A running mountain lion can make a leap 10.0 m long, reaching a maximum height of 3.0 m.?a.What is the speed of the mountain lion just as it leaves the ground? b.At what angle does it leave the ground?

Answers

Answer 1

Answer:

What is the speed of the mountain lion as it leaves the ground?

9.98m/s

At what angle does it leave the ground?

50.16°

Explanation:

This is going to be long, so if you want to see how it was solved refer to the attached solution. If you want to know the step by step process, read on.

To solve this, you will need use two kinematic equations and SOHCAHTOA:

[tex]d = v_it + \dfrac{1}{2}at^{2}\\\\vf = vi + at[/tex]

With these formulas, we can derive formulas for everything you need:

Things you need to remember:

A projectile at an angle has a x-component (horizontal movement) and y-component (vertical movement), which is the reason why it creates an angle.Treat them separately.At maximum height, the vertical final velocity is always 0 m/s going up. And initial vertical velocity is 0 m/s going down.Horizontal movement is not influenced by gravity.acceleration due to gravity (a) on Earth is constant at 9.8m/s

First we need to take your given:

10.0 m long (horizontal) and maximum height of 3.0m (vertical).

[tex]d_x=10.0m\\d_y=3.0m[/tex]

What your problem is looking for is the initial velocity and the angle it left the ground.

Vi = ?     Θ =?

Vi here is the diagonal movement and do solve this, we need both the horizontal velocity and the vertical velocity.

Let's deal with the vertical components first:

We can use the second kinematic equation given to solve for the vertical initial velocity but we are missing time. So we use the first kinematic equation to derive a formula for time.

[tex]d_y=V_i_yt+\dfrac{1}{2}at^{2}[/tex]

Since it is at maximum height at this point, we can assume that the lion is already making its way down so the initial vertical velocity would be 0 m/s. So we can reduce the formula:

[tex]d_y=0+\dfrac{1}{2}at^{2}[/tex]

[tex]d_y=\dfrac{1}{2}at^{2}[/tex]

From here we can derive the formula of time:

[tex]t=\sqrt{\dfrac{2d_y}{a}}[/tex]

Now we just plug in what we know:

[tex]t=\sqrt{\dfrac{(2)(3.0m}{9.8m/s^2}}\\t=0.782s[/tex]

Now that we know the time it takes to get from the highest point to the ground. The time going up is equal to the time going down, so we can use this time to solve for the intial scenario of going up.

[tex]vf_y=vi_y+at[/tex]

Remember that going up the vertical final velocity is 0m/s, and remember that gravity is always moving downwards so it is negative.

[tex]0m/s=vi_y+-9.8m/s^{2}(0.782s)\\-vi_y=-9.8m/s^{2}(0.782s)\\-vi_y=-7.66m/s\\vi_y=7.66m/s[/tex]

So we have our first initial vertical velocity:

Viy = 7.66m/s

Next we solve for the horizontal velocity. We use the same kinematic formula but replace it with x components. Remember that gravity has no influence horizontally so a = 0:

[tex]d_x=V_i_xt+\dfrac{1}{2}0m/s^{2}(t^{2})\\d_x=V_i_xt[/tex]

But horizontally, it considers the time of flight, from the time it was released and the time it hits the ground. Also, like mentioned earlier the time going up is the same as going down, so if we combine them the total time in flight will be twice the time.

T= 2t

T = 2 (0.782s)

T = 1.564s

So we use this in our formula:

[tex]d_x=V_i_xT\\\\10.0m=Vi_x(1.564s)\\\\\dfrac{10.0m}{1.564s}=V_i_x\\\\6.39m/s=V_i_x[/tex]

Vix=6.39m/s

Now we have the horizontal and the vertical component, we can solve for the diagonal initial velocity, or the velocity the mountain lion leapt and the angle, by creating a right triangles, using vectors (see attached)

To get the diagonal, you just use the Pythagorean theorem:

c²=a²+b²

Using it in the context of our problem:

[tex]Vi^{2}=Viy^2+Vix^2\\Vi^2=(7.66m/s)^2+(6.39m/s)^2\\\sqrt{Vi}=\sqrt{(7.66m/s)^2+(6.39m/s)^2}\\\\Vi=9.98m/s[/tex]

The lion leapt at 9.98m/s

Using SOHCAHTOA, we know that we can TOA to solve for the angle, because we have the opposite and adjacent side:

[tex]Tan\theta=\dfrac{O}{A}\\\\Tan\theta=\dfrac{V_i_y}{V_i_x}\\\\\theta=Tan^{-1}\dfrac{V_i_y}{V_i_x}\\\\\theta=Tan^{-1}\dfrac{7.66m/s}{6.39m/s}\\\\\theta=50.17[/tex]

The lion leapt at an angle of 50.16°.

A Running Mountain Lion Can Make A Leap 10.0 M Long, Reaching A Maximum Height Of 3.0 M.?a.What Is The
A Running Mountain Lion Can Make A Leap 10.0 M Long, Reaching A Maximum Height Of 3.0 M.?a.What Is The
Answer 2
Final answer:

a. To find the speed, use projectile motion equations. b. To find the angle, use the equation tan(theta) = vertical velocity / horizontal velocity.

Explanation:

a. To find the speed of the mountain lion just as it leaves the ground, we can use the equations of projectile motion. Since the lion reaches a maximum height of 3.0 m, we know that the initial vertical velocity is 0 m/s. Using the equation v = u + at, where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time, we can solve for the initial vertical velocity. Substituting the values: 0 = u + (-9.8 m/s^2) * t, where t is the time taken to reach the maximum height. Solving this equation gives us the value of t. From the given information of the leap being 10.0 m long, we can use the equation d = ut + (1/2)at^2 to solve for the initial horizontal velocity. Combining the horizontal and vertical velocities using the Pythagorean theorem, we can calculate the speed of the mountain lion.

b. To find the angle at which the mountain lion leaves the ground, we can use the equation tan(theta) = vertical velocity / horizontal velocity. Solving this equation will give us the angle at which the lion leaves the ground.

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Related Questions

Which of the following statements is correct concerning the gas phase?

A gas expands spontaneously to fill its container.
Depending on their chemical nature, two or more gases can form either a homogeneous or heterogeneous mixture.
The volume of a gas is always less than the volume of its container.
When pressure is applied to a gas, its volume increases.

Answers

Answer:

A gas expands spontaneously to fill its container.

Explanation:

A gas would always expand spontaneously in any container to fill it up. Gas moves unaided to assume the volume of the space they are put into. Gas molecules are more random and posses more kinetic energy to drive their movements from one place to another. Gases would not require any energy input to make them move.

The volume of a container would then be the same as the volume of the gas that occupies it. Also, when pressure is applied to a gas, the volume reduces considerably according to "Boyle's law".

A homogeneous mixture would have their constituents existing in just one phase. Regardless of any chemical properties of gases, they form homogeneous mixtures.

If 2 grams of element X combine with 4 grams of element Y to form compound XY, how much element Y would combine with 14 grams of X to form the same compound?

Answers

7. It’s just a question of keeping the ratios the same.

Ree is 27 inches tall on her first birthday. She grows around 6 inches per year after that. What is the rate of change for the scenario described? 6 12 27 33

Answers

Answer:

6

Explanation:

The rate of change in this scenario corresponds to the number of inches that Ree grows every year. Basically, Ree's height can be written as a linear equation as follows:

[tex]y=mx+q[/tex]

where

x is the number of years after the first birthday

y is the height in inches

q = 27 is the height of Ree on her first birthday

m = 6 is the inches gained by Ree at each birthday

So the equation can also be rewritten as

y = 6x + 27

Answer:

6

Explanation:

Aerosol cans use compressed gases to propel the contents out of the can. Which of the following is the best explanation for why aerosol cans should not be overheated? (2 points) The aerosol cans may form a leak, and the compressed gases may condense into a liquid. Gases do not expand when heated, so the excess heat may cause the can to implode. As the can heats, the compressed gases will expand, causing the can to explode. As pressure increases, the gas in the aerosol can vaporize, and the can will no longer work.

Answers

Answer:

As the can heats, the compressed gases will expand, causing the can to explode

Explanation:

We know that the gases in the aerosol can would assume the shape and volume of the can. The volume of the can would be the volume of the compressed gas.

As heat is added to the can, the aerosol gases would gain kinetic energy and their speed would increase. The gases would begin to expand and would require more space in order to move. This would indirectly increase the pressures between gas molecules and the walls of the can as collisions soars.  

A point would eventually be reached where the gas agitation would lead to an explosion.

Overheated aerosol cans would explode.

1. The sedimentary rock known as conglomerate typically forms in _______ environments in which particles can become rounded, such as fast-flowing rivers.

2. An example of _______ is when moving water slows down and particles being transported in the water begin to settle out (sediment) in a new location.

3. _______ is a type of sediment that feels smooth to your fingers but gritty in your mouth.

4. The most common chemical sedimentary rock is _______.

Answers

Answer: 1. high-energy

2. deposition

3. Silt

4. limestone

5. soluble

6. tectonic forces

7. before

8. faunal succession

9. nondeposition

10. coarser

Explanation:

Answer: (1) Fluvial environment

(2) Deposition

(3) Limestone

(4) Sandstone

Explanation:

Conglomerates are those in which the particles are big and rounded. They are formed in the high energy condition, such as fluvial or beach environment having strong winds.Deposition takes place with the rate of transport of fluid or water. If the flow rate is high then the water carry sediments to a far extent, whereas if the flow rate is slow or it stops then the sediments get deposit.Limestone is comprised of calcium carbonate, so when we touch it with our fingers we feel a bit of smoothness and tastes like grit in mouth.Sandstone is the most common one, containing approximately 70-75% of all the sedimentary rocks on earth.

A boy reaches out of a window and tosses a ball straight up with a speed of 10 m/s. The ball is 20 m above the ground as he releases it. Use conversation of energy to find

Part A The ball's maximum height above the ground. Part B The ball's speed as it passes the window on its way down. Part C The speed of impact on the ground.

Answers

Answer:

A.25.096m

B.10m/s

V=22.189m/s

Explanation:

Part A The ball's maximum height above the ground. Part B The ball's speed as it passes the window on its way down. Part C The speed of impact on the ground.

newton's equation of motion

V^2= u^2+2as

a=-g since it is going against gravity

S=h s= distance travelled

h=height

V=final velocity

U=initial velocity

V=o

u=10m/s

0=100+2(-9.81)h

h=100/19.62

h=5.096m

The maximum height above ground level=

Height from thr window to the maximum the ball reached before coming downward+ height from the window to the ground level

H=h+h1

H=5.096+20

25.096m

2.part b

The final velocity as it reach its maximum height upward becomes zero and then the final velocity upward= the initial velocity when coming down

V=U =0

v^2=u^2+2ah

V^2=0+2(9.81)(5.096)

V=9.99917596605

V=10m/s

3. Speed of its impact on the ground

v^2=u^2+2ah

V^2=0+2(9.81)(25.096)

V^2=492.38352

V=22.189m/s

Using the conversion of energy to resolve the questions

The ball's maximum height above ground = 25.10 m The ball's speed on its way down = 10 m/s The impact speed on the ground = 22.19 m/s

Given data :

initial speed of ball = 10 m/s

Distance of ball from ground ( h ) = 20 m

A) Determine the ball's maximum height above ground

we will apply the Newton's motion equation

V² = u² + 2as ------ ( 1 )

where ; u = 0 m/s, v = 0 m/s ,  a = -9.81 m/s² ,   s = ?

Insert values into equation ( 1 )

0 = 100 + 2(-9.81 ) * s

s = 5.1 m

∴ Ball's maximum height ( H ) = s + h = 5.1 + 20 =  25.1 m

B) Determine the Ball's speed as it passes the window on its way down

V² = u² + 2as

where ; V = ? , u = 0 , a = 9.81 m/s² , s = 5.1 m

Hence ; V² = 0 + 2 ( 9.81 ) * 5.1 m

V = 10 m/s

C) Determine the speed of impact on the ground

V² = u² + 2aH

where ; V = ? , u = 0,  a = 9.81 m/s²,   H = 25.1 m

insert values into equation above

V² = 0 + 2( 9.81 ) * 25.1

V = √(0 + 2( 9.81 ) * 25.1 )

    = 22.19 m/s

Hence we can conclude that The ball's maximum height above ground = 25.10 m, The ball's speed on its way down = 10 m/s , The impact speed on the ground = 22.19 m/s.

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In each of the parts of this question, a nucleus undergoes a nuclear decay. Determine the resulting nucleus in each case.

A) {\rm ^{227}_{\;\;89}Ac} undergoes alpha decay. Determine the resulting nucleus.

B) {\rm ^{211}_{\;\;83}Bi} undergoes beta-minus decay. Determine the resulting nucleus.
C) {\rm ^{22}_{11}Na} undergoes beta-plus decay. Determine the resulting nucleus.
D) {\rm ^{98}_{43}Tc} undergoes gamma decay. Determine the resulting nucleus.

Answers

A) Francium-223

In an alpha decay, a nucleus decay emitting an alpha particle, which corresponds to a nucleus of helium: so, it consists of 2 protons and 2 neutrons.

[tex]X \rightarrow X' + \alpha[/tex]

This means that in the decay:

- The original nucleus loses 2 protons --> so its atomic number Z decreases by 2 units

- The original nucleus loses 2 nucleons (2 protons and 2 neutrons) --> so its mass number A decreases by 4 units

In this example, the original nucleus is Ac (Actinium), with

Z = 89

A = 227

After the decay, it must be

Z - 2 = 89 - 2 = 87

A - 4 = 227 - 4 = 223

We see from the periodict table, Z=87 corresponds to Francium (Fr), so the final nucleus will be francium-223 (the isotope of francium with 223 nucleons).

B) Polonium-211

In a beta-minus decay, a neutron in the nucleus turns into a proton, emitting a fast-moving electron (the beta particle) and an anti-neutrino.

[tex]n \rightarrow p + e^- + \bar{\nu}[/tex]

Therefore, in this process:

- The original nucleus gains 1 protons, so its atomic number Z increases by 1 unit

- The original nucleus does not lose/gain nucleons, so its mass number A remains the same

In this example, the original nucleus is Bi (bismuth)-211, with

Z = 83

A = 211

So After the decay, it will be

Z + 1 = 83 + 1 = 84

A = 211

So, the nucleus will be Polonium (Z=84), isotope with 211 nucleons.

C) Neon-22

In a beta-plus decay, a proton in the nucleus turns into a neutron, emitting a fast-moving positron (the beta particle) and a neutrino.

[tex]p \rightarrow n + e^+ +\nu[/tex]

Therefore, in this process:

- The original nucleus loses 1 protons, so its atomic number Z decreases by 1 unit

- The original nucleus does not lose/gain nucleons, so its mass number A remains the same

In this example, the original nucleus is Na (sodium)-22, with

Z = 11

A = 22

So After the decay, it will be

Z - 1 = 11 - 1 = 10

A = 22

So, the nucleus will be Neon (Z=10), isotope with 22 nucleons.

D) Technetium-98

In a gamma decay, an unstable nucleus emits a gamma ray:

[tex]X' \rightarrow X + \gamma[/tex]

In this process, only energy is released (in the form of gamma ray), so there is no gain/loss of protons/neutrons in the process. This means that:

- The atomic number Z remains constant

- The mass number A remains constant

In this example, we have a nucleus of Tc (Technetium)-98, with

Z = 43

A = 98

These numbers will not change during the decay: this means that after the decay, we will still have a nucleus of Technetium-98.

How does the speed of visible light compare with the speed of gamma rays

Answers

Answer:

They are the same

Explanation:

Electromagnetic waves consist of perpendicular oscillations of electric and magnetic field, which oscillate perpendicularly to the direction of motion of the wave (transverse wave). One property of the electromagnetic waves is that they travel in a vacuum always at the same speed, called speed of light:

[tex]c=3.0\cdot 10^8 m/s[/tex]

Electromagnetic waves are classified into 7 different types according to their frequency; from highest to lowest frequency, we have:

Gamma rays

X-rays

Ultraviolet

Visible light

Infrared

Microwaves

Radio waves

We see that both visible light and gamma rays are electromagnetic waves, so they both travel in a vacuum at the same speed, the speed of light.

The impulse experienced by a body is equivalent to the body’s change in

Answers

Answer:

Momentum

Explanation:

The momentum of a particle is defined as the product of the particle mass and the particle velocity as follows:

[tex]\overrightarrow{p}=m\overrightarrow{v}[/tex]

On the other hand, the impulse of a constant force is defined as:

[tex]\overrightarrow{J}=\varSigma\overrightarrow{F}(t_{2}-t_{1})=\varSigma\overrightarrow{F}\Delta t[/tex]

We also know that the net force acting on  a particle equals the rate of change  of the particle’s momentum, so:

[tex]\varSigma\overrightarrow{F}=m\overrightarrow{a}=m\frac{d}{dt}(\overrightarrow{v})=\frac{d}{dt}(m\overrightarrow{v})=\frac{d\overrightarrow{p}}{dt}[/tex]

If the force is constant, then [tex]\frac{d\overrightarrow{p}}{dt}[/tex] equals the total change in momentum over a period of time:

[tex]\varSigma\overrightarrow{F}=\frac{\overrightarrow{p_{2}}-\overrightarrow{p_{1}}}{t_{2}-t_{1}} \\ \\ \varSigma\overrightarrow{F}(t_{2}-t_{1})=\overrightarrow{p_{2}}-\overrightarrow{p_{1}} \\ \\ \boxed{\overrightarrow{J}=\Delta \overrightarrow{p}}[/tex]

Final answer:

The impulse experienced by a body is equivalent to its change in momentum. This principle is based on Newton's second law of motion. Impulse is the product of the force and the duration over which it is applied.

Explanation:

The impulse experienced by a body is equivalent to the body’s change in momentum. This principle is based on Newton's second law, which in terms of momentum states that the net force applied to a system equals the rate of change of the momentum that the force causes. In simpler terms, when a force is applied on an object for a certain amount of time, the object experiences an impulse. This impulse is the difference between the initial and final momentum of the object.

For example, consider a ball bouncing off a floor. If the force of the floor on the ball is constant over a specific duration, then the resulting impulse or change in momentum can be calculated by multiplying the force by the duration of the force application. So, an impulse can cause the object's motion to change due to the effect it has on the ball's momentum.

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The full range of frequencies of electromagnetic radiation is called

Answers

Answer: electromagnetic spectrum

The electromagnetic spectrum is the set of electromagnetic radiations distributed in their different frequencies or wavelengths, which in turn are related to their energy.

If we go from the smallest wavelengths known up to now (because according to physics the electromagnetic spectrum is infinite and continuous) to the longest, the electromagnetic spectrum covers the following radiations:

Gamma rays, X-rays, ultraviolet, visible light (all the colors we are able to see), infrared, radio waves and microwaves.

Where those with shorter wavelength (or higher frequency) have more energy than those with a longer wavelength.

The electromagnetic spectrum encompasses all wavelengths and frequencies of electromagnetic radiation, including radio waves and gamma rays.

Electromagnetic spectrum refers to the full range of wavelengths or frequencies of electromagnetic radiation.

The electromagnetic spectrum covers wavelengths from radio waves to gamma rays, including visible light, infrared, and ultraviolet light.

The relationship between frequency and wavelength is key in understanding the electromagnetic spectrum.

Imagine a raindrop starting from rest in a cloud 2 km in the air. If it fell with no air friction at all, it would accelerate toward the ground with gravitational acceleration of 9.8m/s2. What would the speed of the drop be when it reached the ground? Convert your answer into miles per hour.
1) 212 mph
2) 433 mph
3) 774 mph
4) 72.5 mph

Answers

Answer:

2) 433 mph

Explanation:

The final velocity of the raindrop as it reaches the ground can be found by using the equation for a uniformly accelerated motion:

[tex]v^2 = u^2 + 2ad[/tex]

where

v is the final velocity

u = 0 is the initial velocity (the raindrop starts from rest)

a = g = 9.8 m/s^2 is the acceleration due to gravity

d = 2 km = 2000 m is the distance covered

Solving for v,

[tex]v=\sqrt{u^2 +2gd}=\sqrt{0^2+2(9.8 m/s^2)(2000)}=198 m/s[/tex]

And keeping in mind that

1 mile = 1609 metres

1 hour = 3600 s

The speed converted into miles per hour is

[tex]v=198 \frac{m}{s}\cdot \frac{3600 s/h}{1609 m/mi}=433 mph[/tex]

Which two subatomic particles make up the nucleus of an atom?

Answers

Answer:

protons and neutrons

Explanation:

Layer of the atmosphere where jets fly through and contains ozone layer is called ________

Answers

Answer:

The stratosphere

Answer:youre moms pssy is sweet is the nswer to this question

Explanation:

What are characteristics of

1. Temperate Grasslands

2. Chaparral

3. Rainforests

4. Aquatic ecosystems

Answers

1) Temperate Grasslands-Have hot summers and cold winters.

2) Chaparral-A hot coastal biome.

3) Rainforests-A lot of rain, average temperatures, nutrient-poor soil, and have many exotic animals.

4) Aquatic ecosystems-Is an ecosystem in a body of water where many communities of organisms are dependent on each other and their environment.

Large electric fields in cell membranes cause ions to move through the cell wall. The field strength in a typical membrane is 1.0 times 10^7 N/C. What is the magnitude of the force on a calcium ion with charge +e? Express your answer using two significant figures.

Answers

Answer:

[tex]1.6\cdot 10^{-12}N[/tex]

Explanation:

The electric force on a charged particle is given by

[tex]F=qE[/tex]

where

q is the charge of the particle

E is the strength of the electric field

In this problem, we have

[tex]E=1.0\cdot 10^7 N/C[/tex] is the electric field strength

[tex]q=+e=+1.6\cdot 10^{-19}C[/tex] is the charge of the calcium ion

Therefore, the electric force exerted on the calcium ion is

[tex]F=(1.6\cdot 10^{-19}C)(1.0\cdot 10^7 N/C)=1.6\cdot 10^{-12}N[/tex]

Which radiation has no electric charge associated with it?
A) gamma rays
B) beta rays
C) alpha rays
D) all of these
E) none of these

Answers

Beta rays . . . No.  These are streams of negatively charged electrons.

Alpha rays . . . No.  These are streams of pairs of positively charged protons, identical to nucleii of Helium atoms.

Gamma rays (A) . . . Yes.  These are electromagnetic waves, not composed of charged particles.

Final answer:

Gamma rays are radiation that has no electric charge associated with it, as they are electromagnetic waves created from energy transitions in atomic nuclei.

Explanation:

Among the options given, gamma rays have no electric charge associated with them. Alpha rays are helium nuclei consisting of 2 protons and 2 neutrons and carry a positive charge. Beta rays are high-energy electrons or positrons and carry a negative or positive charge respectively. However, gamma rays are electromagnetic waves, similar to light or X-rays, and do not carry a charge because they are created from energy transitions in the atomic nucleus.

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What is the largest tsunami ever recorded

Answers

Answer: The tsunami occurred on 1958 at Lituya Bay, Alaska.

The Lituya Bay tsunami occurred on July 9th, 1958, northeast of the Gulf of Alaska. It was as a consequence of a strong earthquake of magnitude 8.3 on the Ritchter scale along the Fairweather Fault in the Alaskan Panhandle, which caused a landslide in a fjord in Lituya Bay, collapsing an entire mountain and generating a gigantic wave that rose to 524 meters, the highest recorded so far.

It should be noted that despite its great magnitude and having uprooted all the trees and vegetation of the place, this mega-tsunami claimed only five lives because the area was not as inhabited as the large cities are.

Final answer:

The largest tsunami recorded was the result of the magnitude 9.0 earthquake off Japan's coast in 2011, producing waves over 130 feet high, while the 2004 Indian Ocean earthquake generated a tsunami causing approximately 283,000 fatalities.

Explanation:

The largest tsunami ever recorded occurred on March 11, 2011, following a magnitude 9.0 earthquake off the eastern coast of northern Japan. This earthquake, which is the strongest to ever hit Japan, caused a tsunami with waves that reached heights of more than 130 feet. The massive waves resulted in extensive damage and the loss of life, with over 15,500 fatalities. Another catastrophic event was the Indian Ocean tsunami in 2004, caused by a 9.0 magnitude earthquake that generated waves killing around 283,000 people across 11 countries.

These events illustrate the devastating impact of tsunamis, which are large ocean waves typically triggered by underwater earthquakes or volcanic eruptions. The severity of the damage can be exacerbated in areas with nuclear power plants, as seen in the 2011 Japan tsunami, which knocked out cooling systems and resulted in nuclear meltdowns and radiation exposure.

A ray of light traveling in air strikes the surface of water at an angle of incidence of 35 degrees. Calculate the angle of refraction of the light in water. Index of refraction of water is 1.33, while that for air is 1.00.


Remember to identify all of your data, write the equation, and show your work.

Answers

Answer:

[tex]25.5^\circ[/tex]

Explanation:

To calculate the angle of refraction you can use Snell's law:

[tex]\text{n}_1*\sin\theta_1 = \text{n}_2*\sin\theta_2[/tex]

With what we have:

[tex]\text{n}_1 =1\\\text{n}_2= 1.33\\sin\theta_1 = 35^\circ\\sin\theta_2=x[/tex]

[tex]\therefore 1 *sin35^\circ =1.33*sin\theta_2\\\\sin\theta_2=\frac{1 *sin35^\circ}{1.33}\\\\\theta_2=\sin^{-1}(\frac{1 *sin35^\circ}{1.33})\\\\\theta_2= 25.5476^\circ\approx 25.5^\circ[/tex]

Final answer:

The angle of refraction of light in water can be calculated using Snell's Law, which compares the angles of incidence and refraction and the refractive indices of the two media. In this case, the angle of refraction is approximately 23 degrees.

Explanation:

The angle of refraction of light can be calculated using Snell's Law which states that the ratio of the sine of the angle of incidence to the sine of the angle of refraction is equal to the ratio of the refractive indices of the two media.



In this case, the angle of incidence is 35 degrees, the refractive index of air is 1.00, and the refractive index of water is 1.33.



Using the formula:



sin(angle of incidence) / sin(angle of refraction) = (refractive index of air) / (refractive index of water)



We can solve for the angle of refraction:



sin(35) / sin(angle of refraction) = 1.00 / 1.33



Simplifying the equation, we find that the angle of refraction is approximately 23 degrees.

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What is the binding energy of a nucleus?

Answers

The nucleons. There are protons and neutrons in the nucleus and both are made of quarks and weigh 1 dalton. The nucleus also has an overall positive charge

A free electron is moving with a velocity of 3 × 105 m/s. It strikes a stationary electron in a head-on elastic collision. The mass of an electron is 9.1093 × 10-31 kg. What will be the magnitude and direction of the momentum of the stationary electron, post collision?

Answers

Answer:

After the colision, the stationary electron's momentum is given as:

P = 2.7328 x 10^(-25) kg m/s

The direction of momentum is the same as the direction of velocity of the electron.

Explanation:

In an Isolated system, when an object moving at some velocity v collides head on with a stationary object of equal mass. There velocities are exchanged.

This means that the first electron will become stationary and the electron which was stationary initially will start moving at a velocity of 3*10^(5)m/s in the same direction as the first electron.

Post collision momentum of the stationary electron:

V = 3 x 10^5 m/s

m = 9.1093 x 10^(-31) kg

Momentum = P = mV =  9.1093 x 10^(-31) x 3 x 10^5

P = 2.7328 x 10^(-25) kg m/s

The direction of momentum is the same as the velocity of the electron.

Answer:

273.279 × 10-25 kg.m/s, in the same direction as the incident electron

Explanation:

The momentum of the stationary electron post collision will be 273.279 × 10-25 kg.m/s, in the same direction as the incident electron.

Momentum of the incident electron = mv

= 9.1093 × 10-31 × 3 × 105

= 273.279 × 10-25 kg.m/s

In the collision of the electrons, the total momentum is conserved. Since it is an elastic collision, the momentum of the incident electron is completely transferred to the stationary electron. So it will have the same momentum as the incident electron. It will also move in the direction of the incident electron.

The space shuttle orbits 310 km above the surface of the Earth.

What is the gravitational force on a 5.0 kg sphere inside the space shuttle?
Express your answer with the appropriate units.

Answers

Answer:

44.7 N

Explanation:

The gravitational force between the objects is given by:

[tex]F=G\frac{mM}{r^2}[/tex]

where

G is the gravitational constant

m and M are the masses of the two objects

r is the distance between the centres of the two objects

In this problem, we have:

[tex]m=5.0 kg[/tex] is the mass of the sphere

[tex]M=5.98\cdot 10^{24} kg[/tex] is the Earth's mass

[tex]R=6370 km[/tex] is the Earth's radius, while h=310 km is the altitude of the sphere, so the distance of the sphere from Earth's centre is

[tex]r=6370 km+310 km=6680 km=6.68\cdot 10^6 m[/tex]

Substituting into the equation, we find

[tex]F=(6.67\cdot 10^{-11})\frac{(5.0 kg)(5.98\cdot 10^{24} kg)}{(6.68\cdot 10^6 m)^2}=44.7 N[/tex]

Final answer:

To calculate the gravitational force on a 5.0 kg sphere inside the space shuttle, you can use the formula F = mg. However, since the sphere is inside the space shuttle and not on the surface of the Earth, you need to calculate the acceleration due to gravity using the formula g = G(M/R^2). Plugging in the values, you can find the gravitational force on the sphere.

Explanation:

The gravitational force on a 5.0 kg sphere inside the space shuttle can be determined using the formula F = mg, where F is the gravitational force, m is the mass of the object, and g is the acceleration due to gravity. In this case, since the sphere is inside the space shuttle and not on the surface of the Earth, the acceleration due to gravity will be different. The acceleration due to gravity is given by g = G(M/R^2), where G is the gravitational constant, M is the mass of the Earth, and R is the distance between the object and the center of the Earth.

Given that the space shuttle orbits 310 km above the surface of the Earth, we need to convert this distance into meters (1 km = 1000 m). So the distance R becomes 310,000 m.

Plugging in the values into the formula, the gravitational force on the sphere inside the space shuttle is:

Convert the distance into meters: R = 310,000 mCalculate the acceleration due to gravity: g = (6.67430 × 10^-11 N m^2/kg^2) * (5.972 × 10^24 kg) / (310,000 m)^2Calculate the gravitational force: F = (5.0 kg) * g

Using these calculations, you can find the gravitational force on the 5.0 kg sphere inside the space shuttle. Don't forget to include the appropriate units in your answer!

Learn more about gravitational force here:

https://brainly.com/question/32609171

#SPJ11

How are step up transformers used in the transmission of electrical energy

Answers

Answer:

Transformers are used to increase or decrease the voltage of AC currents

Explanation:

A transformer is a device consisting of two coils (called primary and secondary coil) wrapped at the two sides of a soft iron core. When an AC current is present in the primary coil, it induces a magnetic field inside the core, and the presence of this changing magnetic field induces a voltage (and a current) into the secondary coil.

The voltages in the primary and the secondary coil are related by the transformer equation:

[tex]\frac{V_p}{V_s}=\frac{N_p}{N_s}[/tex]

where

Vp, Vs are the voltages in the primary and secondary coil

Np, Ns are the number of turns in the primary and secondary coil

There are two types of transformers:

- Step-up transformers: these have [tex]N_s > N_p[/tex], so that [tex]V_s > V_p[/tex], which means that they increase the voltage. They are used to increase the voltage of the AC current produced by the power plants, before being sent into the transmission lines.

- Step-down transformers: these have [tex]N_s < N_p[/tex], so that [tex]V_s < V_p[/tex], which means that they decrease the voltage. They are used at the end of the transmission lines, before the houses, in order to decrease the voltage and allow the household appliances to work properly (in fact, household appliances need lower voltages to work)

How does the electric potential energy change as the electron moves from i to f?

Answers

Answer: it increases

Explanation: .

What are the three main categories of elements?

Answers

Answer:

Classification of the Elements. These three groups are: metals, nonmetals, and inert gases.

Explanation:

Answer:If you're referring to Organic Molecules, then they are CARBON, HYDROGEN and OXYGEN.

Explanation:

Christopher came down with chicken pox after spending time in his child's day care. The chicken pox represents what link in the chain of transmission in this scenario? A. Susceptible host B. Infectious agent C. Mode of transmission D. Portal of entry E. Reservoir Reset Next

Answers

B the chicken pox is the infectious agent

which unit describes the amount of potential energy that each charge has in a circuit?
A.Voltage
B.Resistance
C.Current
D.Power

Answers

Answer:

I believe the answer is A. Voltage

Explanation:

Answer:

[tex]A. Voltage[/tex]

Explanation:

As we know that electric potential is defined as the work done to move a unit charge from one potential to other potential.

Here the unit charge is moved from lower potential to higher potential then in that case the work done to move the charge is stored in the form of potential energy

this is given as

[tex]V = \frac{W}{q}[/tex]

so here we can say that the correct answer for the amount of potential energy for each charge is given as

[tex]A. Voltage[/tex]

The material through which a mechanical wave travels is a.a medium.b.empty space.c.ether.d.air

Answers

Answer: Medium

The medium is the main factor that differentiates a mechanical wave from an electromagnetic wave, since the first can not propagate without its existence, while the second can propagate regardless of whether the medium exists or not.

In addition, it is the medium that will define, the propagation speed of the wave, according to its specific physical characteristics.

Therefore, the correct answer is a.

4. In general, the electric force is directly related to the magnitude (strength) of the charges. This means that as the magnitude of the charges increases, the electric force will also:
A. Increase
B. Decrease
C. Not change at all
D. There is no way to know

5. Therefore, when the magnitude of one charge is increased by a factor, the magnitude of the force will…
A. Increase by the same factor
B. Decrease by the same factor
C. Increase by the square of the factor
D. Decrease by the square of the factor
E. Not change at all

Based on your previous answers, which statement best describes how the electric force would change if the magnitude of Charge 1 were DECREASED?
A. The electric force would decrease.
B. The electric force would increase.
C. The electric force would not change.
D. There is no way to know.

My teacher didn't explain this well

Answers

4.  A. Increase

The magnitude of the electric force between two charges is given by Coulomb's law:

[tex]F=k\frac{q_1 q_2}{r^2}[/tex]

where

k is the Coulomb's constant

q_1 and q_2 are the two charges

r is the separation between the two charges

As we see from the formula, the strength of the electric force is:

- directly proportional to the two charges q1 and q2

- inversely proportional to the square of the distance r

Therefore, we can conclude that:

- if the magnitude of the charges increases, then the magnitude of the force will increases as well

- if the separation between the charges increases, then the magnitude of the force will decrease

5. A. Increase by the same factor

Again, the magnitude of the electric force between the two charges is given by Coulomb's law:

[tex]F=k\frac{q_1 q_2}{r^2}[/tex]

we have said that the force F is directly proportional to the two charges q_1 and q_2.

Let's assume now that charge q_1 is increases by a certain factor A. Then the electric force will change as follows:

[tex]F'=k\frac{(A q_1) q_2}{r^2}=A(k\frac{q_1 q_2}{r^2})=A\cdot F[/tex]

so, the magnitude of the electric force has increased by the same factor.

6. A. The electric force would decrease.

This part is similar to part 5, however this time the charge q_1 is decreased.

This means that we can rewrite the new charge q1 as

[tex]q_1 ' = \frac{q_1}{A}[/tex]

where A > 1. Let's see how the electric force changes:

[tex]F'=k\frac{(\frac{q_1}{A}) q_2}{r^2}=\frac{1}{A}(k\frac{q_1 q_2}{r^2})=\frac{F}{A}[/tex]

This means that the magnitude of the electric force has decreased by the same factor.

The coefficient of static friction between waxed skis and now snow is 0.14. What force will be needed to get a 700 N skier at rest moving?
A: 28 N
B: 70 N
C: 98 N
D: 980 N

Answers

Answer:

C. 98 N

Explanation:

The force needed to get the skier at rest moving must be at least equal to the maximum static frictional force acting on the skier, which is given by

[tex]F=\mu W[/tex]

where

[tex]\mu = 0.14[/tex] is the coefficient of static friction

W = 700 N is the weight of the skier

Substituting into the equation, we find

[tex]F=(0.14)(700 N)=98 N[/tex]

Answer:

c

Explanation:

μ = f/N where μ is the coefficient of friction; f is the amount of force that resists motion, and N is the normal force. You must solve for f here so 700 N x .14 = 98 N.

In an adiabatic process, the internal energy of a system decreases by 34,000 J. What is the work done by the system?

Answers

Adiabatic free expansion, no heat transfers and no work on the system. Adiabatic compression would increase the internal energy of the system. In an adiabatic compression, 200 J of work is done on a gas.

Final answer:

The work done by the system in an adiabatic process where the internal energy decreases by 34,000 J is also -34,000 J.

Explanation:

In an adiabatic process, where no heat is exchanged with the surroundings, the change in internal energy (ΔU) of a system is equal to the work done (W) by the system. Therefore, if the internal energy of a system decreases by 34,000 J, the work done by the system on the surroundings is also -34,000 J (the negative sign indicates that work is done by the system). This is based on the first law of thermodynamics, which in the adiabatic case simplifies to ΔU = W, since the heat transfer (Q) is zero.

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