A kitten sits in a lightweight basket near the edge of a table. A person accidentally knocks the basket off the table. As the kitten and basket fall, the kitten rolls, turns, kicks, and catches the basket in its claws. The basket lands on the floor with the kitten safely inside. If air resistance is negligible, what is the acceleration of the kitten-basket system while the kitten and basket are in midair? A The acceleration is directed downward with magnitude less than g because the basket is light. B The acceleration is directed downward with magnitude equal to g because the system is a projectile. C The acceleration fluctuates because of the rolling, turning, and kicking motion of the kitten. D The acceleration cannot be determined without knowing how hard the basket is pushed.

Answer:

The net force is zero, if there is not external forces. The net force if the body is accelerating will be the product of the mass by the acceleration.

Explanation:

If the box does not accelerate, there are two possible options, either the box moves at constant velocity or does not receive any external force to alter its balance.

Newton's Second Law, also known as the Fundamental Law of dynamics, determines a proportional relationship between Force and variation of the amount of motion or linear moment of a body. In other words, The Force is directly proportional to the mass and acceleration of a body.

[tex]F=m*a\\where:\\m= mass [kg]\\a=acceleration[m/s^2][/tex]

[tex]0=m*a\\a=0[m/s^2][/tex]

If there are forces acting on the body and these forces are not in balance the body will move with a resulting force equal to the product of mass by acceleration.

[tex]F_{net} =m*a[/tex]

Answer:

its true on practice test ed

Explanation:

Culture creates the context for behavior in society. Culture plays a major role in the lives of everyone living in the society.  The given statement is true.

Culture is such a powerful influence on the outlooks and behaviors which often we are not even aware of it, instead of believing the perspectives are just the way things are. In the context of increasingly diverse classroom settings, such as the unexamined beliefs can lead to avoidable conflict and a loss of valuable things.

A culture creates the context for behavior through the reinforcements and punishments which it provides for each discrete behavior. By shaping the behaviors, cultures that reaffirm acceptable behavior and discourage deviant behavior.

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Answer:

I want to say your answer is A) an ocean wave approaching the shore at an angle. But not 100% sure. I'm so sorry if it's wrong I really tried to figure it out.

Explanation:

Refraction of waves involves a change in the direction of waves as they pass from one medium to another. Refaction , or the bending of the path of the waves, is accompanied by a change in speed and wavelength of the waves. Thus, if water waves are passing from deep water into shallow water, they will slow down. ( This is what I read on google maybe it'll help you out).

Answer:

an ocean wave approaching the shore at an angle

The maximum efficiency is 10%

Explanation:

The maximum efficiency of a machine is given by:

[tex]\eta=1-\frac{T_C}{T_H}[/tex]

where

[tex]T_H[/tex] is the temperature of the hot reservoir

[tex]T_C[/tex] is the temperature of the cold reservoir

For the machine in this problem, we have:

[tex]T_H=400K[/tex] is the temperature of the hot reservoir

[tex]T_C=360K[/tex] is the temperature of the cold reservoir

substituting, we find the max efficiency:

[tex]\eta=1-\frac{360}{400}=0.1[/tex]

So, the efficiency is 0.10 (10%).

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Answer:

10.0%

Explanation:

Answer:

Let's begin by explaining that the electromagnetic spectrum is the set of electromagnetic radiations distributed in their different frequencies or wavelengths. So, 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, infrared, radio waves and microwaves:

-Gamma rays: With a wavelength in the order of [tex]10^{-12}m [/tex], is a type of ionizing radiation capable of penetrating matter quite deeply and is able to cause serious damage to the nucleus of the cells.

-X rays: With a wavelength between [tex]1m[/tex] and [tex]10km[/tex]. It is invisible to the human eye, capable of crossing opaque bodies and is also an ionizing radiation.

-Ultraviolet light (UV): Whose wavelength is approximately between 100 nm and 380 nm; is a type of electromagnetic radiation that is not visible to the human eye.  

-Visible light: This part of the spectrum is located between ultraviolet light and infrared light (400 nm - 800 nm). It should be noted, the fact the only part of the whole electromagnetic spectrum is visible to humans is because the receptors in our eyes are only sensitive to these wavelengths.

-Infrared: This type of radiation is not visible to the human eye, since its wavelengths are outside the visible spectrum (between 700 nm and 1 mm).  

These waves can be divided into:  

- Near infrared or long wave infrared: it is the least sensitive to color and is easily absorbed by water.  

- Medium or medium wave infrared: it is also insensitive to color and easily absorbed by water and many types of plastics and paints.  

- Far infrared or short wave infrared: it is more penetrating than the long wave and is good for heating metals, these waves also can pass through clear materials.  

This light has many uses, including heating lamps in physiotherapy and medical treatments, heat sensing devices, among others.

-Radio waves: This is a type of electromagnetic radiation with wavelengths between 10 m to 10,000 m. This type of electromagnetic waves is very well reflected in the ionosphere, the layer of the atmosphere through which they travel directly or using repeaters. In addition, this radiation is important in telecommunications.

Answer:

a) t = 1second

b) KE = 1000Joules

Explanation:

According to equation of motion,

S = ut+1/2at² where

S is the distance or height of fall = 5m

u = initial velocity = 0m/s²

a = +g = acceleration due to gravity = 10m/s²

Substituting the values in the formula to get the time we have,

5 = 0+1/2(10)t²

5 = 5t²

t² = 1

t = 1second

Time taken by the stone to reach the ground is 1second

b) Kinetic energy is the energy possessed by a body by virtue if its motion.

KE = 1/2MV² where m is the mass of the body and v is the velocity.

Given mass = 20kg

To get the velocity, we will use the equation of motion,

v = u + at

v is the final velocity

u is the initial velocity = 0m/s

a = +g = 10m/s

t = time = 1second

v = 0+10(1)

v = 10m/s

KE = 1/2×20×10²

KE = 10×100

KE = 1,000Joules

Answer:

5 moles of O2are required, you can see it in your equation.

Answer:

5 moles of O2are required, you can see it in your equation.

Explanation:

The power expended is 500 W

Explanation:

First of all, we start by calculating the work done by the man in order to ascend: this is equal to the gravitational potential energy gained by the man, which is

[tex]W=mg\Delta h[/tex]

where

m = 50 kg is the mass of the man

[tex]g=10 m/s^2[/tex] is the acceleration of gravity

[tex]\Delta h = 5 m[/tex] is the change in height

Substituting,

[tex]W=(50)(10)(5)=2500 J[/tex]

Now we can calculate the power expended, which is given by

[tex]P=\frac{W}{t}[/tex]

where

W = 2500 J is the work done

t = 5 s is the time elapsed

Substituting, we find

[tex]P=\frac{2500}{5}=500 W[/tex]

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Answer:

Net force is Zero.

Explanation:

If all forces that are equal and opposite are exerted on an object the resulting force will be Zero.

Answer:

If the net force in the stuffed toy is zero, this means that the forces that the children apply on the toy cancel each other.

This can happen if, for example, two kids pull by one side with a force F and the other two kids pull by the other side with the same force -F (the minus sign is because the direction is the opposite)

Then, the total force is F + (-F) = F - F = 0

Answer: Commercialism

Explanation: Because one organism is benefited and one stay neutral

The amount of energy needed to melt the ice is 1670 J

Explanation:

The amount of thermal energy needed to completely melt a certain amount of solid substance (already at melting point) is given by

[tex]Q=m\lambda_f[/tex]

where

m is the amount of the substance

[tex]\lambda_f[/tex] is the specific latent heat of fusion of the substance

Here, the mass of the ice is

m = 5 g = 0.005 kg

And the specific latent heat of fusion of ice is

[tex]\lambda_f = 334,000 J/kg[/tex]

Assuming that the ice is already at melting point, the thermal energy needed to melt the ice is

[tex]Q=(0.005)(334,000)=1670 J[/tex]

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To melt 5 grams of ice, 1670 J or 1.67 kJ of energy is required. This calculation is based on the specific latent heat of melting for water, which is 334000 J/kg.

To calculate the energy required to melt ice, the specific latent heat of melting for water is required. For water, the specific latent heat of fusion (melting) is 334000 J/kg. To find the energy needed to melt 5 grams of ice, this value needs to be used in the formula:

Q = mLf

where Q is the energy in joules, m is the mass of the substance in kilograms, and Lf is the latent heat of fusion in joules per kilogram. First, convert the mass of ice from grams to kilograms:

5 g = 0.005 kg

Next, apply the values to the formula:

Q = (0.005 kg)(334000 J/kg) = 1670 J or 1.67 kJ.

This is the amount of energy needed to melt 5 grams of ice at 0°C.

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Answer:

Twice

Explanation:

Use constant acceleration equation:

x = x₀ + v₀ t + ½ at²

where x is the final position,

x₀ is the initial position,

v₀ is the initial velocity,

a is the acceleration,

and t is time.

The position of the car is:

x = (84) + (0) t + ½ (2) t²

x = 84 + t²

The position of the motorcycle is:

x = (0) + (20) t + ½ (0) t²

x = 20t

When the positions are equal:

84 + t² = 20t

t² − 20t + 84 = 0

(t − 6) (t − 14) = 0

t = 6 or 14

The vehicles meet twice, once after 6 seconds, and once after 14 seconds.

Answer:

t = 2.2 [days] and is there is a round trip, it will be double time t = 4.4 [days]

Explanation:

First, we need to arrange the problem to work in the same unit system (SI).

We need to convert the 1800 [miles] to meters, therefore:

[tex]1800[miles] * \frac{1609.34[m]}{1[mile]} }=2896812[m] = 2896.8[km][/tex]

Now using the following equation of kinematics, for the avarage velocity  we have:

[tex]v=\frac{x}{t} \\where \\v=velocity [m/s]\\t = time [s]\\x=distance traveled [m]\\[/tex]

therefore:

[tex]t=\frac{x}{v} \\t=\frac{2896812}{15}\\ t=193120.8[s][/tex]

Now we can convert from seconds into days.

[tex]193120.8[s]*\frac{1[hr]}{3600[s]}*\frac{1[day]}{24[hr]}\\  t = 2.2[days][/tex]

Now if the truck has the need to come back, the team will spend double time.

t= 4.4 [days]

It would take approximately [tex]4.47[/tex] days to drive a truck from California to Lansing and back, considering an average speed of [tex]15 m/s[/tex]. This speed converts to [tex]33.55 mph[/tex], and the total round trip distance is 3600 miles.

Calculating the Duration of the Trip

To determine how many days it takes a team of drivers to drive a truck from California to Lansing and back, we need to follow these steps:

Given the average speed is [tex]15 m/s[/tex] , we convert it as follows:[tex]15 \, \text{m/s} = 15 \times 2.23694 = 33.55 \, \text{mph}[/tex]   (since [tex]1 m/s = 2.23694 mph[/tex]).

Time is distance divided by speed . Hence,

[tex]\text{time} = \frac{3600 \, \text{miles}}{33.55 \, \text{mph}} \approx 107.3 \, \text{hours}[/tex]

Since there are 24 hours in a day, the time in days is [tex]\frac{107.3 \, \text{hours}}{24} \approx 4.47 \, \text{days}[/tex]

Therefore, it would take approximately [tex]4.47[/tex]days for the team of drivers to drive a truck from California to Lansing and back.

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The correct option would be C. light.

All the rest are talking about darkness whilst this one is the opposite.

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Final answer:

The word 'light' does not fit with 'darkness', 'absence of light', and 'night', as it represents illumination, while the other terms are associated with the absence of light.

Explanation:

Among the listed options, C) light does not fit with the others. The words 'darkness', 'absence of light', and 'night' all relate to scenarios with limited or no light, whereas 'light' itself represents the presence of illumination. Common associations with darkness include the concept of dark energy being a form of energy that is invisible, and dark matter referring to matter in the universe that does not emit light or radiation, hence is not directly observable.

In literature, darkness often symbolizes the unknown, fear, or the presence of evil, while light typically symbolizes clarity, purity, and goodness. The poetic excerpt mentioning the transformation of 'Darkness become a light-possessing darkness' metaphorically depicts the emergence of light from within the darkness, highlighting the powerful connotations of light in literature.

Answer:

2 protons, 2 electrons and 1 neutron

Explanation:

Answer:

52 mm/s (approximately)

Explanation:

Given:

Initial speed of the projectile is, [tex]u=60.0\ mm/s[/tex]

Angle of projection is, [tex]\theta=30.0\°[/tex]

Time taken to land on the hill is, [tex]t=4\ s[/tex]

In a projectile motion, there is acceleration only in the vertical direction which is equal to acceleration due to gravity acting vertically downward. There is no acceleration in the horizontal direction.

So, the velocity in the horizontal direction always remains the same.

The horizontal component of initial velocity is given as:

[tex]u_x=u\cos\theta\\u_x=60\times \cos(30)\\u_x=30\sqrt3\approx52\ mm/s[/tex]

Now, the velocity in the vertical direction goes on decreasing and becomes 0 at the highest point of the trajectory. So, at the highest point, only horizontal component acts.

Therefore, the projectile's velocity at the highest point of its trajectory is equal to the horizontal component of initial velocity and thus is equal to 52 mm/s.

Answer:

(1) Initial speed, [tex]u=0[/tex]

    Final speed, [tex]v=165.76m/s[/tex]

    Average speed, [tex]v_a_v_g=82.87m/s[/tex]

(2) Force of gravity, [tex]F_g=12.8\times10^1^5N[/tex]

Explanation:

(1)

Given,

Distance, [tex]S=300meter[/tex]

Time, [tex]t=3.62second[/tex]

It is given that drag racer started at rest.

So Initial speed, [tex]u=0[/tex]

Using Newton's second equation of motion,

[tex]S=ut+\frac{1}{2}at^2\\300=0+\frac{a\times3.62^2}{2} \\a=45.79m/s^2[/tex]

Newton's first equation of motion,

[tex]v=u+at\\=0+45.79\times3.62\\=165.76 m/s[/tex]

So, Final speed, [tex]v=165.76m/s[/tex]

Average speed is defined as totle distance divided by totle time.

[tex]v_a_v_g=\frac{S}{t}\\=\frac{300}{3.62} \\=82.87m/s[/tex]

So, Average speed, [tex]v_a_v_g=82.87m/s[/tex]

(2)

Gravitation: It is the natural phenomenon in which two different bodies attract each other by virtue of their masses.

       According to Newton's law of gravitation, the force of attraction between two bodies is directly proportional to the masses of the bodies and inversely proportional to square of distance between centers of mass of the bodies.

                         [tex]F_g\propto\frac{m_1m_2}{r^2} \\F_g=G\frac{m_1m_2}{r^2}[/tex]where [tex]G[/tex]is constant of proportionality and known as gravitation constant.

Given,

Mass of Jupiter, [tex]m_1=1.9\times10^2^7kg[/tex]

Mass of Ganymede, [tex]m_2=1.48\times10^2^3kg[/tex]

Distance between their centers of mass, [tex]r=1.21\times10^1^2meter[/tex]

[tex]F_g=G\frac{m_1m_2}{r^2}\\=\frac{6.67\times10^-^1^1\times1.9\times10^2^7\times1.48\times10^2^3}{(1.21\times10^1^2)^2} \\=12.8\times10^1^5N[/tex]

So, Force of gravity, [tex]F_g=12.8\times10^1^5N[/tex]

Answer:

D

Explanation:

wave reflection I think is preferable

Answer: Option B

Explanation: The peak of a wave can be called the "positive" part of the wave, and the trough part of a wave can be called the "negative" part of a wave.

So if these two parts of the wave interfere with each other, they cancel each other (because one is "positive" and the other "negative")

This effect is called Destructive Interference (in the case where two peaks or two troughs interfere, the phenomenon is called constructive interference)

Then the correct option is B

Answer:

we have formula of frequency :

frequency(f)= speed of sound(c)/wavelength(λ)

for wavelength we swipe it with frequency as follows

λ=c/f

λ=300,000,000/101,700,000

λ=2.949

Answer:

It takes  [tex] 2.43\times 10^2[/tex]  for the radio signal to travel from earth to the spaceship.

Explanation:

Given:

The frequency of the radio signal =  [tex]2.00 \times 10^6[/tex] hertz

Distance =[tex]7.30\times 10^10[/tex] meters

To Find:

The time taken for the radio signal to travel from the earth to the spaceship= ?

Solution:

we know that the time taken can be found by dividing the distance travelled by the speed at which the signal travels

So

[tex]Time = \frac{Distance}{Speed}[/tex]

Here the speed of the radio signal is equal the the speed of light

Now substituting the values,

Time taken is

=>[tex]Time = \frac{7.30\times 10^10}{3 \times 10^8}[/tex]

=>[tex]Time = 2.43\times 10^{10-8}[/tex]

=>[tex]Time = 2.43\times 10^2[/tex]

The time taken for the 2×10⁶ Hz radio signal to get to the spaceship from Earth is 243.33 s

Speed is the distance travelled per unit. Mathematically, it can be expressed as:

Speed = distance / time

speed = distance / time

3×10⁸ = 7.3×10¹⁰ / time

Cross multiply

3×10⁸ × time = 7.3×10¹⁰

Divide both sides by 3×10⁸

Time = 7.3×10¹⁰ / 3×10⁸

Time = 243.33 s

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Catalyst

To answer the following question we need to ask ourselves the following questions;

What is a catalyst?

How does it perform its function?

Do catalysts undergo any change after the reaction?

The internal energy produced during this process is 450 J.

Answer: Option C

Explanation:

We know, that work done to perform a displacement will be equal to the change in the kinetic energy as per work energy theorem. Also the work done on that object can be determined by the product of force with displacement.

As the force here is applied in horizontal direction with magnitude of 25N. And with this force, the box got displaced by 30 m.  So,

       [tex]\text { Workdone }=\text { Force } \times \text { Displacement }=25 \times 30=750 \mathrm{J}[/tex]

But, according to work energy theorem, the workdone should be equaled to the variation in kinetic energy. While here, the kinetic energy has been found to change as 300 J in positive side.

So, the variation in kinetic energy is not matching with the work done to displace the box. Hence, it can be concluded that the difference in work done and modified kinetic energy will be giving the total internal energy of the box. Thus,

       [tex]Total internal energy of the box = Work done - Kinetic energy =750-300=450 \mathrm{J}[/tex]

Answer:

it is potential energy

Explanation:

There is no movement taking place, so it can't be kinetic. There are no chemical reactions, so it isn't chemical energy, and gravity does not take part in the stretching of a rubber band. The stretched spring or rubber band has lots of energy ready to go at any point, but it is not being used at the moment, so it is potential energy.

Answer:

The third piece moves at 6.36 m/s at an angle of 65° below the horizon

Explanation:

Linear Momentum

It's a physical magnitude that measures the product of the velocity by the mass of a moving object. In a system where no external forces are acting, the total momentum remains unchanged regardless of the interactions between the objects in the system.

If the velocity of an object of mass m is [tex]\vec v[/tex], the linear momentum is computed by

[tex]\displaystyle \vec{P}=m.\vec{v}[/tex]

a)

The momentum of the board before the explosion is

[tex]\displaystyle \vec{P}_{t1}=m_t\ \vec{v}_o[/tex]

Since the board was initially at rest

[tex]\displaystyle \vec{P}_{t1}=<0,0>[/tex]

After the explosion, 3 pieces are propelled in different directions and velocities, and the total momentum is

[tex]\displaystyle \vec{P}_{t2}=m_1\ \vec{v}_1\ +\ m_2\ \vec{v}_2+m_3\ \vec{v}_3[/tex]

The first piece of 2 kg moves at 10 m/s in a 60° direction

[tex]\displaystyle \vec{v}_1=(10\ m/s,60^o)[/tex]

We find the components of that velocity

[tex]\displaystyle \vec{v}_1=<10\ cos60^o,10\ sin60^o>[/tex]

[tex]\displaystyle \vec{v}_1=<5,5\sqrt{3}>m/s[/tex]

The second piece of 1.2 kg goes at 15 m/s in a 180° direction

[tex]\displaystyle \vec{v}_2=(15,180^o)[/tex]

Its components are computed

[tex]\displaystyle \vec{v}_2=(15\ cos180^o,15\ sin180^o)[/tex]

[tex]\displaystyle \vec{v}_2=(-15,0)\ m/s[/tex]

The total momentum becomes

[tex]\displaystyle P_{t2}=2<5,5\sqrt{3}>+1.2<-15,0>+m_3\ \vec{v}_3[/tex]

Operating

[tex]\displaystyle P_{t2}=<10,10\sqrt{3}>+<-18,0>+m_3\ \vec{v}_3[/tex]

Knowing the total momentum equals the initial momentum

[tex]\displaystyle P_{t2}=<-8,10\sqrt{3}>+m_3\ \vec{v}_3=0[/tex]

Rearranging

[tex]\displaystyle m_3\ \vec{v}_3=<8,-10\sqrt{3}>[/tex]

Calculating

[tex]\displaystyle m_3\ \vec{v}_3=<8,-17.32>[/tex]

This is the momentum of the third piece

b)

From the above equation, we solve for [tex]\vec v_3[/tex]:

[tex]\displaystyle \vec{v}_3=\frac{1}{3}<8,-17.32>[/tex]

[tex]\displaystyle \vec{v}_3=<2.67,-5.77>m/s[/tex]

The magnitude of the velocity is

[tex]\displaystyle \vec{v}_3|=\sqrt{2.67^2+(-5.77)^2}=6.36[/tex]

And the angle is

[tex]\displaystyle tan\theta =\frac{-5.77}{2.67}=-2.161[/tex]

[tex]\displaystyle \theta =-65.17^o[/tex]

The third piece moves at 6.36 m/s at an angle of 65° below the horizon

Eustress can act as a positive force that helps reach one's goals by fostering optimal performance and well-being. It is different from distress, which has negative effects on health and productivity.

The option that can help reach your goals is A) eustress. Eustress is a type of stress that acts as a positive, motivating force. It is associated with feelings of optimism, optimal health, and peak performance levels. When managed well, this kind of stress can enhance well-being and productivity, as is the case with athletes experiencing pregame stress or students experiencing stress before a major exam that may lead to improved memory recall. Contrarily, too much stress, known as distress, can have the opposite effect, highlighting the importance of maintaining stress at an optimal level for positive outcomes.

According to the kinetic molecular theory, the pressure of a gas in a container will increase if the number of collisions with the container wall increases.

Explanation:

Keeping the volume of the vessel constant, if we increase the amount of gas in it; the pressure will increase. This is because when the number of gas particles increases in that limited volume, they hit the walls of the container with more energy and hence, the overall pressure of the gas increases.

If we decrease the amount of gas in the vessel or increase the volume for the same amount of gas, the pressure decreases. As the pressure inside the vessel depends upon the gas supplied in the container.

Final answer:

The angular velocity is 0.02667 radians/second, the linear velocity is 0.004 m/s, and the periodic time is approximately 235.62 seconds.

This question involves circular motion. We will apply the concepts of circular motion to analyse each part of the question.

a. Angular Velocity

To find the angular velocity (ω), we start by calculating the angle (θ) in radians.

Since 1 complete circle is 2π radians:

θ = s / r = 4 cm / 15 cm = 4 / 15 radians

Given the time (t) is 10 seconds:

ω = θ / t = (4 / 15) / 10 = 4 / 150 radians/second = 0.02667 radians/second

b. Linear Velocity

The linear velocity (v) is related to the angular velocity by:

v = ω r

Here, r = 15 cm = 0.15 m:

v = 0.02667 rad/s × 0.15 m = 0.004 m/s

c. Periodic Time

The periodic time (T) is the time it takes for one complete revolution.

First, we find the circumference (C) of the circle:

C = 2πr = 2π × 0.15 m = 0.3π m

We already know the linear velocity (v):

T = C / v = 0.3π / 0.004 = 75π s ≈ 235.62 seconds

Answer:

B. 68.6m

Explanation:

Free Fall Motion

When a body is left to move in the air with no friction, the motion is ruled only by the force of gravity. The vertical distance a body travels in the air after a time t is .

[tex]\displaystyle y=\frac{gt^2}{2}[/tex]

We know the egg takes 3.74 seconds to reach the ground. The height it was launched from is

[tex]\displaystyle y=\frac{(9.8)(3.474)^2}{2}[/tex]

[tex]\displaystyle y=68.54\ m[/tex]

The closest correct option is

B. 68.6m

-- H₂O is a single molecule of water.  It's made of two Hydrogen atoms and one Oxygen atom.

-- 2 H₂O is two molecules of water.  Between them, they have a total of four Hydrogen atoms and two Oxygen atoms. (C)

The number of hydrogen atoms in 2H₂O  is 4 atoms.

The compound is water . And the water can be interpreted as 2 molecules of water.

H₂O → Water

2H₂O →  2 molecules of water.

The number of hydrogen atoms in 2 molecules of water is the individual number of hydrogen atoms in the compound.

Therefore, the number of hydrogen atom in the compounds is as follows:

2H₂O → 2 × 2 = 4 atoms of hydrogen.

The number of hydrogen atom is 4.

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Answer:

(a) 20.0 Ns

(b) 14.9°

(c) 0.776 m/s

Explanation:

Let's say the astronaut's original velocity is in the x direction.  The impulse from rockets is at a right angle to this, or in the y direction.

(a) Impulse is force times time.

J = (100.0 N) (0.200 s)

J = 20.0 Ns

(b) Impulse is change in momentum.

J = mΔv

20.0 Ns = (100 kg) (vᵧ − 0 m/s)

vᵧ = 0.200 m/s

The angle of the new total velocity, relative to the x direction, is:

θ = atan(vᵧ / vₓ)

θ = atan(0.200 m/s / 0.750 m/s)

θ = 14.9°

(c) The magnitude of the new total velocity is:

v² = vₓ² + vᵧ²

v² = (0.750 m/s)² + (0.200 m/s)²

v = 0.776 m/s

To determine the speed at which the astronaut moves towards the space station after tossing a bag of tools, calculate the initial and final momenta of the system and apply the conservation of momentum principle.

An astronaut is detached from the space station during a spacewalk. To return, she tosses a 12 kg bag of tools away from the station at 5 m/s. Given that her total mass including the suit and equipment is 120 kg, we can calculate the speed at which she will move towards the station.

First, calculate the initial momentum of the system before the tools are tossed. Then, apply the principle of conservation of momentum to find the final velocity of the astronaut. This final velocity will represent the speed at which she moves towards the space station.

The process involves setting the initial momentum (before the toss) equal to the final momentum (after the toss) and solving for the final velocity.