A satellite of mass 6000 kg orbits the earth and has a period of 5700 s. determine the radius of its circular orbit.

Answers

Answer 1
1) The gravitational force F between the earth and the satellite is given by:

F = GMm / R²

where
G is the universal gravitational constant { = 6.67 x 10^-11 Nm²/kg² } ;
M is the mass of the Earth { = 5.97 x 10^24 kg } ;
m is the mass of the orbiting satellite ;
R is the distance between their centres of mass.

Force F provides the centripetal force needed to keep the satellite in a circular orbit.

Centripetal force = mω²R
where ω is the angular velocity. So we can write:

GMm / R² = mω²R

{m cancels out. Divide both sides by ω² and multiply by R² }

GM / ω² = R³

We are given that the satellite completes one orbit (= 2π radians) in 5700 seconds. So:

ω = (2π / 5700) = 1.10 x 10^-3 rad/s

R³ = (6.67 x 10^-11 * 5.97 x 10^24 / (1.10 x 10^-3 )² ) = 3.28 x 10^20

R = 6.89 x 10^6 m


2) Gravitational force = GMm / R²

= 6.67 x 10^-11 * 5.97 x 10^24 * 6000 / (6.89 x 10^6)²

= 5.03 x 10^4 newtons

3) Altitude = radius of orbit - radius of Earth
= 6.89 x 10^6 - 6.37 x 10^6

= 5.2 x 10^5 m
Answer 2

The radius of the satellite's circular orbit is approximately 11,350,000 meters or 11,350 kilometers.

Given,

Mass of satellite = 6000 kg

Revolution time = 5700s

To determine the radius of the circular orbit of a satellite orbiting the Earth, the following equation based on the laws of circular motion can be used:

[tex]r = (\frac{G \times M \times T^2}{4\pi^2})^{(1/3)}[/tex]

Where:

r is the radius of the orbit

G is the gravitational constant (approximately 6.67430 × 10⁻¹¹m³ kg⁻¹ s⁻²)

M is the mass of the Earth (approximately 5.972 × 10²⁴ kg)

T is the period of the orbit

Substituting these values into the equation:

[tex]r = (\frac{G \times M \times T^2}{4\pi^2})^{(1/3)}[/tex]

[tex]r = \frac{6.67430 \times 10^{-11} \times 5.972 \times 10^{24} \times (5700)^2}{(4\pi^2)^{(1/3)}}[/tex]

r = 1.135 × 10⁷ meters

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Related Questions

Find the emitted power per square meter of peak intensity for a 2600 k object that emits thermal radiation.

Answers

Hotter Sun: Suppose the surface temperature of the Sun were about 12,000K, rather than 6000K. a. How much more thermal radiation would the Sun emit? b. What would happen to the Sun’s wavelength of peak emission? c. Do you think it would still be possible to have life on Earth? Explain. Answer: a) To calculate the emitted power per square meter we need to use Stefan-Boltzmann’s Law, that is, 𝸠= 𝜍𝑇 4 đť‘Šđť‘•đť‘’đť‘źđť‘’, 𝸠= đť¸đť‘šđť‘–𝑡𝑡𝑒𝑑 đť‘𝑜𝑤𝑒𝑟 đť‘ťđť‘’đť‘ź 𝑠𝑞𝑎𝑢𝑟𝑒 𝑚𝑒𝑡𝑒𝑟 đť‘śđť‘“ 𝑠𝑢𝑟𝑓𝑎đť‘đť‘’ 𝑇 = 𝑡𝑒𝑚𝑝𝑒𝑟𝑎𝑡𝑢𝑟𝑒 đť‘–đť‘› đťľđť‘’𝑙𝑣𝑖𝑛 𝑎𝑛𝑑 𝜍 = 𝑆𝑡𝑒𝑓𝑎𝑛 â’ đťµđť‘śđť‘™đť‘ˇđť‘§đť‘šđť‘Žđť‘›đť‘› đť¶đť‘śđť‘›đť‘ 𝑡𝑎𝑛𝑡 = 5.7 Ă— 10â’8 𝑤𝑎𝑡𝑡 đť‘š2 Ă— đťľ4 At 6000K, Emitted Power = 𝜍 Ă— (6,000) 4 At 12000K, Emitted Power = 𝜍 Ă— (12,000) 4 Now calculate the ratio of thermal radiation at the two temperatures to find out how much more thermal radiation would the Sun emit, đť¸12000𝾠𝸠6000đťľ = 𝜍 Ă— (12,000) 4 𝜍 Ă— (6,000) 4 = 12,000 4 6,000 4 = 12,000 6,000 4 = 2 4 = 16 â´ đť¸12000𝾠𝸠6000đťľ = 16 Therefore, emitted power at 12000K is 16 times the emitted power at 60000K. b) To calculate the wavelength of maximum intensity we need to use Wien’s Law, that is, 𝜆𝑚𝑎𝑥 = đť‘Ź 𝑇 đť‘Šđť‘•đť‘’đť‘źđť‘’, 𝜆𝑚𝑎𝑥 = 𝑤𝑎𝑣𝑒𝑙𝑒𝑛𝑔𝑡𝑕 đť‘śđť‘“ 𝑚𝑎𝑥𝑖𝑚𝑢𝑚 𝑖𝑛𝑡𝑒𝑛𝑠𝑖𝑡𝑦 đť‘Ź = đť‘Šđť‘–đť‘’đť‘› ′ đť‘ đť‘𝑜𝑛𝑠𝑡𝑎𝑛𝑡 = 2,900,000 𝑛𝑚.𝾠𝑇 = 𝑡𝑒𝑚𝑝𝑒𝑟𝑎𝑡𝑢𝑟𝑒 đť‘–đť‘› đťľđť‘’𝑙𝑣𝑖𝑛 𝜆𝑚𝑎𝑥 = 2,900,000 𝑇 = 2,900,000 6,000 đť‘śđť‘ź 483.33 𝑛𝑚 𝜆𝑚𝑎𝑥 = 2,900,000 𝑇 = 2,900,000 12,000 đť‘śđť‘ź 241.67 𝑛𝑚 𝑅𝑎𝑡𝑖𝑜 = 𝜆max 𝑎𝑡 12,000𝾠𝜆max 𝑎𝑡 6,000đťľ = 2,900,000 12,000 Ă— 6,000 2,900,000 ⴠ𝜆max 𝑎𝑡 12,000𝾠𝜆max 𝑎𝑡 6,000đťľ = 1 2 Therefore, wavelength of maximum intensity at 12,000K is half the wavelength of maximum intensity at 6,000K. c) We know that the intensity of light emitted by a given object depends on its wavelength or frequency. Here, the wavelength at 12,000K is reduced by half which means its frequency has increased by half. In the EM spectrum, UV rays have shorter wavelengths. Therefore, at this temperature, the Sun would emit copious ultraviolet light which cannot be suitable for supporting life. Chapter 5: #52 Doppler Calculations II. In hydrogen, the transition from level 2 to level 1 has a rest wavelength of 121.6 nm. Suppose you see this line at wavelength ay 121.9 nm in Star C and at 122.9 nm in Star D. Calculate each star’s speed, and be sure to state whether it is moving toward or away from us.

Final answer:

To calculate the emitted power per square meter for an object at 2600 K, we use the Stefan-Boltzmann law with a value of 5.67 × 10^-8 W/m^2/K^4 for the Stefan-Boltzmann constant. The result for the given object is approximately 1.53 × 10^7 W/m^2.

Explanation:

Finding the Emitted Power Per Square Meter for a Blackbody

To find the emitted power per square meter (intensity) of peak intensity for an object with a temperature of 2600 K, we will use the Stefan-Boltzmann law, which expresses the power radiated per unit area from a blackbody in terms of the Stefan-Boltzmann constant (σ) and the absolute temperature (T) to the fourth power. The Stefan-Boltzmann law can be written as:

dP/dA = σ T^4,

where σ (Stefan-Boltzmann constant) is approximately 5.67 × 10^-8 W/m^2/K^4. We can calculate the power per square meter by plugging the given temperature into this equation:

dP/dA = (5.67 × 10^-8 W/m^2/K^4) × (2600 K)^4,

After calculating, we find that the power emitted per square meter at peak intensity is:

dP/dA = about 1.53 × 10^7 W/m^2.

Therefore, an object at 2600 K emits approximately 1.53 × 10^7 watts per square meter.

A runner achieves a velocity of 11.1m/s nine seconds after he begins running. What is his acceleration?

Answers

Using this kinematics formula: Vf=vi+at, we get: 11.1=0+a*9, solving for a we get 1.233 m/s^2. That's his acceleration.

Even though the Sun has a greater mass than Earth, the Moon orbits Earth because it's ___________________ to Earth than to the Sun.

Answers

Even though the Sun has a greater mass than Earth, the Moon orbits Earth because it's closer to the Earth than to the Sun. Because of this proximity between the Earth and the Moon, the Earth has a stronger gravitational pull than the Sun does. Furthermore, the Earth's mass is 81 times that of the Moon, and so at this proximity, it is more than able to overpower what pull the Sun exerts on the Moon.

Final answer:

The Moon orbits Earth instead of the Sun because it is closer to Earth. The strength of gravitational attraction is greater with proximity, despite the Sun's larger mass. The close distance to Earth thus ensures the Moon's stable orbit around it.

Explanation:

Even though the Sun has a greater mass than Earth, the Moon orbits Earth because it's closer to Earth than to the Sun. The gravitational force that an object experiences from another object is not just dependent on the mass but also on the distance between the two objects. In the Earth-Moon system, despite the Moon and the Sun both exerting gravitational forces on each other, the Moon remains in orbit around the Earth because it is much closer to Earth than it is to the Sun.

While the Sun is 27 million times more massive than the Moon, its gravitational pull on the Moon is lesser because it is 387 times farther away from the Earth than the Moon is. The gravitational force decreases with the square of the distance, which means that even a massive object like the Sun exerts a weaker force on the Moon compared to Earth, which is much closer.

Therefore, the Moon's orbit around Earth is stable because the Earth's gravitational pull on the Moon is significantly stronger than that of the Sun's due to the close proximity of the Moon to Earth. In the context of gravitational interactions, this proximity is the key factor in the Moon being Earth's natural satellite.

Which statement is most nearly the same as Newton's third law?

A) If the net force acting on an object is zero, it does not accelerate.

B) When one object exerts a force on a second object, the first object exerts an equal force on itself in the opposite direction.

C) Acceleration of an object is proportional to net force divided by mass.

D) When you push on an object, it pushes back just as strongly on you.

Answers

the one that makes the most sense would be B

Answer:

Your answer would be D) When you push on an object, it pushes back just as strongly on you.

Explanation:

This was the only question I had gotten wrong on my test. I thought B would be it, but I can see where the mistake was. According to Britannica.com  "The third law is also known as the law of action and reaction". which would fit with D if you think about out.

Hope this helps and Good luck!

Which statement accurately describes radiation?

Radiation needs matter to transfer thermal energy.
Thermal energy is transferred by electromagnetic waves.
Ironing a shirt to take out wrinkles is an example of radiation.

Answers

I believe it is Thermal energy is transferred by electromagnetic waves.

Answer:

Option 2.) Thermal energy is transferred by electromagnetic waves.

Explanation:

just answered it on e2020

The process of estimating values between measured data points is called

Answers

the answer to this question is interpolation
Interpolation is often required in a certain research in order to estimate the value of a certain function for an intermediate value of the independent variable.in order to ensure the validity of the data and the results made during the experiment.

Answer:

The process of estimating values between measured data points is called. interpolation.

Explanation:

Under what conditions will the projectile have the greatest velocity when it hits the ground?

Answers

I'm going without any details here.
The projectile would have the greatest velocity if thrown from a high distance, it would also help depending on what the gravity was which on earth would help increase the velocity since it's strong and pull more on it increasing weight but not mass.

When an object is not in motion, it can still have a form of energy. What form of energy does an object have due to its distance from Earth?
a. kinetic energy
b. thermal energy
c. gravitational potential energy
d. electrical potential energy

Answers

Answer is c, gravitational potential energy.

Answer:

c. gravitational potential energy

Explanation:

Gravitational potential energy is the form of energy possessed by an object which is located at a certain height above the ground. This energy is given by:

[tex]U=mgh[/tex]

where:

m is the mass of the object

g is the gravitational acceleration (g=9.8 m/s^2)

h is the height of the object with respect to the ground

We have to note that gravitational potential energy is always measured with respect to a reference altitude (generally, the ground), because the value of h depends on the point chosen as reference.

3. Ohm's law is represented by the equation, I = V/R. Explain how the current would change if the amount of resistance decreased and the voltage stayed the same.

Answers

In accordance with the law, if r became smaller, and V stayed the same, the current would increase. The increases would be inversely proportional to the resistance, if the resistance was halved, the current would double.

What is the distance from the earth and the sun? Please explain

Answers

The distance is 92.96 million miles. This is called an astronomical unit (AU), which is used to measure distance in the solar system.
Here is your answer:

Based on what scientists research the the Earth and the sun is
=148.56miles

Because of technology scientist were able to find the exact distance of the Earth and the Sun.

:))))

What must be your car’s average speed in order to travel 235km in 3.25 hours?

Answers

235/ 3.25 = 72km/hr

Answer: 72km/hr

When we make our memories consistent with our current beliefs or attitudes, we are experiencing?

Answers

selfishness.. I'm not sure honestly

Jacob is working on his physics portfolio and stands on a 0.45 m high step. If Jacob’s mass is 103 kg, what is his
potential energy while on top of the step?
Givens
Unkowns
Equation
Substitute
Solve
If you could help fill this in I will medal and give you brainliest answer, really struggling with this and could use a hand if you don't mind :)

Answers

[tex]e_ p = m \times g \times h \\ \\ = 103kg \times 9.81 \frac{m}{s { }^{2} } \times 0.45m[/tex]

A 30 g bullet moving a horizontal velocity of 500 m/s comes to a stop 12 cm within a solid wall. (a) what is the change in the bullet's mechanical energy? (b) what is the magnitude of the average force from the wall stopping it?

Answers

Final answer:

The change in mechanical energy of the bullet is 3750 J. The magnitude of the average force from the wall stopping it is 1250 N.

Explanation:

(a) The change in mechanical energy of the bullet can be calculated by finding the initial mechanical energy and subtracting the final mechanical energy. Mechanical energy is the sum of kinetic energy and potential energy. Since the bullet comes to a stop, its final kinetic energy is zero. Therefore, the change in mechanical energy is equal to the initial kinetic energy of the bullet. The initial kinetic energy can be calculated using the formula KE = 1/2mv^2, where m is the mass of the bullet (30 g = 0.03 kg) and v is the velocity of the bullet (500 m/s). Plugging in the values:

KE = 1/2(0.03 kg)(500 m/s)^2

KE = 1/2(0.03 kg)(250000 m^2/s^2)

KE = 3750 J

Therefore, the change in mechanical energy of the bullet is 3750 J.

(b) The magnitude of the average force exerted by the wall on the bullet can be calculated using the formula for impulse. Impulse is equal to the change in momentum, and momentum is equal to the product of mass and velocity. Therefore, the equation is:

Impulse = Change in momentum = Force * Time

Since the bullet comes to a stop, its initial momentum is equal to its final momentum, which is zero. Therefore, the impulse is equal to the initial momentum. The initial momentum can be calculated using the formula momentum = mv:

Momentum = (0.03 kg)(500 m/s) = 15 kg*m/s

Now, we can calculate the average force using the equation Impulse = Force * Time:

15 kg*m/s = Force * (12 cm / 100 m)

Force = (15 kg*m/s) / (12 cm / 100 m) = 1250 N

Therefore, the magnitude of the average force from the wall stopping the bullet is 1250 N.

The Black Hills of South Dakota is an example of an eroded _____.
laccolith dlke batholith sill

Answers

 batholith
 
i hope this is right, if not then correct me lol

The Black Hills of South Dakota is an example of an eroded "batholith".


Magma does not generally achieve the surface. In the event that gas weights are not sufficiently extraordinary to constrain the magma to the surface, or if overlying rocks can't be infiltrated by it, the magma may gradually cool and frame an extensive pool of stone. Stone is effortlessly unmistakable by its extensive gem structure and blend of minerals, including light-hued quartzes and darker feldspars and micas. An expansive district of intru-sive molten shake, found profound inside the outside, is known as a batholith. Batholiths can frame the center of a mountain run. This batholith, once framed profound inside Earth's outside layer, is presently uncovered at an elevation surpassing 3300 meters (10,000 ft) above ocean level. The Black Hills of South Dakota are another exemplary case of this sort of geologic development.

Lacie kicks a football from ground level at a velocity of 13.9 m/s and at an angle of 25.0° to the ground. You have determined that the football would travel 15.1 m before landing. How would this value change if the football was kicked at an angle of 35.0°?

Answers

Final answer:

When the angle of the kick is changed, the range or distance the football travels will also change. To determine the new range when the angle is changed to 35.0°, calculate the horizontal component of the velocity and find the time it takes for the football to reach the ground. Multiply the time by the horizontal velocity to get the new range.

Explanation:

When the football is kicked at a different angle, the range or distance it travels will change. In this case, the original angle of 25.0° resulted in a range of 15.1 m. If the angle is changed to 35.0°, the range will be different. To find the new range, you can use the same initial velocity of 13.9 m/s and apply the new angle of 35.0°. Calculate the horizontal component of the velocity by multiplying the initial velocity by the cosine of the angle. Then use this new horizontal velocity and the initial vertical velocity to calculate the time it takes for the football to reach the ground. Finally, multiply the time by the horizontal velocity to find the new range.

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A worker pushes horizontally on a 34 kg crate with a force of magnitude 110 n . the coefficient of static friction between the crate and the floor is 0.37. (a) what is the frictional force on the crate from the floor?

Answers

Static frictional force = 126.91 N 
1st worker force = 110 N 
2nd worker = 126.91 – 110 = 16.91 Nelectron1 · 7 years ago.

Which describes the image produced by the lens?
upright and real
inverted and real
smaller than the object and upright
smaller than the object and inverted

Answers

Converging only; diverging lenses can only produce upright imageswhich are reduced in size; an inverted and magnified image can be produced by a converging lens when the object is located between F and 2F. also know as t-6 over 6 the science oligical sign

hope this helped

The image produced by the lens (diverging lens) will be inverted and real.

Image produced by a converging lens

The following are characteristics of image formed when an object is placed in front of the focal point of a converging lens.

Image is magnifiedVirtual and UprightImage produced by a diverging lens

The images produced by a diverging lens when the object is outside the focal point are;

Real and inverted

Thus, we can conclude that based on the options given, the image produced by the lens (diverging lens) will be inverted and real.

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Oasis b is 25 km due east of oasis
a. starting from oasis a, a camel walks 24 km in a direction 19° south of east and then walks 4.0 km due north. how far is the camel then from oasis b?

Answers

Ax=24 cos(15)=23.1822Ax=24 cos(15)=23.1822 Ay=â’24 sin(15)=â’6.2117Ay=â’24 sin(15)=â’6.2117 and Bx=0Bx=0 By=8By=8 To find the distance b you want to find the vector that goes from A to 15 km E (vector C). Calling the differnce in A + B and C D, then we know [math]D = (A + B) - C. So we have for D: Dx=(Ax+Bx)â’Cx=â’1.8178Dx=(Ax+Bx)â’Cx=â’1.8178 Dy+(Ay+By)â’Cy=1.7883Dy+(Ay+By)â’Cy=1.7883 D=D2x+D2y‾‾‾‾‾‾‾‾âš=2.2567

Final answer:

To find how far the camel is from oasis B after walking 24 km at 19° south of east and then 4 km due north, we use vector components and the Pythagorean theorem.

Explanation:

The problem you're working on is a classic example of vector addition and applying principles of trigonometry to solve for the resultant displacement. The camel starts at oasis A, walks 24 km at a 19° angle south of east, and then walks 4.0 km due north. We're looking to find the distance the camel is from oasis B.

First, we break down the camel's walk into components. The eastward component of the first walk is 24 km × cos(19°), and the southward component is 24 km × sin(19°). After the camel walks 4 km due north, the total southward displacement would be reduced by 4 km. Given that oasis B is due east of oasis A, the eastward component is compared to the 25 km distance between the oases.

To find out how far the camel is from oasis B, we calculate the straight-line distance using the Pythagorean theorem: √((25 km - eastward component)² + (southward component - 4 km)²). Let's calculate these components and solve for the distance.

The eastward component is 24 km × cos(19°) and the reduced southward component is 24 km × sin(19°) - 4 km. Finally, calculate the distance from oasis B using the Pythagorean theorem with the adjusted components.

Oxygen is more reactive than nitrogen.

True
False

Answers

This is a True statement.

N2 is less reactive than O2 in most gaseous reactions because there is a strong triple bond between the atoms, all the valence electrons are in bonding orbitals, and more energy is needed to excite them.

Oxygen is more reactive than nitrogen. Because triple bond between two atoms of nitrogen and there is double bond between two atoms of oxygen.Therefore, this statement is true.

What do you mean by the reactivity ?

Reactivity is a substance's capacity to chemically react with other compounds. Iron, for instance, reacts vigorously with oxygen. Rust is a reddish powder that is created when it reacts with oxygen.

Because nitrogen has a higher dissociation energy than oxygen, its reactivity is lower than that of oxygen at the molecular level. Due to the triple bond that exists between the nitrogen atoms, the bond length of nitrogen is also shorter than that of oxygen.

Due to the strong triple bond between the atoms, the fact that all the valence electrons are in bonding orbitals, and the fact that more energy is required to excite them, Nitrogen is less reactive than Oxygen in the majority of gaseous processes.

Thus, Oxygen is more reactive than nitrogen.

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The summer season is closely linked to which of the following?
An equinox because the Earth is very close to the Sun
An equinox because the Earth is very far away from the Sun
A solstice because the Earth is very close to the Sun
A solstice because the Earth is very far away from the Sun

Answers

The summer season begins with a solstice and ends with an equinox, in both hemispheres.
Equinoxes and solstices have no connection to the Earth's distance from the sun.
In the northern hemisphere, the Earth is FARTHEST from the sun early in summer, around the first week of July.

Answer:

The correct statement is “A solstice because the Earth is very close to the Sun”

Explanation:

The solstice occurs when the sun is closer or further from one of the Earth's hemispheres, increasing the duration of the day in one part of the world, and decreasing its duration in the other. That is, during the solstice, the sun is closer to one of the hemispheres, causing the day to have a longer duration, while the night is longer in the other hemisphere.

In the case of the equinox, the sun is on the equator line, so the day and night in both hemispheres have the same duration. At that time the part of the Earth closest to the Sun is the equator.

The solstice is caused because the axis on which our planet rotates on itself is slightly inclined with respect to the translation plane, this is its trajectory around the Sun.

That implies that different regions of the globe receive more or less light at different times of the year.

The equinox like the solstice is presented twice a year, marking the entrance of the seasons. The sunny days are longer during the summer solstice, while the nights are longer during the winter solstice. The equinox occurs at the beginning of autumn and spring, when the sun is closer to the equator.

So the correct statement is “A solstice because the Earth is very close to the Sun”

Why are all tides greatest at the time of a full moon or new moon?

Answers

Great question. Tides are caused by tidal forces, and the answer to your question lies in the definition of a tidal force. A tidal force is related to gravity, but it isnt the same thing. Its really the difference between the strength of gravity at two locations.

A wave with a height of 5 feet and a wavelength of 10 feet has a wave base of?


A. 20ft
B. 10ft
C. 2.5ft
D. 5ft

Answers

D. 5ft

Explanation:

The wave base of a wave is the depth at which there is no more perturbation of the medium caused by the wave. The wave base of a wave is determined to be half the wavelength of the wave itself.

In this problem, we have a wave with wavelength of 10 ft, so the wave base is

[tex]b=\frac{\lambda}{2}=\frac{10 ft}{2}=5 ft[/tex]

How is active transport possible since it contradicts the second law of thermodynamics?

Answers

The second law of thermodynamics states that the total entropy of a system increases. The key thing to remember is "total entropy of a system". It's perfectly reasonable for the local entropy of part of a system to decrease as long as the total entropy of the entire system increases. In the case of active transport, energy is consumed in the form of ATP molecules.

the cells in your body get energy from the foods you eat. however, your cells must use energy to get this energy. why?

Answers

Because energy is required for several things in the whole digestive system, including secreting enzymes for chemical digestion of food, and also controlling the peristalsis of oesophagus, means the movement, and the physical digestion of food such as chewing or the churning in stomach
Through the process of cellular respiration, the energy in food is converted into energy that can be used by the body's cells. The mitochondrion is the main organ in the cell that uses energy. The chloroplast also uses energy, but it comes from the sun.

On his fishing trip Justin rides in a boat 12 km south The fish aren’t biting so they go 4 km west. They then follow a school of fish 1 km north. What distance did they cover? What was their displacement?

Answers

In finding the distance that covers we simply add the three km which is 
12 + 4 + 1 = 17km

17 km is the distance they cover.

We are going to use the displacement formula which is
d = vt + 1/2 at^2
d = 11.7 km

11.7 is the displacement

The distance is 17 km

The displacement of the boat is about 12 km at 70° S of W

[tex]\texttt{ }[/tex]

Further explanation

Vector is quantity that has magnitude and direction.

One example of a vector is displacement.

Let us now tackle the problem !

[tex]\texttt{ }[/tex]

This problem is about Vector Diagram.

On his fishing trip Justin rides in a boat 12 km south.

[tex]d_1 = -12 \widehat{j}[/tex]

[tex]\texttt{ }[/tex]

The fish aren’t biting so they go 4 km west.

[tex]d_2 = -4 \widehat{i}[/tex]

[tex]\texttt{ }[/tex]

They then follow a school of fish 1 km north.

[tex]d_3 = 1 \widehat{j}[/tex]

[tex]\texttt{ }[/tex]

[tex]\texttt{Total Distance} = 12 + 4 + 1 = 17 \texttt{ km}[/tex]

[tex]\texttt{ }[/tex]

[tex]d = d_1 + d_2 + d_3[/tex]

[tex]d = -12 \widehat{j} - 4 \widehat{i} + 1 \widehat{j}[/tex]

[tex]d = -4 \widehat{i} - 11 \widehat{j}[/tex]

[tex]\texttt{Total Displacement} = \sqrt{4^2 + 11^2} = \sqrt{137} \approx 12 \texttt{ km}[/tex]

[tex]\texttt{Direction of Displacement} = \theta = \tan^{-1} \frac{11}{4} \approx 70^o \texttt{ south of west}[/tex]

[tex]\texttt{ }[/tex]

Learn moreDirection of Displacement : https://brainly.ph/question/1746541Scalar and Vector : https://brainly.ph/question/274572Weight : https://brainly.ph/question/545327Orientation of Vectors : https://brainly.ph/question/2121753

[tex]\texttt{ }[/tex]

Answer details

Grade: High School

Subject: Physics

Chapter: Vectors

[tex]\texttt{ }[/tex]

Keywords: Local , Race , Driver , Road , Finish , Line , Displacement , Vector , Degree , North , West , South , Kilometres

Jesse is swinging Miguel in a circle at a tangential speed of 3.50 m/s. If the radius of the circle is 0.600 m and Miguel has a mass of 11.0 kg, what is the centripetal force on Miguel? Round to the nearest whole number.

Answers

225 N is the answer. Glad I could help

Answer:

Explanation:

When an object is moving around a circular path with a uniform speed the motion os said to be uniform cicular motion. It is the example of accelerated motion as the direction of motion keeps on changing every instant.

When a body is in uniform circular motion, it experiences a force towards the centre of circular path, this force is called centripetal force.

The formula of centripetal force is given by

F = mv^2 / r

Where m is the mass of body, V be the speed of body and R be the radius of circular path

F = 11 × 3.5 × 3.5 / 0.6

F = 224.58 N

An elevator has a weight of 14,700 N and has an acceleration of –0.30 m/s2. The free-body diagram shows the forces acting on the elevator.


To the nearest whole number, what is the force of tension, Ft, acting on the elevator?

450 N
1500 N
14,250 N
15,150 N

Answers

Final answer:

The force of tension acting on the elevator is calculated using Newton's second law of motion, considering the elevator's weight and its downward acceleration. After computations, the tension force is found to be approximately 15,150 N.

Explanation:

To determine the tension force (Ft) acting on the elevator, we can use Newton's second law of motion, which states that the force is equal to mass times acceleration (F = ma). First, we need to find the mass (m) of the elevator by using the weight (W) of the elevator and the acceleration due to gravity (g), which is approximately 9.81 m/s²:

m = W / g

Therefore, m = 14,700 N / 9.81 m/s² ≈ 1500 kg.

The net force acting on the elevator (Fnet) involves both its weight and the force of tension in the supporting cable, while considering the elevator's downward acceleration:

Fnet = Ft - W = ma

where 'a' is the acceleration of the elevator. Substituting the given values:

Fnet = Ft - 14,700 N = 1500 kg × (-0.30 m/s²)

Ft = 14,700 N + (1500 kg × 0.30 m/s²)

Calculating the terms:

Ft = 14,700 N + 450 N

Ft ≈ 15,150 N.

Therefore, to the nearest whole number, the force of tension acting on the elevator is 15,150 N.

which of these measurements has 3 significant digits? A)29.3CM B) 290CM C)0.0029CM D)290.CM

Answers

29.3 centimeters from the given list of the measurement would have the three significant digits.

Therefore the correct answer is option A.

What are significant figures?

In positional notation, significant figures refer to the digits in a number that is trustworthy and required to denote the amount of something, also known as the significant digits, precision, or resolution.

29.3 centimeters would have the three significant figures.

290 centimeters would have the two significant figures.

0.0029  centimeters would have the two significant figures.

290.0 centimeters would have the two significant figures.

Thus, the three significant digits of 29.3 centimeters from the provided list of the measurement would be the correct answer.

To learn more about significant figures here, refer to the link;

https://brainly.com/question/2515360

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Which type of environmental scientist is likely to study how different species of birds interact? a. Hydrologist b. Toxicologist c. Oceanographer d. Ecologist Please select the best answer from the choices provided A B C D

Answers

the correct answer is D. ecologist

Answer: d. Ecologists

Ecologist are scientists who studies the relationship between living things and their surrounding environment, also the relationship between distinct species, interaction among the members of the same species. They surveys the biodiversities, to know such relationships.

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