When comparing mass and size data for the planets Earth and Jupiter, it is observed that Jupiter is about 300 times more massive than Earth. One might quickly conclude that an object on the surface of Jupiter would weigh 300 times more than on the surface of the Earth. For instance, one might expect a person who weighs 500 N on Earth would weigh 150000 N on the surface of Jupiter. Yet this is not the case. In fact, a 500 N person on Earth weighs about 1500 N on the surface of Jupiter. Explain how this can be.

Answers

Answer 1

Answer:

This situation happens because radius of Jupiter is 10 times greater than radius of the Earth.

Explanation:

According to Newton's Law of Gravitation, weight is directly proportional to the mass of the planet ([tex]M[/tex]), measured in kilograms, and inversely proportional to the square of the radius of the planet ([tex]R[/tex]), measured in meters. That is:

[tex]W \propto \frac{M}{R^{2}}[/tex]

[tex]W = \frac{k\cdot M}{R^{2}}[/tex](1)

Where [tex]k[/tex] is proportionality constant, measured in Newton-square meters per kilogram.

Then, we eliminate the proportionality constant by constructing this relationship:

[tex]\frac{W_{J}}{W_{E}} = \left(\frac{M_{J}}{M_{E}}\right)\cdot \left(\frac{R_{E}}{R_{J}} \right)^{2}[/tex]

Where subindices J and E mean "Jupiter" and "Earth", respectively. If we know that [tex]\frac{M_{J}}{M_{E}} = 300[/tex], [tex]W_{E} = 500\,N[/tex]and [tex]W_{J} = 1500\,N[/tex], then the ratio of radii is:

[tex]\frac{R_{E}}{R_{J}} = \sqrt{\left(\frac{W_{J}}{W_{E}} \right)\cdot \left(\frac{M_{E}}{M_{J}} \right)}[/tex]

[tex]\frac{R_{E}}{R_{J}} = \sqrt{3\cdot \left(\frac{1}{300} \right)}[/tex]

[tex]\frac{R_{E}}{R_{J}} = \frac{1}{10}[/tex]

Therefore, this situation happens because radius of Jupiter is 10 times greater than radius of the Earth.


Related Questions

Force=mass x acceleration which of newtons laws does this best describe

Answers

Second law! Good luck
Second law

What he said

An induced charge is when charged particles can be attracted to neutral objects.
True or false?

Answers

Answer:

the answer is true Induction charging is a method used to charge an object without actually touching the object to any other charged object.

Explanation:

Where do coaster cars have the least amount of potential energy?

Answers

Answer:

Gravitational potential energy is greatest at the highest point of a roller coaster and least at the lowest point.

WILL MARK BRAINLIEST

How much heat is required to raise the temperature of 150 grams of water from 15
C to 20 C, give that the specific heat of water is 4.18 J/g/C?
- 7.18 J
- 125 J
- 179 J
- 3,140 J

Answers

Answer:

aww that's simple! its B can i get brainliest? i really need some points rn <3

Explanation:

Answer:

B

Explanation:

A box of weight 200N is placed on a ground of 20m square . Find the pressure
exerted by the box.​

Answers

Answer:

10 Pascal

Explanation:

[tex]pressure =\frac{force}{area}[/tex]

[tex]pressure= \frac{200}{20}[/tex]

pressure = 10 Pa

If you pluck a guitar string hard the sound waves it gives off will have __________ amplitudes.
small
large

Answers

Answer:

large

Explanation:

the harder you pluck the louder it gets

If you pluck the guitar string hard, the sound waves it gives off will have larger amplitudes

What will be the amplitudes of the waves?

We know that, for soundwaves, the amplitude is related to the intensity of the sound.

If you pluck the guitar string hard, you will notice that the intensity of the sound increases. So we can conclude that the amplitude of the soundwaves will be larger than if you plucked the guitar string softer.

Then the complete statement would be:

"The sound waves it gives off will have larger amplitudes."

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velocity is vector quantity but speed is scalor quantity . why ?​

Answers

speed speed scalar quantity is the rate of at which an object covers distance on the other hand velocity is a vector quantity it is direction aware.velocity is the rate at which the position changes.the average velocity is the displacement or position change Per time ratio.so velocity is a vector quantity but speed is a scalar quantity

What’s the meaning of Density

Answers

Answer:

d= m/v

density is mass per unit volume.

Density describes how tightly packed particles are so if something is more dense the particles are going to be packed closely together and if something is less dense they will be looser and not as tightly packed.

balance chemical equation NaNO3=>NaNO2+O2

Answers

what’s the question luv?

How does friction affect energy

Answers

Answer:

Friction is a resistive force to motion. When two bodies move against each other some of the kinetic energy is converted to heat energy due to friction. This reduces the total kinetic energy in the system.

Explanation:

What is the thermal energy of an object?


the total kinetic energy of its particles


the total potential energy of its particles


its total temperature


the total kinetic and potential energies of its particles

Answers

Answer:

The total kinetic and potential energies of its particles

The thermal energy of an object is the:

D. the total kinetic and potential energies of its particles

What is thermal energy?

Thermal energy is the sum of the kinetic and potential energy of all the particles in an object.

Examples are Exothermic chemical reactions, such as oxidation, which convert the potential energy of the materials into thermal kinetic energy, thus increasing the resulting temperature.

Thus, option D is correct.

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A 70 kg astronaut throws a 5 kg ball with a velocity of 20 m/s east. What is the velocity of the astronaut?

Answers

Answer:

[tex]V_a =1.4285m/s[/tex]

Explanation:

From the question we are told that

70 kg astronaut

5 kg ball

A velocity of 20 m/s east

Generally with Law of conservation of momentum in place for a body in space

initial and final momentum must be equal

Therefore

[tex]M_b*V_b=M_a*V_a[/tex]

[tex]M_b=Mass of ball \\V_b=Ball velocity \\M_a= Mass of astronaut \\V_a= Astronaut velocity[/tex]

Mathematically solving for[tex]V_a[/tex]

[tex]V_a =\frac{5*20}{70}[/tex]

[tex]V_a =1.4285m/s[/tex]

Therefore the Astronauts velocity relative to his mass is given to be

[tex]V_a =1.4285m/s[/tex]

The velocity of the astronaut is 1.43 m/s.

From Newton's third law of motion,

To get the velocity of the astronaut, we use the formula below.

Formula:

MV = mv.................... Equation 1

Where:

M = mass of the astronautV = Velocity of the astronautm = mass of the ballv = velocity of the ball.

make V the subject of the equation

V = mv/M................. Equation 2

From the question,

Given:

m = 5 kgv = 20 m/sM = 70 kg

Substitute these values into equation 2.

V = 5(20)/70V = 1.43 m/s.

Hence, the velocity of the astronaut is 1.43 m/s.

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A 115 kg anvil is 85.0 m above the Coyote. How much gravitational
potential energy does it have?

Answers

Answer:

[tex]\boxed {\boxed {\sf 95,795 \ Joules}}[/tex]

Explanation:

Gravitational potential energy is found using the following formula.

[tex]E_p=m*g*h[/tex]

where m is the mass, g is the gravitational acceleration, and h is the height.

1. Define Variables

We know the anvil's mass is 115 kilograms and it's 85.0 meters above the coyote. Assuming this is on Earth, the acceleration due to gravity is 9.8 m/s²

[tex]m=115 \ kg \\h= 85.0 \ m \\g= 9.8 \ m.s^2[/tex]

2. Calculate Potential Energy

Substitute the values into the formula.

[tex]E_p=(115 \ kg)*(9.8 \ m/s^2)*(85.0 \ m)[/tex]

Multiply the first two numbers together.

[tex]E_p=1127 \ kg*m/s^2*(85.0 \ m)[/tex]

Multiply again.

[tex]E_p=95795 \ kg*m^2/s^2[/tex]

1 kilogram square meter per square second is equal to Joule. Therefore, our answer of 95795 kg*m²/s² is equal to 95795 J

[tex]E_p=95795 \ J[/tex]

The anvil has 95,795 Joules of gravitational potential energy.

Carmen is helping load furniture and boxes onto a moving truck. She picks up boxes of her things, places them on a cart, and pushes the cart to the moving van. Which term best describes the type of force Carmen is using? * contact speed gravity noncontact

Answers

Answer:

contact

Explanation:

A contact force is defined as a force which requires some contact to occur. When we apply force that is in contact with the objects are called as contact forces.

In the context, Carmen is loading furniture and boxes on a moving van by picking up by picking up the boxes or furniture on a cart and pushing it onto the van. Carmen uses contact forces to lift the boxes and furniture onto the van.

A ball is gently dropped from a height of 20 m. If its velocity increases uniformly at the rate of 10m s -2 , with what velocity will it strike the ground? After what time will it strike the Ground?

Answers

Height,h= 20m

"gently dropped" means initial velocity, u, =0m/s

Uniform acceleration, g=10m/s²

using the formula v²=u²+2gs

Substituting, v²=0²+2*10*20

v²=400

v=

[tex] \sqrt{400} [/tex]

v=20m/s

Time, t at which is strike the ground

using the formula v=u+at

Substituting, 20=0+10t

20=10t

t=2s

This means that the bank strike the ground with a velocity of 20m/s in 2s.

Sound waves are:
O Longitudinal Waves
O Transverse Waves

Answers

Sound waves are Longitudinal Waves


A football player kicks a ball with a mass of .55 kg. The average acceleration of the football was 14.9 m/s2. How much force did the kicker supply to the football?

A. 35.24 N

B. 8.2 N

C. 35.24 m/s^2

D. 8.2 m/s^2

Answers

Answer:8.2N

Explanation:I did the quiz on k12 and that’s the answer i got :)

Medium is water. The wavelength is 4.75 m and the frequency is 600 Hz. Calculate the speed of the wave.

Answers

Answer:

126.32m/s

Explanation:

The formula for calculating the speed of wave is expressed as:

Speed of wave = frequency/wavelength

Given

Wavelength = 4.75m

Frequency = 600Hz

Required

Speed of the wave

Substitute the given value into the formula

Speed = 600/4.75

Speed = 126.32m/s

Hence the speed of the wave is 126.32m/s

A person drops an egg onto a carpet, and the egg doesn't break. Then she drops the egg onto a tile floor and it breaks. Which floor most likely had a greater amount of force, and a shorter collision time?

Answers

Answer: The tile floor.

Explanation:

We can think of this as follows:

By the second Newton's law, we know that:

F = m*a

force is equal to mass times acceleration.

Now, as the egg hits the ground, we can think that there is a force that is applied in a very short period of time.

(similar to the case of a bat hitting a baseball)

Ok, the total energy of the impact will be the same for any surface in which the egg falls.

But suppose that the egg falls in a carpet, in this case, the carpet has a kinda large collision time (the time that the force is applied to the egg), this means that we will have a smaller force, acting for a long period of time. Now if the egg falls on something harder, like the tile floor, the collision time will be a lot shorter, then the force must be a lot stronger to compensate, this force is so large, that breaks the shell of the egg.

the tile floor is then the correct answer.

How much is the velocity of a body when it travels 600m in 5 minutes?( with the full process)​

Answers

Its average speed, pretending that it traveled at a constant speed, is

v = s / t

= 600 m

5 x 60 s

= 2 m/s

but to be a velocity it needs a direction as well as a speed.

( Sorry. Can’t find a division line to put between the 600 m and the 5 x 60 s )

Suppose that two objects attract each other with a gravitational force of 16 units. If the mass of both objects was doubled, and if the distance between the objects was doubled, then what would be the new force of attraction between the two objects?

Answers

Answer:

Distance, such that displacement over time is taken into account doesn't change regardless of the length in x meters or mass in kg So the force will remain constant given 16 units

The new force of attraction between the two objects will be remain the same.

What is the gravitational law?

The gravitational law states that the gravitation force is the ratio of the product of the masses and the square of the distance between them.

Let the masses be m and M and the distance between them is r. Then the force is given as,

F = GmM / r²

Suppose that two objects attract each other with a gravitational force of 16 units.

F = 16

GmM / r² = 16 units

If the mass of both objects was doubled, and if the distance between the objects was doubled. Then we have

F' = G(2m)*(2M) / (2r)²

F' = 4GmM / 4r²

F' = GmM / r²

F' = 16 units

The new force of attraction between the two objects will be remain the same.

Learn more about gravitational law:

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Real world System of equations

Answers

WhG exactly are you asking question mark

What energy transformation occurs when a coil of wire moves past a magnet? plz help :(

kinetic --> electric
electric --> kinetic
magnetic --> electric
kinetic --> potential

Answers

Answer:

kinetic energy to electrical energy.

A student claims that any object in motion must experience a force that keeps it in motion. Do you agree or disagree?Explain your reasoning.

Answers

I agree with the statement “ an object in motion must experience a force that keeps it in motion”

Answer:

i disagree because if you throw a ball in the air gravity will bring it down so only the force that moved it was needed.

Explanation:

- A 9,300 kg. railroad car traveling at a velocity of 15m/s strikes a second boxcar
at rest. If the two cars stick together and move off with a velocity of 6m/s, what is the mass
of the second car?

Answers

Answer:

13950kg

Explanation:

If we make the system both railroad cars, we know that the momentum of the whole system doesn't change because the forces are internal.

Let a be the mass of the second car.

The original momentum is 9300*15 kg*m/s+ a*0 kg*m/s = 139500 kg*m/s

After sticking together, the momentum is (9300+a)kg*6m/s, which should be equal to 139500 kg*m/s

Therefore (9300+a)*6 = 139500

9300+a = 23250

a = 13950 kg

An ice skater initially skating at a velocity of 3 m/s speeds up to a velocity of 5 m/s. The momentum
of the skater
A Remains the same
B Increases
C Becomes zero
D Decreases

Answers

Answer:

B. Increases

Explanation:

Momentum is given as [tex]p=mv[/tex]. Since [tex]m[/tex] is maintained, as the velocity decreases, the momentum decreases, and similarly, as the velocity increases, the momentum increases.

Will someone please look at my other questions

Answers

Answer:

eeeeeeeeeeeeeeeeeeeeeeeeeeeee

Explanation:

the ... in an atom move about in the space surrounding the nucleus

what is the missing word- ...

Answers

electrons

the in an atom move about in the space surrounding the nucleus

Drag the tiles to the correct boxes to complete the pairs. Match each expression to its simplified form.

Answers

Answer:

3a^5 - (-a^5) = 3a^5 + a^5 = 4a^5

6a^7 - 2a^7 = 4a^7

-3a^5 - (-2a^5) = -3a^5 + 2a^5 = -a^5

7a^7 - 8a^7 = -a^7

Answer:

here ya go

Explanation:

What is the change in momentum of a 50. kg
woman goes from running at 8.0 m/s to 0.0
m/s?

Answers

Answer:

400 kg-m/s

Explanation:

Given that,

Mass of the woman, m = 50 kg

Initial velocity, u = 8 m/s

Final velocity, v = 0 m/s

We need to find the change in momentum of the woman. It can be given by :

[tex]\Delta p=m(v-u)\\\\=50\times (8-0)\\\\=400\ kg-m/s[/tex]

So, the change in momentum is 400 kg-m/s.

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