If the mass of the planet is 1.38 x 10^25 kg and its radius is 4.30 x 10^7 m

In summary, the conversation is about finding the force of gravity between a planet and an apple, given the mass of the planet, the radius of the planet, and the value of the gravitational constant, G. The formula F = Gm1m2/r^2 is used to calculate the force, and then it can be applied to the equation \sum{\vec{F}} = m\vec{a}. The person who was struggling with the question realized their mistake and thanked the other person for their help.
  • #1
vipson231
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If the mass of the planet is 1.38 x 10^25 kg and its radius is 4.30 x 10^7 m...

Homework Statement



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(all the formulas in the attachment too)

I don't know how to start this question Please help -[
 

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  • #2


I think that you are thinking about this too hard.

[itex]F_{gravity} = G\frac{m_{1}m_{2}}{r^{2}}[/itex]

You know G, which is a constant. You know the two masses (the planet and the apple). You know the radius of the planet. Find the force. Then, it's a simple question of [itex]\sum{\vec{F}} = m\vec{a}[/itex].
 
  • #3


Oh I think i overlooked the F=Gm1m2/r^2 formula and wasn't able to work with the other formulas that were provided. Thanks for the help! =))
 

FAQ: If the mass of the planet is 1.38 x 10^25 kg and its radius is 4.30 x 10^7 m

What is the density of the planet?

The density of the planet can be calculated by dividing its mass by its volume. The volume can be calculated using the formula V = (4/3)πr^3, where r is the radius of the planet. Therefore, the density of the planet is approximately 3.21 x 10^17 kg/m^3.

How does the mass of the planet affect its gravitational pull?

The mass of a planet is directly proportional to its gravitational pull. This means that the larger the mass of the planet, the stronger its gravitational pull will be. In this case, the planet's mass of 1.38 x 10^25 kg would result in a strong gravitational pull.

How does the radius of the planet affect its surface gravity?

The surface gravity of a planet is inversely proportional to the square of its radius. This means that the larger the radius of the planet, the weaker its surface gravity will be. In this case, the planet's radius of 4.30 x 10^7 m would result in a weaker surface gravity compared to a smaller planet with the same mass.

How does the mass and radius of the planet compare to Earth?

The planet's mass is approximately 1.5 times that of Earth, which has a mass of 5.97 x 10^24 kg. However, its radius is much larger than Earth's, which has a radius of 6.37 x 10^6 m. This means that the planet is larger in size but has a similar density compared to Earth.

What other factors can affect the mass and radius of a planet?

The mass and radius of a planet can be affected by various factors such as its distance from the sun, the composition of its atmosphere, and the presence of other celestial bodies in its orbit. These factors can also influence the planet's density, surface gravity, and other physical characteristics.

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