Ask Question
8 December, 07:42

Suppose that you travel to a planet that has 4 times the Earth's mass and 4 times the Earth's radius. Calculate how much more or less you would weigh on this planet compared to your weight on Earth.

+1
Answers (1)
  1. 8 December, 08:11
    0
    Mass on the planet would be 4 times the mass on Earth.

    Explanation:

    Given -

    Let the mass of Earth = Me

    Let the radius of Earth = Re

    Mass of the planet, Mp = 4Me

    Radius of the planet, Rp = 4Re

    Weight on other planet, W = ?

    Weight on planets is determined by the gravitational force

    Gravitational force, F = GMm/r²

    where, G = gravitational constant

    M = Mass of the planet

    m = our mass

    r = radius of the planet

    Gravitational force on Earth:

    F = G X Me X ma / Re² (ma = mass on earth)

    Gravitational force on planet:

    F = G X 4Me X mₓ / (4Re) ² (mx = mass on other planet)

    Dividing both the equations, we get

    mx = 4ma

    Therefore, mass on the planet would be 4 times the mass on Earth.
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “Suppose that you travel to a planet that has 4 times the Earth's mass and 4 times the Earth's radius. Calculate how much more or less you ...” in 📗 Physics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers