The weight of an object is the same on two different planets. The mass of planet...

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The weight of an object is the same on two different planets. The mass of planet...

The weight of an object is the same on two different planets. The mass of planet A is only 60 percent that of planet B. Find the ratio rA/rB of the radii of the planets.

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Answer 1

Answer #1

we can equate the gravitational force from both planets

GM_am / r_a² = GM_bm / r_b²

we get

M_a / r_a² = M_b / r_b²

r_a / r_b = sqrt (m_a / m_b)

r_a / r_b = sqrt (0.6m_b / m_b)

r_a / r_b = sqrt (0.6)

r_a / r_b = 0.7745

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Answer 2

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