Physics

Problem

A newly discovered planet named Astra has a mass of

5.0\times10^{24}\,\text{kg}

and a radius of

5.0\times10^{6}\,\text{m}

. A student standing on a platform

50\,\text{m}

above Astra’s surface drops a stone from rest. a. (i) Using the universal gravitational constant

G = 6.67\times10^{-11}\,\text{N\,m}^2\!/\text{kg}^2

, calculate the acceleration due to gravity at the surface of Astra. b. (ii) Determine the time taken by the stone to reach the surface of Astra. c. (iii) Find the weight of a

2\,\text{kg}

object on Astra and compare it with its weight on Earth

(g_{\text{Earth}} = 9.8\,\text{m/s}^2)

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