A planet has a mass of 5.97 x 1024 kg and a radius of 6.38 x 106 m. Find the weight of a 65.0 kg person at 1000 km above the surface of this planet.

Question

Arias

Biology

24 January, 07:13

A planet has a mass of 5.97 x 1024 kg and a radius of 6.38 x 106 m. Find the weight of a 65.0 kg person at 1000 km above the surface of this planet.

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Haiden · Answer 1

For this we use the formula: g = GM/r²

Where G = 6.67 x 10^11 Nm²/kg²

So:

(6.67 x 10^11) x (5.97x10^24) / (6.38x10^6 + 1 x 10^6)

g = 7.31 m/s²

F = mg = 65kg x 7.31 m/s² = 475N