Question

show that the weight of the body on moon = 1/6 of the weight of the body in earth.l​

Answer 1

◆ Answer -

W' = W/6.458

● Explanation -

Weight of object on earth is -

W = GMm/R^2

Weight of object on moon is -

W' = GM'm/R'^2

Ratio of weight on earth to that of moon -

W/W' = (GMm/R^2) / (GM'm/R'^2)

W/W' = MR'^2 / M'R^2

W/W' = [6.37×10^24 × (1.74×10^6)^2] / [7.36×10^22 × (6.37×10^6)^2]

W/W' = 6.458

W' = W/6.458

Hence, weight of object on moon is approximately 6 times than that at earth.

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Answer 2

Answer:

hope it's help full for u