A heavenly body has its mass and radius half of the Earth's. If a stone weighs 100N on the Earth,find its weight on the heavenly body.?

2015-08-02 10:40 am
Is the answer : 200 N ????? I got 200N

回答 (2)

2015-08-02 10:45 am
✔ 最佳答案
See

g = GM(e)/[R(e)]^2

now M= M(e)/2 and R = R(e)/2

g' = G*[M(e)/2]/[R(e)]^2/(4)

g' = 2GM(e)/[R(e)]^2

g' = 2g

g' = 20m/s^2

so mg' = 2mg = 200N Ans.
2015-08-02 12:30 pm
ge = Me*G/re^2
gb = Me/2*G*4/re^2
gb/ge = 4/2 = 2 = 19.6 m/sec^2
weight = 100*gb/ge = 200 N


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