a heavenly body has a mass equal to half of the mass of the earth and it's radius half as that of the earth. lf a stone weighs 100 N on the surface of the earth. Find the weight of the Stone on the heavenly body?
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Explanation:
M = m/2
R = r/2
weight of stone in earth = 100N
weight of stone in heavenly body = MX g²
where g¹ = 9.8m/s²
g²= GM/R²
=. G (m/2). /(r/2)²
= G. m/r². x 4/2
= G m/r² x 2
=. g¹ x 2
weight = M x 2 x g¹
= m/2 x 2 x g¹
=m. x g¹
= 100N
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