A body has weight w on the surface of earth.What is the weght of on planet whose mass is 15 times of earth and 4 times radius
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On Earth, Mass of the Earth = M and Radius = r.
F₁ = GmM/r²
On Other Planet, Mass = 15 M.
Radius = 4r
∴ F = Gm × 15M/16r²
F = GmM/r² × 15/16
⇒ F = F₁ × 15/16
∴ Weight of the man on the Planet will be 15/16 of the Weight on Earth.
Hope it helps.
Answered by
1
Answer:
On Earth, Mass of the Earth = M and Radius = r.
F₁ = GmM/r²
On Other Planet, Mass = 15 M.
Radius = 4r
∴ F = Gm × 15M/16r²
F = GmM/r² × 15/16
⇒ F = F₁ × 15/16
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