A mass m is taken to a planet whose mass is equal to half that of earth and radius is 4 times that of earth .The mass of the body on this planet will be
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The mass is the amount of matter in an object.The mass m will be the same on Earth and in any place of the universe since the amount of matter is same and doesn't depend on where the object is.
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mₚ=mₑ/2
Rₚ= 4Rₑ
gₑ=Gmₑ/Rₑ²= 10 m/s²
gₚ=Gmₚ/Rₚ²
gₚ= Gmₑ/2×16Rₑ²
gₑ/gₚ=Gmₑ/Rₑ²/Gmₑ/2×16Rₑ²=32
32gₚ=gₑ
gₚ=10/32m/s²
wₚ= m×gₚ
wₚ=10m/32 N
The mass of the body remains same everywhere but its weight would become 5/16 times it weighs on earth
Rₚ= 4Rₑ
gₑ=Gmₑ/Rₑ²= 10 m/s²
gₚ=Gmₚ/Rₚ²
gₚ= Gmₑ/2×16Rₑ²
gₑ/gₚ=Gmₑ/Rₑ²/Gmₑ/2×16Rₑ²=32
32gₚ=gₑ
gₚ=10/32m/s²
wₚ= m×gₚ
wₚ=10m/32 N
The mass of the body remains same everywhere but its weight would become 5/16 times it weighs on earth
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