If a planet existed whose mass was thrice that of earth and whose radius 3 times greater, how much will a 10 kg mass weight on the planet.
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Answer: OKAY SO HERE WE GO !
Step-by-step explanation:For earth :
If the mass of earth is= M Radius of earth= R
and the mass of body on earth is=m
then the weight of the body on earth can be written as
W= gMm/R^2
For another planet :
If the mass is twice than of the earth= 2M , Radius is 3 times= 3R
then the mass of the body can be found as:
W= g(2M)(m)/(3R)^2
W=(2/9)(gMm/R)
Mass of earth and radius has a value of earth so taken as 1 value of gravity is 9.8 and mass of a body is 1 so:
W=(2/9)(1 * 9.8)
W= 2.18 N
So if the body is of 1 kg on earth its mass on the other planet will be 2.18 N
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