The mass of a body on earth is 10 kg. Find its weight on a planet whose mass is twice the mass of the earth and radius of planet is twice the radius of the earth.
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Solution
For earth : If mass of earth is= M Radius of earth= R and the mass of body on earth is=m then weight of body on earth can be written as W= gMm/R²
For other planet: If mass is twice than the earth= 2M , Radius is 2 times= 2R then mass of the body can be found as: W= g(2M)(m)/(2R)² W=(2/4)(gMm/R²) Mass of earth and radius has value of earth so taken as 1 value of gravity is 9.8 and mass of body is 10 so: W=(2/4)(10× 9.8) W= 49 N So if body is of 10 kg on earth its mass on the the other planet will be 2 49 N