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10. On a planet whose size is the same and masstimes as that of the earth, find the energy needed tolift a 2 kg mass vertically upwards through 2 mdistance in joule. The value of g on the surface ofearth is 10 ms(Ans. 160 J)

Answer»

The acceleration due to gravity is given byg=GMR2. So in the other planet the acceleration due to gravity is given byg'=G4MR2=4GMR2=4gSo energy to lift 2 kg mass to 2 m height is given byEp=mg'h=2×4g×2=2×4×10×2=160J



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