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physics

an object weighs 10N on earth .what is the objects weight on a planet one tenth the earths mass and one half its radius?

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  1. Weight is mass m times acceleration due to gravity g, which is given by g=GMm/R^2 where M and R are mass & radius of Earth and G is Universal Gravitational Constant.
    For new planet, g`=G(0.1Mm/(R/2)^2
    =0.1GMm/R^2/4
    =GMm(0.1x4)/R^2=0.4GMm/R^2
    Hence g/g`=0.4, which means the weight on the new planet will be 10X0.4=4N.

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