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Atoms And Molecules

Question
CBSEENSC9006144

Imagine that you are visiting planet Mars. You want to record your weight in a notebook on this planet. If your weight on the earth is 450 N, what would you record as your weight on the Mars? Take mass of Mars = 6 x 1023 kg and g = 10 m/s2.

Solution

Weight of the person on Earth = 450 N
Therefore,
Mass comma space straight m space equals space straight W over straight g space equals space 450 over 10 space equals space 45 space kg

Weight space on space Mars space equals space Force space of space attraction space exerted space by space Mars

space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space GMm over straight R squared space

space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space fraction numerator 6.67 space cross times space 10 to the power of negative 11 end exponent space cross times space 6 space cross times space 10 to the power of 23 space cross times space 45 over denominator left parenthesis 4.3 space cross times space 10 to the power of 6 right parenthesis squared end fraction

space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space 97.4 space straight N. space