A body of mass 40 kg has weight 460 N at a certain planet. What is the weight of: (a) 450 gr (b) 50 kg and (c) 15 gr on that planet?

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Answer 1 · 2018-01-27T22:53:18

The weights are: a) $5.175 N$ , b) $575 N$ and c) $0.1725 N$

The mass and weight are used to determine the strength of the gravitational field $g$ on the planet as follows:

$g=W/m = (460 N)/(40 kg) = 11.5 N/(kg)$

This means that the planets gravity will cause any $1 kg$ of mass to register a weight of $11.5 N$ . So,

$W=mg$

tells us that the other bodies weigh:

a) $0.45 kg xx 11.5 N/(kg) = 5.175 N$

b) $50 kg xx11.5 N/(kg) = 575 N$

c) $0.015 kg xx 11.5 N/(kg) = 0.1725 N$