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#