Question

Physics tells us that weights of an object on the moon is proportional to its weight on Earth. Suppose a 90 kg man weighs 15 kg on the moon what will a 60 kg woman weigh on the moon?

Answer 1

weight is force that pulls an object with mass ‘m’ towards center of the earth with acceleration ‘g’

x is the mass of 60kg woman on moon

the weights are proportional

therefore,
90kg/15kg=k

60kg/xkg=k

=> 90kg/15kg = 60kg/xkg

x = 60kg*15kg/90kg

x=10kg.

THEREFORE 60 KG WOMAN WILL HAVE 10KG MASS ON MOON

Answer 2

Hi ,

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Direct Proportion :

If two quantities are related that an

increase/decrease in one causes a

corresponding increase/decrease in

other , then they are said to be in direct

proportion or direct variation.

If in two variables x and y ,

x/y = k ( constant ) , then x and y are

called to be in direct variation.

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According to the problem given ,

weight of an object on moon ( x ) is

directly proportional to weight on Earth ( y )

weight of a man on moon ( x1 ) = 15 kg

weight of same man on earth ( y1 ) = 90kg

weight of women on moon = x2

Weight of women on earth ( y2 ) = 60kg

x2/y2 = x1/y1

x2/60 = 15/90

x2 = ( 15 × 60 )/90

x2 = 10 kg

Therefore ,

weight of the women on moon = x2 = 10kg

I hope this helps you.

: )