A person who weighs 150 pounds on Earth would weigh 67.2 pounds on Mercury. How much would a child who weighs 60 pounds on Earth weigh on Mercury?

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Answer 1 · 2017-08-07T05:38:23

26.88 lb

Weight of person on Earth = 150 lb
150 = mg

Weight of person on Mercury = 67.2 lb
67.2 = ma

$\frac{150}{67.2} = \frac{m g}{m a} = \frac{g}{a}$ $150/67.2 = (mg)/(ma) = g/a$

$a = \frac{67.2 g}{150}$ $a = (67.2g)/150$

Weight of child on earth = 60 lb

$60 = m g$ $60 = mg$

$m = \frac{60}{g}$ $m = 60/g$

Weight of child on mercury = ma

$= \frac{60}{g} \times \frac{67.2 g}{150}$ $= 60/g xx (67.2g)/150$

$= 26.88 l b$ $= 26.88 lb$

Simple Method

$\frac{67.2}{150} \times 100 = 44.8 %$ $67.2/150 xx 100 = 44.8%$

Weight of person on mercury decreased to 44.8%

Hence weight of child will also decreased to 44.8%

$44.8 \times \frac{60 l b}{100} = 26.88 l b$ $44.8 xx (60 lb)/100 = 26.88 lb$