Question

q.5 a man weighs 130.4 n on the moon. if the acceleration due to gravity on the moon is 1.63 m/s2. find the mass of the man and his weight on the earth( g = 9.8 m/s2)

Answer 1

on moon, weight of man = 130.4 N
g = 1.63 m/s²

so mg = 130.4
⇒ m = 130.4 / g
⇒ m = 130.4 / 1.63 = 80kg

on earth, g = 9.8 m/s²
weight on earth = mg = 80×9.8 = 784 N

Answer 2

Mass of the man is 80Kg and his weight on the earth is 782.3 N.

Moon                  

$W_{m}$ = m $g_{m}$

130.4 = m * 1.63

$\frac{130.4}{1.63}$ = m

m = 79.75 Kg

m = 80 Kg (approximately)

Therefore the mass of the man is 80 Kg

Earth

$W_{e}$ = m $g_{e}$

$W_{e}$ = 80 * ( 6 * $g_{m}$ )                        ∴      $g_{e}$ = 6*$g_{m}$

 $W_{e}$ = 80 * 6 * 1.63

$W_{e}$ = 782.4 N.

Therefore the man's weight on the earth is 782.4 N.

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