Gravitation — Question 12

Given,

Acceleration due to earth's gravity g = 9.8 ms^-2

Object's mass, m = 10 kg

Acceleration due to moon gravity = g_m

Weight on the earth = W_e

Weight on the moon = W_m

Weight = mass x gravity

g_m = $\dfrac{1}{6}$ g_e (given)

So, W_m = m g_m = m x $\dfrac{1}{6}$ x g_e

W_m = 10 x $\dfrac{1}{6}$ x 9.8 = 16.34 N

W_e = m x g_e = 10 x 9.8

W_e = 98 N

Hence, weight on moon and earth = 16.34 and 98 N respectively.