Question

5. A person weighs 85N on the surface of the moon and 490N on the surface of the earth. What is the acceleration of gravity on the surface of the moon?

Answer 1

Mass is constant

• F_1=85N
• F_2=490N
• g_1=?
• g_2=10m/s^2

`\\ \rm\Rrightarrow F=ma`

`\\ \rm\Rrightarrow m=(F)/(a)`

`\\ \rm\Rrightarrow (F_1)/(g_1)=(F_2)/(g_2)`

`\\ \rm\Rrightarrow (85)/(g_1)=(490)/(10)`

`\\ \rm\Rrightarrow (85)/(g_1)=49`

`\\ \rm\Rrightarrow g_1=(85)/(49)`

`\\ \rm\Rrightarrow g_1=1.73m/s^2`