$(a)$ The weight of a man on the surface of the earth is $392 \, N$. Find his mass. $(g = 9.8 \, m s^{-2})$
$(b)$ If the man were taken to the moon,what would be:
$(i)$ his mass and
$(ii)$ his weight?
$(iii)$ Calculate the acceleration due to gravity on the moon.

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(N/A) Given: Weight $(W) = 392 \, N$,Acceleration due to gravity $(g) = 9.8 \, m s^{-2}$.
Mass $(m) = W / g = 392 / 9.8 = 40 \, kg$.
$(b)$ $(i)$ The mass of an object remains constant regardless of location. Therefore,his mass on the moon will be $40 \, kg$.
$(ii)$ The weight of an object on the moon is $1/6$ of its weight on the earth. Therefore,weight on the moon $= 392 / 6 \approx 65.33 \, N$.
$(iii)$ Acceleration due to gravity on the moon $(g_m) = \text{Weight on moon} / \text{Mass} = 65.33 / 40 \approx 1.63 \, m s^{-2}$.

Explore More

Similar Questions

State the universal law of gravitation. Write the $SI$ unit of $G$. The gravitational force between two objects is $100 \, N$. How should the distance between the objects be changed so that the force between them becomes $50 \, N$?

$A$ boy drops a ball from a cliff $122.5 \, m$ high.
Find:
$(i)$ How long does it take the ball to fall to the ground?
$(ii)$ How far does it fall in the first three seconds?
$(iii)$ How fast is it going at the end of three seconds?

$A$ stone is dropped from a cliff. Its speed after it has fallen $100 \,m$ is: (in $, m s^{-1}$)

Give a reason for the statement that the value of $g$ is greater at the poles than at the equator.

If the diameter of the earth becomes two times its present value and its mass remains unchanged,then how would the weight of an object on the surface of the earth be affected?

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo