Dhiren M Doshi Solutions for Chapter: Gravitation, Exercise 4: Check Your Progress

Give reasons:

Mass of an object is constant.

Give reasons:

Weight is a vector quantity.

Give reasons:

Weight of a body at the centre of the earth is zero.

What is the weight of a body whose mass is $20 \mathrm{kg}$? (take $\mathrm{g}=10 \mathrm{m}/{\mathrm{s}}^2$)

The weight of a body is $98 \mathrm{N}$. What is its mass?

An object weighs $588 \mathrm{N}$ on the earth. What would be its mass on the moon? What is the acceleration due to gravity on the moon? (take $\mathrm{g}=9.8 \mathrm{m}/{\mathrm{s}}^2$)

Consider a heavenly body which has a mass twice that of the earth and a radius thrice that of the earth. What will be the weight of an object on this heavenly body, if its weight on the earth is $450 \mathrm{N}$?

How much would a $70 \mathrm{kg}$ man weigh on the moon? What will be his mass on the earth? (take ${\mathrm{g}}_{\mathrm{m}}=1.6 \mathrm{m}/{\mathrm{s}}^2$)