Dr. S K Jain and Dr. Shailesh K Jain Solutions for Chapter: Gravitation, Exercise 3: Class Assignment 3

Is the value of $\mathrm{g}$ on the surface of the earth is constant?

At what place on the earth the value of $\mathrm{g}$ becomes zero?

Write the equations of motion for freely falling body.

Write the equations of motions for a body thrown vertically upwards.

A ball is thrown vertically upwards, prove that its time of ascent is equal to time of descent.

A person buys a few grams of gold at the poles. He sold the same to another person at the equator. Will the person at the equator agree with the weight of the gold bought at the poles? If not give reason.

What is the importance of universal law of gravitation?

A ball thrown up vertically returns to the thrower after $6 \mathrm{s}$, ($\mathrm{g}=10 \mathrm{m}/{\mathrm{s}}^2$)
Find
(a) the velocity with which it was thrown up
(b) the maximum height it reaches
(c) its position after $4 \mathrm{s}$.