Telangana Board Solutions for Chapter: Gravitation, Exercise 1: Exercise 1

Find the free-fall acceleration of an object on the surface of the moon, if the radius of the moon and its mass are $1740 \mathrm{km}$ and $7.4\times {10}^{22} \mathrm{kg}$ respectively. Compare this value with free-fall acceleration of a body on the surface of the earth.

A ball is dropped from a height. If it takes $0.2 \mathrm{s}$ to cross the last $6 \mathrm{m}$ before hitting the ground, find the height from which it is dropped. Take $g=10 \mathrm{m} {\mathrm{s}}^{-2}$.

The bob of a simple pendulum of length $1 \mathrm{m}$ has mass $100 \mathrm{g}$ and a speed of $1.4 \mathrm{m} {\mathrm{s}}^{-1}$ at the lowest point in its path. Find the tension in the string at this moment. Take $g=9.8 \mathrm{m} {\mathrm{s}}^{-2}$.

What path will the moon take when the gravitational interaction between the moon and the earth disappears?

Can you think of two particles which do not exert gravitational force on each other? Why?

Why is it easier to carry the same amount of water in two buckets, one in each hand rather than in a single bucket?

A man is standing against a wall such that his right shoulder and right leg are in contact with the surface of the wall along his height. Can he raise his left leg at this position without moving his body away from the wall? Why? Explain.

An apple falls from a tree. An insect in the apple finds that the earth is falling towards it with and acceleration $\text{'}g\text{'}$. Who exerts the force needed to accelerate the earth with this acceleration?