Dhiren M Doshi Solutions for Chapter: Gravitation, Exercise 2: Check Your Progress

What happens to the speed of a ball when it is dropped from a height?

Explain Robert Boyle's experiment which proved Galileo's theory that all bodies fall with the same speed towards the earth.

Calculate the acceleration produced in a $2 \mathrm{kg}$ rock due to earth  (mass of earth $=6\times {10}^{24} \mathrm{kg}$, radius of the earth$=6.4\times {10}^6 \mathrm{m}$).

The mass of a planet is $6\times {10}^{24} \mathrm{kg}$ and its diameter is $12.8\times {10}^3 \mathrm{km}$. Calculate the value of acceleration due to gravity on the surface of the planet.

Suppose a planet exists whose mass and radius both are half of that of the earth. Calculate the acceleration due to gravity on the surface of this planet.

Compare the gravitational forces exerted by the sun and moon on the earth. Which exerts a greater force and by how many times?

The earth's gravitational force produces an acceleration of $5 \mathrm{m}/{\mathrm{s}}^2$ in a $1 \mathrm{kg}$ mass somewhere in space. What will be the acceleration of a $3 \mathrm{kg}$ mass at the same place?

Calculate the acceleration due to gravity when a spaceship is at a distance equal to twice the earth's radius from the centre of the earth.