V K Sally and R Goel Solutions for Chapter: Gravitation, Exercise 8: Practice Problems

A satellite is orbiting around the earth at a distance $5$ times the radius of the earth from its centre. If the acceleration due to gravity on the earth is $9.8 \mathrm{m}/{\mathrm{s}}^2$, calculate the acceleration due to gravity acting of a spaceship. 

A satellite whose distance from the centre of a planet is $4$ times the radius of the planet is revolving around it. If the acceleration due to gravity on the surface of the planet is $5 \mathrm{m}/{\mathrm{s}}^2$, calculate the magnitude of the acceleration due to gravity of the satellite.

A stone thrown vertically upward takes $3 \text{s}$ to attain the maximum height. Calculate,

(i) the initial velocity of the stone.

(ii) the maximum height attained by the stone.

(Take $g=9.8 \raisebox{1ex}{$\mathrm{m}$}\!\left/ \!\raisebox{-1ex}{${\mathrm{s}}^2$}\right.$)

A stone thrown vertically upward returns to the thrower in $4 \mathrm{s}$ Calculate

(i) the initial velocity of the stone 

(ii) the maximum height attained by the stone. Take  $g=10 \mathrm{m} {\mathrm{s}}^{-2}$.

A fielder takes a catch $3 \mathrm{s}$ after the player has hit the ball. Assuming that the fielder takes catch at the same height, at which the ball was hit, calculate (i) how high did the ball rise, (ii) the final velocity of the ball. Take $\mathrm{g}=9.8 \mathrm{m} {\mathrm{s}}^{-2}$.

A wooden block of dimensions $40 \mathrm{cm}\times 20 \mathrm{cm}\times 10 \mathrm{cm}$ is found to weigh $5 \mathrm{kg}$. Find the pressure exerted by the block on a tabletop, if it is allowed to lie on the tabletop with its sides  $20 \mathrm{cm}\times 10 \mathrm{cm}$. $(\mathrm{Take} g=9.8 {\mathrm{ms}}^{-2})$

A wooden block of dimensions $40 \mathrm{cm}\times 20 \mathrm{cm}\times 10 \mathrm{cm}$ is found to weigh $5 \mathrm{kg}$. Find the pressure exerted by the block on a tabletop, if it is allowed to lie on the tabletop with its sides $40 \mathrm{cm}\times 20 \mathrm{cm}$ $\left[\mathrm{Take} g=9.8 \mathrm{m} {\mathrm{s}}^{-2}\right]$.

A block of iron of mass $20 \mathrm{kg}$ and of the square base of the side $4 \mathrm{cm}$ is placed on the ground. Find the pressure exerted on the ground?$\left[\mathrm{Take} g=10 \mathrm{m} {\mathrm{s}}^{-2}\right]$.