Assignment

If a block moving up an inclined plane at $30°$ with a velocity of $5 \mathrm{m} {\mathrm{s}}^{-1},$ stops after $0.5 \mathrm{s},$ then coefficient of friction will be nearly

A metallic chain $1 \mathrm{m}$ long lies on a horizontal surface of a table. The chain starts sliding on the table if $25 \mathrm{cm}$ (or more of it) hangs over the edge of a table. The correct value of the coefficient of friction between the table and the chain is

A block of mass $\mathrm{m}$ placed on an inclined plane of angle of inclination $\mathrm{\theta }$ slides down the plane with constant speed. The coefficient of kinetic friction between block and inclined plane is

The position-time graph of a particle of mass $2 \mathrm{kg}$ moving along $x$-axis is as shown in the figure. The magnitude of impulse on the particle at $\mathrm{t}=2 \mathrm{s}$ is

The rate of mass of the gas emitted from rear of a rocket is initially $20 \mathrm{kg} {\mathrm{s}}^{-1}.$ If the speed of the gas relative to the rocket is $800 \mathrm{m} {\mathrm{s}}^{-1}$ and mass of rocket is $1000 \mathrm{kg},$ then the initial acceleration of the rocket is (Take $g=10 \mathrm{m} {\mathrm{s}}^{-2}$)

A car is moving round a curve of radius $20 \mathrm{m}$ without slipping on a banked road with $\mathrm{\theta }=45°.$ Assuming the coefficient of friction between the road and tyres to be $0.2.$ What is the maximum speed with which the car can move? (Take $g=10 \mathrm{m} {\mathrm{s}}^{-2}$)

The limiting friction between two bodies in contact is independent of-

A heavy box is slid across a rough floor with an initial speed of $4 \mathrm{m} {\mathrm{s}}^{-1}.$ It stops moving after $8$ seconds. If the average resisting force of friction is $10 N,$ the mass of the box (in $\mathrm{kg}$) is