Question 1 :
A body is acted upon by a force $ F = \hat{i} + 2 \hat{j} + 3 \hat{k} $ . The work done by the force in displacing it from $ (0, 0, 0) $ to $ (0,0,4m)$ will be -

Question 2 :
If two like charged particles are brought near one another, the potential energy of the system will

Question 3 :
A body is moved along a straight line by a machine delivering constant power. The distance moved by the body in time t is proportional to

Question 4 :
A uniform force of {tex} ( 3 \hat { i } + \hat { j } ) {/tex} newton acts on a particle of mass {tex} 2 \mathrm { kg } {/tex}. The particle is displaced from position {tex} ( 2 \hat { i } + \hat { k } ) {/tex} meter to position {tex} ( 4 \hat { i } + 3 \hat { j } - \hat { k } ) {/tex} meter. The work done by the force on the particle is

Question 5 :
A body of mass {tex} 1 \mathrm { kg } {/tex} begins to move under the action of a time dependent force {tex} \vec { \mathrm { F } } = \left( 2 \mathrm { t } \hat { \mathrm { i } } + 3 \mathrm { t } ^ { 2 } \hat { \mathrm { j } } \right) \mathrm { N } {/tex} where {tex} \hat { \mathrm { i } } {/tex} and {tex} \hat { \mathrm { j } } {/tex} are unit vectors along {tex} \mathrm { x } {/tex} and {tex} \mathrm { y } {/tex} axis. What power will be developed by the force at the time {tex} \mathrm {t} {/tex} ?

Question 6 :
A particle moves under the effect of a force {tex} \mathrm { F } = \mathrm { cx } {/tex} from {tex} \mathrm { x } = 0 {/tex} to {tex} \mathrm { x } = \mathrm { x } _ { 1 } , {/tex} the work done in the process is

Question 7 :
A body moves a distance of {tex} 10 \mathrm { m } {/tex} along a straight line under the action of a force of {tex}5{/tex} newtons. If the work done is {tex}25{/tex} joules, the angle which the force makes with the direction of motion of body is

Question 8 :
A car of mass {tex} m {/tex} starts from rest and accelerates so that the instantaneous power delivered to the car has a constant magnitude {tex} p _ { 0 } {/tex}. The instantaneous velocity of this car is proportiourl to:

Question 9 :
If a machine gun fires n bullets per second each with kinetic energy {tex} \mathrm { K } , {/tex} then the power of the machine gun is

Question 10 :
A {tex}10{/tex} H.P. motor pumps out water from a well of depth {tex} 20 \mathrm { m } {/tex} and fills a water tank of volume {tex}22380{/tex} litres at a height of {tex}10 \mathrm { m } {/tex} from the ground. The running time of the motor to fill the empty water tank is {tex} \left( \mathrm { g } = 10 \mathrm { ms } ^ { - 2 } \right) {/tex}

Question 11 :
Johnny and his sister Jane race up a hill. Johnny weighs twice as much as jane and takes twice as long as jane to reach the top. Compared to Jane

Question 12 :
A body of mass {tex} 0.5 \mathrm { kg } {/tex} travels in a straight line with velocity {tex} v = 5 x ^ { 3 / 2 } . {/tex} The work done by the net force during the displacement from {tex} x = 0 {/tex} to {tex} x = 2 \mathrm { m } {/tex} is

Question 13 :
A <b>10 m</b> long iron chain of linear mass density <b>0.8 kgm^-1</b> is hanging freely from a rigid support. If <b>g = 10 ms^-2</b>, then the power required to left the chain upto the point of support in 10 second

Question 14 :
Two blocks of masses {tex} m{/tex} and {tex}M{/tex} are joined with an ideal spring of spring constant {tex}k{/tex} and kept on a rough surface as shown. The spring is initially unstretched and the coefficient of friction between the blocks and the horizontal surface is {tex} \mu . {/tex} What should be the maximum speed of the block of mass {tex} M {/tex} such that the smaller block does not move?<br><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/NEET/5e0ee764dc973f528b538d04">

Question 15 :
One man takes {tex} 1 \mathrm { min } {/tex}. to raise a box to a height of {tex}1{/tex} metre and another man takes {tex} 1 / 2 \mathrm { min } {/tex}. to do so. The energy of the

Question 16 :
A boy pushes a toy box {tex} 2.0 \mathrm { m } {/tex} along the floor by means of a force of {tex} 10 \mathrm { N } {/tex} directed downward at an angle of {tex} 60 ^ { \circ } {/tex} to the horizontal. The work done by the boy is

Question 17 :
A force of $5N$ is applied on a $20kg$ mass at rest. The work done in the third second is,

Question 18 :
How much water, a pump of {tex} 2 \mathrm { kW } {/tex} can raise in one minute to a height of {tex} 10 \mathrm { m } , {/tex} take {tex} \mathrm { g } = 10 \mathrm { m } / \mathrm { s } ^ { 2 } ? {/tex}

Question 19 :
A mass of {tex} 20 \mathrm { kg } {/tex} moving with a speed of {tex} 10 \mathrm { m } / \mathrm { s } {/tex} collides with another stationary mass of {tex} 5 \mathrm { kg } {/tex}. As a result of the collision, the two masses stick together. The kinetic energy of the composite mass will be

Question 20 :
When the force retards the motion of body, the work done is

Question 21 :
If W represents the work done, then match the two columns:<br><table> <tr><th>Column I </th> <th>Column II</th> </tr> <tr><td>(A)Force is always along the velocity</td> <td>(1)W=0</td> </tr> <tr><td>(B)Force is always perpendicular to velocity </td> <td>(2)W<0</td> </tr> <tr><td>(C)Force is always perpendicular to acceleration</td> <td>(3)W>0</td> </tr> <tr><td>(D)The object is stationary but the point of application of the force moves on the object</td> <td></td> </tr> </table>

Question 22 :
A vehicle is moving with a uniform velocity on a smooth horizontal road, then power delivered by its engine must be

Question 23 :
A block of mass {tex} 1 \mathrm { kg } {/tex} is pulled along the curve path {tex} \mathrm {A C B }{/tex} by a tangential force as shown in figure. The work done by the frictional force when the block moves from {tex} \mathrm A {/tex} to {tex}\mathrm B {/tex} is<br><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/NEET/5e0ee6688420d95285473c80"><br>

Question 24 :
A {tex} 2 \mathrm { kg } {/tex} block slides on a horizontal floor with a speed of {tex} 4 \mathrm { m } / \mathrm { s } {/tex}. It strikes a uncompressed spring, and compresses it till the block is motionless. The kinetic friction force is {tex} 15 \mathrm { N } {/tex} and spring constant is {tex} 10,000 \mathrm { N } / \mathrm { m } {/tex}. The spring compresses by

Question 25 :
A body of mass 1 kg begins to move under the action of a time dependent force {tex} \vec F{/tex} = (2t{tex} \hat i{/tex}+3{tex}t^2 \hat j{/tex})N, where {tex} \hat i{/tex}and {tex} \hat j{/tex} are unit vectors along x and y axis. What power will be developed by the force at the time t?