Question 1 :
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 2 :
An object of mass <b>2kg </b> makes an elastic collision with another object of mass <b> M </b> at rest and continues to move in the original direction but with one-fourth of its original speed. What is the value of <b>M </b>?
Question 3 :
The work done on a particle of mass $m$ by a force $K \left[\dfrac{x}{(x<br>^{2}+y^{2})^{3/2}}\hat{i}+\dfrac{y}{(x^{2}+y^{2})^{3/2}}\hat{j} \right] $, where $K$ being a constant of appropriate dimensions, when the particle is taken from the point $(a,\ 0)$to the point $(0,\ a)$along a circular path of radius $a$ about the origin in the x-y plane is:<br>
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 :
The coefficient of restitution e for a perfectly elastic collision is
Question 6 :
A particle is taken round a circle by application of force. The work done by the force is
Question 7 :
A man of weight $50\  kg$ carries an object to a height of $20\ m$ in a time of $10\  s$. The power used by the man in the this process is $2000\ W$, then find the mass of the object carried by the man.<br/>[assume $g= 10 ms^{-2}]$
Question 8 :
A uniform chain of length 2 m is kept on a table such that a length of 60 cm hangs freely from the edge of the table. The total mass of the chain is 4 kg. What is the work done in pulling the entire chain on the table?
Question 9 :
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 10 :
A ball moving with velocity {tex} 2 \mathrm { m } / \mathrm { s } {/tex} collides head on with another stationary ball of double the mass. If the coefficient of restitution is {tex} 0.5{/tex} ,then their velocities (in {tex} \mathrm { m } / \mathrm { s } ) {/tex} after collision will be