Question 1 :
A mass of 1 kg is suspended by a thread. It is <br> (i) lifted up with an acceleration {tex} 4.9 \mathrm { m } / \mathrm { s } ^ { 2 } , {/tex} <br>(ii) lowered with an acceleration {tex} 4.9 \mathrm { m } / \mathrm { s } ^ { 2 } {/tex}. <br>The ratio of the tensions is

Question 2 :
If {tex} \mu _ { \mathrm { s } } , \mu _ { \mathrm { k } } {/tex} and {tex} \mu _ { \mathrm { r } } {/tex} are coefficients of static friction, kinetic friction and rolling friction, then

Question 3 :
A particle moves in the {tex} X - Y {/tex} plane under the influence of a force such that its linear momentum is {tex} \vec { p } ( t ) = A [ { \hat i \cos ( k t ) - \hat j \sin ( k t )} ] {/tex} , where {tex} A {/tex} and {tex} K {/tex} are constants. The angle between the force and the momentum is

Question 4 :
Two bodies of masses {tex} 1 \mathrm { kg } {/tex} and {tex} 2 \mathrm { kg } {/tex} moving with same velocities are stopped by the same force. Then the ratio of their stopping distances is

Question 5 :
In the diagram shown, friction is completely absent. If a force {tex} F {/tex} has been applied on the wedge such that it moves with a constant velocity than value of normal reaction {tex} N {/tex} is<br> <img style='object-fit:contain' src='https://storage.googleapis.com/teachmint/question_assets/NEET/5e105321de596850506e3835' />

Question 6 :
A train is moving with a speed of {tex} 36 \mathrm { km } / \mathrm { hour } {/tex} on a curved path of radius {tex} 200 \mathrm { m } {/tex}. If the distance between the rails is {tex}1.5 \mathrm { m } , {/tex} the height of the outer rail over the inner rail is

Question 7 :
A wheel of radius r rolling on a straight line, the velocity of its centre being v. At a certain instant the point of contact of the wheel with the grounds is M and N is the highest point on the wheel(diametrically opposite to M). The incorrect statements is?

Question 8 :
The minimum force required to start pushing a body up rough (frictional coefficient {tex} \mu ) {/tex} inclined plane is {tex} F _ { 1 } {/tex} while the minimum force needed to prevent it from sliding down is {tex} F _ { 2 } {/tex}. If the inclined plane makes an angle {tex} \theta {/tex} from the horizontal such that {tex} \tan \theta = 2 \mu {/tex} then the ratio {tex} \frac { F _ { 1 } } { F _ { 2 } } {/tex} is

Question 10 :
In the given figure, a smooth parabolic wire track lies in the {tex} x y - {/tex} plane (vertical). The shape of track is defined by the equation {tex} y = x ^ { 2 } . {/tex} A ring of mass m which can slide freely on the wire track, is placed at the position {tex} \mathrm { A } ( 1,1 ) {/tex}. The track is rotated with constant angular speed {tex} \omega {/tex} such there is no relative slipping between the ring and the track. The value of {tex} \omega {/tex} is<br> <img style='object-fit:contain' src='https://storage.googleapis.com/teachmint/question_assets/NEET/5e1057b34faa335027dc7c47' />

Question 11 :
A force {tex} F = - K ( y \hat { i } + x \hat { j } ) {/tex} (where {tex} K {/tex} is a positive constant) acts on a particle moving in the {tex} x y {/tex} plane. Starting from the origin, the particle is taken along the positive {tex} x {/tex} axis to the point {tex} ( a , 0 ) , {/tex} and then parallel to the {tex} y {/tex} axis to the point {tex} ( a , a ) , {/tex} The total work done by the force {tex} F {/tex} on the particle is

Question 12 :
According to work-energy theorem, the work done by the net force on a particle is equal to the change in its

Question 13 :
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 14 :
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 15 :
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 16 :
The work done in sliding a wooden box of mass $5\ kg$ along a friction less inclined plane of inclination ${30}^{o}$ and length $10\ m$ is______$J$. $(g=10\ {ms}^{-2})$

Question 17 :
A man of weight $50\&#160; kg$ carries an object&#160;to a height of $20\ m$ in a time of $10\&#160; s$. The power used by the man in the this&#160;process is $2000\ W$, then find the mass of the object carried by the man.<br/>[assume&#160;$g= 10 ms^{-2}]$

Question 18 :
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 19 :
Calculate the work done on the tool by {tex} \vec { F } {/tex} if this displacement is along the straight line {tex} y = x {/tex} that connects these two points.

Question 20 :
Which of the following must be known in order to determine the power output of an automobile?

Question 21 :
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 22 :
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 23 :
A particle is taken round a circle by application of force. The work done by the force is

Question 24 :
In an inelastic collision, which of the following does not remain conserved?

Question 25 :
The power required to keep the belt moving is ____ $\dfrac{d}{dt}$ (KE)