Question 1 : If set of forces acting on a body are balanced, the body

Question 4 : An automobile that is pulling a trailer is accelerating on a level road. The force that the automobile exerts on the trailer is:

Question 5 : A 10 N force applied on a body produces in it an acceleration of $2 \,m\, s^{-2}$, then the mass of the body is ______.

Question 9 : When a horse pulls a wagon, the force that causes the horse to move forward is the force

Question 11 : If you are asked to push an object so that the acceleration produced in it has to be twice as before, then the force required will be :

Question 12 : Which of the following Newton's law(s) is/are not applicable in non-inertial reference frame.

Question 13 : Assertion: Newton's third law of motion is applicable only when bodies are in motion. Reason: Newton's third law applies to all types of forces. e.g. gravitational, electric or magnetic forces etc.,

Question 15 : N bullets each of mass $m \ kg$ are fired with a velocity $v \ ms^{-1}$ at the rate of n bullets per second upon a wall. The reaction offered by the wall to the bullets is given by

Question 16 : In an elastic collision of two particles the following is conserved

Question 17 : Assertion: Water at the foot of the water fall is always at different temperature from that at the top. Reason: The potential energy of water at the top is converted into heat energy during falling

Question 18 : A bullet loses 1/20 of its initial velocity after penetrating a plank. How many plank's required to stop the bullet?

Question 19 : A ball$A$ is moving with velocity $5 m/s$ collides elastically with another identical ball $B$ which is initially at rest such that the velocity of $B$ after the collision makes an angle of $37^\circ $ with the initial velocity of $A$. Then the <b>INCORRECT</b>&#160; statement is :

Question 20 : A rocket is propelled by a gas which is initially at a temperature of $4000 \ K$. The temperature of the gas falls to $1000 \ K$ as it leaves theexhaust nozzle. The gas which will acquire the largest momentum<br>while leaving the nozzle is

Question 21 : A wagon of mass 10 tons moving at a speed of 12 kmph collides with another wagon of mass 8 tons moving on the same track in the same direction at a speed of 10 kmph. If the speed of the first wagon decreases to 8 kmph. Find the speed of the other after collision

Question 22 : Write true or false for the following statements:<br>Impulse represents the rate of change of momentum of a body.

Question 24 : &#160;A heavier body moving with certain velocity collides head on elastically with a lighter body at rest. Then<br/>

Question 25 : If $120 N $ of force is acting on a body with $6 ms^{-2}$ acceleration, Its mass is _____________.

Question 26 : A body of mass 40 gm is moving with a constant velocity of 2 cm/sec on a horizontal frictionless table. The force on the table is -

Question 27 : A particle of mass 0.1 kg moving with an initial speed v collides with another particle of same mass kept at rest. If after collision the total energy becomes 0.2 J, then:

Question 28 : A particle moves in the $xy-plane$ under the action of a force $F$ such that the components of its linear momentum $p$ at any time $t$ are $p_{x} = 2\cos t, p_{y} = 2\sin t$. The angle between $F$ and $p$ at time $t$ is

Question 29 : If weight of a body is 1000 dyne, then the mass of the body will be(take g = 10ms$^{-}$ $^{2}$)

Question 30 : A skater of mass m standing on ice throws a stone of mass M with a velocity of V in a horizontal direction. The distance over which the skater will move back (the coefficient of friction between the skater and the ice is $\mu$) :<br>

Question 31 : A student attempts to pull himself up by tugging on his hair. He will not succeed.

Question 32 : A particle in equilibrium is subjected tofour forces: $\displaystyle F_{1}= -10\hat k, F_{2} = u \left( \frac{4}{13}\hat i-\frac{12}{13}\hat j+\frac{3}{13}\hat k \right),F_{3}=v \left( -\frac{4}{13}\hat i-\frac{12}{13}\hat j+\frac{3}{13}\hat k \right)$ and $F_{4}=w (\cos \theta\hat i + \sin \theta\hat j)$Then:<br>

Question 33 : Assertion: A cloth covers a table. Some dishes are kept on it. The cloth can be pulled out without dislodging the dishes from the&#160;table. Reason: For every action there is an equal and opposite reaction.

Question 34 : In a gravity free space, a man of mass $M$ standing at a height $h$ above the floor, throws a ball of mass $m$ straight down with a speed $u$. When the ball reaches the floor, the distance of the man above the floor will be

Question 36 : If a ball thrown vertically up attains a maximum height of 80m, its initial speed is$\displaystyle ( g ={ 10\quad ms }^{ -2 } )$.

Question 37 : Which of the following quantities may remain constant during the motion of an object in a circular path?<br/>

Question 38 : If the displacement of an object is proportional to square of time, then the&#160;object moves with<br/>

Question 39 : During the sharpening of a knife with the help of a&#160;grind stone, the direction of motion of sparks is:<br/>

Question 41 : Fill in the blank.In circular motion, force is always _______ to the displacement.

Question 42 : A particle of mass 3 kg moves under the force of $4\hat{i}+8\hat{j}+10\hat{k}$ N. If the particle starts from rest and was at origin initially. Its new co-ordinates after 3 seconds is :

Question 43 : Assertion: Linear momentum of a body changes even when it is moving uniformly in a circle. Reason: In uniform circular motion velocity remains constant.

Question 44 : State whether the given statement is True or False :In a uniform circular motion, the speed continuously changes because the direction of motion changes.<br/>

Question 46 : State whether the given statement is True or False :The earth moves around the sun with a uniform velocity.<br/>

Question 48 : A particle travel half of the distance of a straight journey with a speed $6 m/s$. The remaining part of the distance is covered with speed $2 m/s$for half of the time remaining journey and with speed $4 m/s$for other half of time. The average speed of the particle is

Question 49 : A wheel spins on its axis at a constant rate and hasn't yet made a complete rotation.Which of the following statements is correct?

Question 50 : State whether true or false.<br/>A particle rotating in a circular path may have constant speed but velocity changes continuously.

Question 51 : A cyclist moving on a circular track, exhibiting uniform circular motion moves with

Question 53 : The motion of a bus going around a traffic roundabout is curvilinear motion. True or false.

Question 54 : The speed of a car reduces from $15&#160; m&#160; s^{-1} $ to&#160; $5&#160; m&#160; s^{-1}$ over a displacement of 10 m. What is the uniform acceleration of the car?<br/>

Question 56 : In a uniform circular motion, the magnitude and direction of velocity at different points remain the same.

Question 57 : Assertion(A): In uniform circular motion the particle&#160;has zero acceleration.<br/>Reason (R) : Centripetal force is essential to keep&#160;a particle in circular motion.<br/>

Question 58 : In a uniform linear motion which of the following quantities remains zero?

Question 60 : A car accelerates on a horizontal road due to the force exerted by

Question 61 : In the equation of motion, $S = ut + 1/2 at^2$, S stands for

Question 62 : If the body is moving in a circle of radius $r$ with a constant speed $V$, its angular velocity is

Question 63 : A particle is moving along a circle with uniformspeed. The physical quantity which is constantboth in magnitude and direction, is<br>

Question 65 : A body is thrown up with velocity $u$ to reach a height $h$. When the velocity is half the initial velocity, its height from the point of projection is:

Question 66 : A vehicle moving at a speed of 15 m/s is stopped&#160;by applying brakes which produce a uniform acceleration of -0.5 $m/s^2$. The distance covered by the vehicle before it stops is:

Question 67 : A ball dropped from a point $P$ crosses a point $Q$ in $t$ second. if $R$ andS are points such that, $PQ=QR=RS$,the time taken by the ball totravel from $R$ to $S$ is:

Question 68 : A stone fails from a balloon that is descending&#160; at a uniform rate of $12\, ms^{-1}$. The displacement of the stone from the point of release after 10 sec is :-

Question 69 : A train starts from rest and accelerates uniformly at a rate of&#160;&#160;$2\ ms^{-2}$ for 10 s. It then maintains a constant speed for 200 s. The brakes are then&#160;applied and the train is uniformly retarded and&#160;comes to rest in 50 s. Find the maximum velocity reached.

Question 70 : <p>A particle has initial velocity $4\hat i{\text{ }}m/s$ and a uniform acceleration of$1.5\hat j{\text{ m/}}{{\text{s}}^2}$ . Its speed after 2 sec will be</p>

Question 71 : The free end of a thread wound on a bobbin is passed round a nail $A$ hammered into the wall. The thread is pulled at a constant velocity. Assuming pure rolling of bobbin, find the velocity $v_0$ of a center of theybobbin at heh center at he instant when the thread forms an angle $\alpha$ with the vertical.

Question 72 : The area under the velocity-time graph between any two instants &#160;$t = t_{1}$ and $t =t_{2}$&#160;gives the&#160;displacement&#160;in time $\delta t=t_{2}-t_1$ :

Question 73 : Two particles P and Q are located at distances $r_P$ and $r_Q$ respectively from the axis of a rotating discsuch that$r_P\, &gt;\,$ $r_Q$

Question 74 : An athlete completes one round of a circular track of radius $R$ in $40s$. His displacement at the end of $2$ minutes will be

Question 75 : A body slides on an inclined plane. If height of inclined plane is '$h$' and length is '$l$' and angle of inclination is $\theta$ then time is taken for travelling from upper points to lower point is

Question 76 : A stone is dropped from the top of a tower and one second later, a second stone is thrown vertically downward with a velocity $\displaystyle 20 m/s$.The second stone will overtake the first after travelling a distance of (g= $\displaystyle 10 m/s^{2}$):<br/>