Question 1 :
A completely inelastic collision is one in which the two colliding particles-
Question 3 :
Two balls $A$ and $B$ having masses $m\ \text{kg}$ and $2 m\ \text{kg,}$ moving with speeds $21\ \text{m/s}$ and $4\ \text{m/s}$ respectively in opposite direction, collide head on. After collision $A$ moves with a speed of $1\ \text{m/s}$ in the same direction, then incorrect statement is :
Question 4 :
The coefficient of restitution e for a perfectly inelastic collision is:
Question 5 :
A ball of mass M moving with a velocity V collides head on elastically with another of same mass but moving with a velocity v in the opposite direction. After collision,<br>
Question 6 :
Find the gravitational potential energy of a $1kg$ mass kept at a height of $5m$ above the ground if $g=10ms^{-2}$.
Question 7 :
A bucket filled with water is tied to a rope of length $0.5\ m$ and is rotated in a circular path in vertical plane. the least velocity it should have at the lowest point of circle so that water does not spill is $(g=10ms^{-2})$:<br/><br/>
Question 8 :
A tennis ball is thrown from the height h above the ground. If the ball strikes to the ground with elastic collision,what height will height will the ball achieve after the first collision?
Question 9 :
The average power required to lift a $100kg$ mass through a height of $50$ metres in approximately $50$ seconds would be ( in J/s) <br/>
Question 10 :
A lighter body moving with a velocity $v$ collides with a heavier body at rest. Then :
Question 11 :
A machine has an efficiency of $25$%. Energy is fed into the machine at the rate of $1 kw$. The output power of machine is:-
Question 12 :
 A body $P$  moving with a velocity of $20$ms$^{-1}$ collides with another body $Q$ of same mass at rest. After collision $P$ comes to rest. What is the velocity of the body $Q$ ?<br/>
Question 13 :
A box of weight $150kgf$ has gravitational potential energy stored in it equal to $14700J$. Find the height of the box above the ground. (Take $g=9.8N$ $kg^{-1}$)
Question 14 :
 A bullet of mass 20 gm is fired from a rifle of mass 20 kg with a muzzle velocity of $200\ ms^{-1}$. Find the velocity of recoil of the rifle.<br/>
Question 15 :
A man of 30 kg jumps up to a height of 2 m . What is his potential energy at the highest point ?
Question 16 :
 The mass of a loaded truck $10$ tonnes is going at a speed of $20 \ kmph$. A box of mass $2$ tonnes slips from it and falls on the road. Find the final velocity of truck (assume that the power of the engine is constant) ?<br/>
Question 18 :
A stationary cannon fires a cannonball. Which of the following is NOT true immediately after the cannonball is fired?
Question 19 :
A force acts on a $2\ kg$ object so that its position is given as a function of time as $x = 3t^2 + 5$. What is the work done by this force in first $5$ seconds ?
Question 20 :
A mass $m$ rests at height $2h$ above the floor, while a mass $2m$ rests at a height of $3h$. How much more gravitational potential energy does $2m$ have compared to $m$ if the gravitational field is uniform?
Question 21 : <p>Two pendulum bobs of mass $m$ and  $2\ m$ collide elastically at the lowest point in their motion. If both the balls are released from height $H$ above the lowest point. The velocity of the bob of mass $m$ just after collision is :</p>
Question 22 :
Calculate work done on object where applied force is $10N$ and distance is $10m$:
Question 23 :
Two point masses $1$ and $2$ move with uniform velocities ${ v }_{ 1 }$ and ${ v }_{ 2 }$ respectively. Their initial position vectors are ${ r }_{ 1 }$ and ${ r }_{ 2 }$, respectively. Which of the following should be satisfied for the collision of the point masses?
Question 24 :
A force applied by the engine of a train of mass 2.05 x $10^{6} kg$ changes its velocity from 5 $ms^{-1}$ to 25  $ms^{-1}$ in 5 minutes. The power of the engine is then<br/>
Question 25 :
A neutron moving with velocity u collides with a stationary $\alpha -particle$ The velocity of the neutron after collision is
Question 26 :
A ball which is at rest is dropped from height $h$ metre. As it bounces off the floor, its speed is $80$% of what it was just before touching the ground. The ball will then rise to nearly a height.<br/>
Question 27 :
Assertion: In an elastic collision between two bodies, the relative speed of the bodies after collision is equal to the relative speed before the collision.
Reason: In an elastic collision, the linear momentum of the system is conserved.
Question 28 :
A moving body with a mass $m_1$ and velocity u strikes a stationary body of mass $m_2$. The masses $m_1$ and $m_2$ should be in the ratio $m_1/m_2$ so as to decrease the velocity of the first body to 2u/3 and giving a velocity of v to $m_2$ assuming a perfectly elastic impact. Then the ratio $m_1/m_2$ is :<br/>
Question 29 :
The principle of conservation of linear momentum can be strictly applied during a collision between two particles provided the time of impact is
Question 30 :
A particle is kept at rest at the top of a sphere of diameter $42m$. When disturbed slightly, it slides down. At what height $h$ from the bottom, the particle will leave the sphere.
Question 31 :
A force $F=-6{x}^{3}$ is acting on a block moving along x-axis. Work done by this force is:
