List of top Physics Questions on Elastic and inelastic collisions

Two putty balls of equal mass moving with equal velocity in mutually perpendicular directions, stick together after collision. If the balls were initially moving with a velocity of $45\sqrt{2}$ m/sec each, the velocity of their combined mass after collision is (in m/sec).
In analysing the problems of inelastic collisions, the law of conservation of momentum and the law of conservation of mechanical energy are to be employed Since the laws of conservation of momentum and mechanical energy are fundamental laws, they should hold good in any situation. Which of the following is true?
A smooth sphere of mass M moving with velocity u directly collides elastically with another sphere of mass m at rest. After collision, their final velocities are V and v respectively. The value of v is
Two particles A and B, move with constant velocities $\vec{v_1}$ and $\vec{v_2}$. At the initial moment their position vectors are $\vec{r_1}$, and $\vec{r_2}$ respectively. The condition for particles A and B for their collision is

Given below are two statements, one is labelled as Assertion A and the other is labelled as Reason R
Assertion \((A)\) : 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 \((R)\) : In an elastic collision, the linear momentum of the system is conserved.

In the light of the above statements, choose the correct answer from the options given below
 

In an inelastic collision
A steel wire is $1 \,m$ long and has $ 1\, mm^2 $ area of cross-section. If it takes $200\, N$ to stretch thin wire by $1 \,mm$, how much force will be required to stretch a wire of same material and diameter from its normal length of $10\, m$ to a length of $10.02 \,m$?
Two identical masses m moving with velocities $u₁$ and $u₂$ collide perfectly inelastically. Find the loss in energy.
The elastic energy stored per unit volume in a stretched wire is
A chain of mass M is placed on a smooth table with 1/n of its length hanging over the edge. The work done in pulling the hanging portion of the chain back to the surface of the table is:
A particle of mass 10 kg moving eastwards with a speed 5 m s⁻¹ collides with another particle of same mass moving northwards with the same speed. The two particles coalesce on collision. The new particle of mass 20 kg will move in the north-east direction with velocity:
In the figure, pendulum bob on left side is pulled aside to a height h from its initial position. After it is released it collides with the right pendulum bob at rest, which is of same mass. After the collision the two bobs stick together and raise to a height
Two balls of same mass each m are moving with same velocities v on a smooth surface as shown in figure. If all collisions between the masses and with the wall are perfectly elastic, the possible number of collisions between the bodies and wall together is
A sphere of mass m moving with constant velocity $ \mu $ , collides with another stationary sphere of same mass. If e is the coefficient of restitution, the ratio of the final velocities of the first and second spheres is
Which of the following is not an example of perfectly inelastic collision?
A body of mass m strikes another body at rest of mass $ \frac{m}{9} $ . Assuming the impact to be inelastic the fraction of the initial kinetic energy transformed into heat during the contact is
A body of mass 5 kg makes an elastic collision with another body at rest and continues to move in the original direction after collision with a velocity equal to $ \frac{1}{10} $ th of its original velocity. Then the mass of the second body is
A sphere of mass m moving with constant velocity hits another stationary sphere of the same mass. If e is the coefficient of restitution, aid the ratio of velocities of the two spheres after die collision will be
Six marbles are lined Up in a straight groove made on a horizontal frictionless surface as shown below. Two similar marbles in contact, with a common velocity v collide with a row of 6 marbles from left. Which of the following is observed?
All ball of mass $ m_{1} $ collides elastically and head on with another ball of mass $ m_{2} $ initially at rest. In which of the following cases transfer of momentum will be maximum?
Two identical ball bearings in contact with each other and resting on a frictionless table are hit headon by another ball bearing of the same mass moving initially with a speed $V$ as shown in figure.
If the collision is elastic, which of the following is a possible result after collision?
Two identical balls $A$ and $B$ are released from the positions shown in the figure. They collide elastically on horizontal portion $MN$. The ratio of heights attained by $A$ and $B$ after collision will be (neglect friction)
Two $H$ atoms in the ground state collide inelastically. The maximum amount by which their combined kinetic energy is reduced is
A ball moving with a velocity $v$ hits a massive wall moving towards the ball with a velocity $u$ . An elastic impact lasts for a time $\Delta t$ .
Two identical balls A and B collide head on elastically. If the velocity of A and B before collision are $0.5\, ms^{-1}$ and 0.3 $ms^{-1}$ respectively, then their velocities after collision will be