MEDIUM
JEE Main/Advance
IMPORTANT
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A particle moving horizontally collides with a fixed plane inclined at 60° to the horizontal. If it bounces vertically, the coefficient of restitution is

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Important Questions on Centre of Mass, Momentum and Collisions

MEDIUM
JEE Main/Advance
IMPORTANT
A ball of mass 2 m impinges directly on a ball of mass m, which is at rest. If the velocity with which the larger ball impinges be equal to the velocity of the smaller mass after impact then the coefficient of restitution:-
MEDIUM
JEE Main/Advance
IMPORTANT
A body of mass 2kg is projected upward from the surface of the ground at t=0 with a velocity of 20 m s-1. One second later a body B, also of mass 2kg, is dropped from a height of 20 m. If they collide elastically, then velocities just after collision are:-
MEDIUM
JEE Main/Advance
IMPORTANT

A ball of mass 1kg strikes a heavy platform, elastically, moving upwards with a velocity of 5 m s-1. The speed of the ball just before the collision is 10 m s-1 downwards. Then the impulse imparted by the platform on the ball is:-

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EASY
JEE Main/Advance
IMPORTANT
10 g rubber ball and a 10 g clay ball are each thrown at a wall with equal speeds. The rubber ball bounces; the clay ball sticks. Which ball receives the greater impulse from the wall?
EASY
JEE Main/Advance
IMPORTANT
Two friends are sitting in a stationary boat. At t=30 s the person at the front tosses a sack to the person in the rear, who catches the sack 0.2 s later. Which plot in figure shows the velocity of the boat as a function of time? Positive velocity is forward, negative velocity is backward. Neglect any drag force on the boat from the water:-
HARD
JEE Main/Advance
IMPORTANT
Two blocks, with masses m1=2.5 kg and m2=14 kg, approach each other along a horizontal, frictionless track. The initial velocities of the blocks are v1=12.0 m s-1 to the right and v2=3.4 m s-1 to the left. The two blocks then collide and stick together. Which of the graphs could represent the force of block 1 on block 2 during the collision?
EASY
JEE Main/Advance
IMPORTANT

A small puck is sliding to the right with momentum pi on a horizontal, frictionless surface, as shown in figure. A force is applied to the puck for a short time and its momentum afterward is pf. Which lettered arrow shows the direction of the impulse that was delivered to the puck?

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EASY
JEE Main/Advance
IMPORTANT
A smooth sphere is moving on a horizontal surface with velocity vector 3i^+j^ immediately before it hits a vertical wall. The wall is parallel to the vector j^ and the coefficient of restitution between the wall and sphere is 13. The velocity vector of the sphere after it hits the wall is:-