MEDIUM
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IMPORTANT
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If the resultant force on a system of particles is non-zero, then

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Important Questions on Center of Mass

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JEE Main
IMPORTANT
In a collision between two solid spheres, the velocity of separation along the line of impact is (assume no external forces act on the system of two spheres during impact)
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JEE Main
IMPORTANT

Two small spheres of equal mass are heading towards each other with equal speeds, undergo a head-on collision (no external force acts on the system of two spheres). Then which of the following statement is correct?

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JEE Main
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A ball of mass m moves towards a moving wall of infinite mass with a speed v along the normal to the wall. The speed of the wall is u towards the ball. The speed of the ball after ‘elastic’ collision with wall is
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JEE Main
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Two masses m and 2m are placed in a fixed horizontal circular smooth hollow tube as shown. The mass m is moving with speed u and the mass 2m is stationary. After their first collision, the time elapsed for next collision is (Coefficient of restitution is, e=12)

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MEDIUM
JEE Main
IMPORTANT

A particle A moves with a speed of 10 m s-1 in a frictionless circular fixed horizontal pipe of radius 5 m and strikes the particle B of double the mass that of A. The coefficient of restitution is 12 and the particle A starts its journey at t=0. The time at which the second collision occurs is

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HARD
JEE Main
IMPORTANT
A heavy elevator is moving upwards with constant velocity 5 m sec-1. At time t=0 a ball situated at a distance of 100 m from the elevator is dropped. Find the velocity of the ball just after the collision (elastic). (Use g=10 m s-2)
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JEE Main
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Three small bodies of identical masses can move along a straight line. The central body 2 is initially at rest and bodies 1 and 3 are at a distance l and 2l from the central body, respectively. Bodies 1 and 3 move towards body 2 with speeds v0 each. The collision between 1 and 2 is perfectly elastic and the collision between bodies 2 and 3 is perfectly inelastic. After all the collisions are over,

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HARD
JEE Main
IMPORTANT

In the figure shown, a particle P strikes the inclined smooth plane horizontally and rebounds vertically. If the angle θ is 60° then, the coefficient of restitution is,

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