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Center of maas , Momentum and Collision questions with solutions
Practice Center of maas , Momentum and Collision for JEE Main, JEE Advanced, NEET, and Classes 11–12. Attempt each question, then open it for the full solution.
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- NumericeasyCenter of maas , Momentum and Collision
Two particles of masses 2m and 3m are connected by a light spring and are initially at rest on a smooth horizontal surface, separated by 5 m. The spring pulls them toward each other until they meet. If the 2m particle moves a distance N m before meeting, find N.
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Open question & full solution → - NumericmediumCenter of maas , Momentum and Collision
A 1 kg projectile is initially carried on a 9 kg gun-trolley system. The complete 10 kg system moves with speed 4 m/s on a smooth horizontal track. The projectile is fired forward with speed 20 m/s relative to the trolley. If the speed of the trolley after firing is N m/s, find N.
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Open question & full solution → - NumericmediumCenter of maas , Momentum and Collision
A particle of mass 2 kg moves with speed 5 m/s. An impulse changes the direction of its velocity through 120°, but its speed remains unchanged. If the magnitude of the impulse is 10√N N·s, find N.
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Open question & full solution → - NumericeasyCenter of maas , Momentum and Collision
A 2 kg ball strikes a horizontal floor vertically downward with speed 8 m/s. The coefficient of restitution between the ball and floor is 1/2. Neglect the impulse due to gravity during the short collision. If the impulse delivered by the floor is N N·s, find N.
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Open question & full solution → - NumericeasyCenter of maas , Momentum and Collision
Two particles of masses 2m and 3m move along the x-axis. At an instant their velocities are +10 m/s and -5 m/s respectively. If the velocity of the centre of mass is N m/s, find N.
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Open question & full solution → - NumericeasyCenter of maas , Momentum and Collision
A rod extends from x = 0 to x = L and has linear mass density λ(x) = kx². If x(CM) = NL/4, find N.
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Open question & full solution → - NumericmediumCenter of maas , Momentum and Collision
Three particles of masses 1 kg, 2 kg and 3 kg have velocities v₁ = (6, 2) m/s, v₂ = (-3, 4) m/s and v₃ = (2, -2) m/s respectively. If the velocity of the centre of mass is v(CM) = (N, 2/3) m/s, find N.
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Open question & full solution → - NumericeasyCenter of maas , Momentum and Collision
A ball approaches a smooth horizontal floor with velocity components vx = 6 m/s and vy = -8 m/s. The coefficient of restitution with the floor is e = 1/2. If its speed immediately after collision is 2√N m/s, find N.
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Open question & full solution → - NumericmediumCenter of maas , Momentum and Collision
A ball strikes a smooth fixed vertical wall with speed 10 m/s. Its velocity makes an angle 60° with the normal to the wall. The coefficient of restitution is e = 3/5. If its speed just after collision is 2√N m/s, find N.
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Open question & full solution → - NumericeasyCenter of maas , Momentum and Collision
Three blocks of masses 2 kg, 3 kg and 5 kg form a system on a smooth horizontal surface. External horizontal forces of 40 N to the right and 10 N to the left act on the system. If the acceleration of the centre of mass is N m/s², find N.
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