momentum and conservation of momentum questions with solutions

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• NumericmediumCenter of maas , Momentum and Collisionmomentum and conservation of momentum

  A man and trolley together have mass 90 kg. A 10 kg package is initially on the trolley, and the complete system is at rest on a smooth horizontal surface. The package is thrown horizontally with speed 6 m/s relative to the trolley. If the recoil speed of the man-trolley system is N/10 m/s, find N.

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• NumericmediumCenter of maas , Momentum and Collisionmomentum and conservation of momentum

  A body initially at rest explodes into three fragments of masses m, 2m and 3m. The m-fragment moves with velocity (12, 0) m/s and the 2m-fragment moves with velocity (0, 6) m/s. If the speed of the 3m-fragment is 4√N m/s, find N.

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• MCQeasyCenter of maas , Momentum and Collisionmomentum and conservation of momentum

  Three bodies A, B and C have equal kinetic energies and their masses are 400 g, 1.2 kg and 1.6 kg respectively. The ratio of their linear momenta is :

  Options

  • Option A

    1 : √3 : 2

  • Option B

    1 : √3 : √2

  • Option C

    √2 : √3 : 1

  • Option D

    √3 : √2 : 1

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• MCQeasyCenter of maas , Momentum and Collisionmomentum and conservation of momentum

  An artillery piece of mass M₁ fires a shell of mass M₂ horizontally. Instantaneously after the firing, the ratio of kinetic energy of the artillery to that of the shell is:

  Options

  • Option A

    M₁/(M₁ + M₂)

  • Option B

    M₂/M₁

  • Option C

    M₂/(M₁ + M₂)

  • Option D

    M₁/M₂

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• Multi-correctmediumCenter of maas , Momentum and Collisionmomentum and conservation of momentum

  Which statements about conservation of linear momentum are correct?

  Select all that apply

  • Option A

    For a block-wedge system on a smooth horizontal floor, total horizontal momentum is conserved

  • Option B

    During a very short explosion, if external impulse is negligible, total momentum immediately before and after the explosion is the same

  • Option C

    During an explosion, the momentum of every individual fragment remains constant

  • Option D

    If a gun-bullet system is initially at rest, the gun and bullet have equal and opposite momenta immediately after firing

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• MCQeasyCenter of maas , Momentum and Collisionmomentum and conservation of momentum

  A body of mass 1000 kg is moving horizontally with a velocity 6 m/s. If 200 kg extra mass is added, the final velocity (in m/s) is:

  Options

  • Option A

    6

  • Option B

    2

  • Option C

    3

  • Option D

    5

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• MCQmediumCenter of maas , Momentum and Collisionmomentum and conservation of momentum

  Two blocks A and B of masses 10 kg and 5 kg are on a frictionless table. Block A moves at 3 m/s toward block B, which is initially at rest and has a spring of force constant 3000 N/m attached to it as shown in the original figure. At maximum compression, both blocks move together instantaneously. The spring compression is:

  

  Options

  • Option A

    0.1 m

  • Option B

    0.3 m

  • Option C

    0.2 m

  • Option D

    0.4 m

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• NumericeasyCenter of maas , Momentum and Collisionmomentum and conservation of momentum

  A man of mass 20 kg stands on a stationary boat of mass 80 kg. He jumps horizontally with speed 5 m/s relative to the boat. Neglect horizontal external forces. If the recoil speed of the boat is N m/s, find N.

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• NumericeasyCenter of maas , Momentum and Collisionmomentum and conservation of momentum

  Two skaters of masses 2m and 3m are initially at rest on frictionless ice. They push each other apart. Their relative speed after separation is 10 m/s. If the speed of the lighter skater is N m/s, find N.

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• NumericmediumCenter of maas , Momentum and Collisionmomentum and conservation of momentum

  Two particles of masses 3.4 kg and 2.5 kg have initial speeds 5 m·s⁻¹ and 12 m·s⁻¹, respectively, and move with constant accelerations. During the 5th second, they cover 104 m and 129 m, respectively. After 10 s, their momentum ratio p₁ ÷ p₂ is x ÷ 8. Find x.

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