momentum and conservation of momentum questions with solutions

Showing 1–10 of 58 questions

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

  All systems lie on smooth horizontal surfaces. Match each case with centre-of-mass/momentum/energy behaviour.

  List 1

  1. (A) Blocks have initial velocities while spring is relaxed

     

  2. (B) Constant external force on one block of a spring system

     

  3. (C) Man walks on a large plank at constant velocity

     

  4. (D) Man jumps between two trolleys with relative speed 4 m s⁻¹

     

  5. (E) .

  List 2

  1. (P) COM will not move horizontally

  2. (Q) COM will move horizontally

  3. (R) Mechanical energy conserved

  4. (S) Mechanical energy increases

  5. (T) Linear momentum of complete system always remains constant

  Options

  • Option A

    (A-P,R,T), (B-Q,S), (C-P,S,T), (D-P,S,T)

  • Option B

    (A-Q,S), (B-P,R,T), (C-P,S,T), (D-P,S,T)

  • Option C

    (A-Q,S), (B-P,S,T), (C-P,S,T), (D-P,R,T)

  • Option D

    (A-P,S,T), (B-P,S,T), (C-Q,S), (D-P,R,T)

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

  A gun fires a 50 g bullet at 30 m s⁻¹ and recoils at 1 m s⁻¹. Mass of the gun is:

  Options

  • Option A

    15 kg

  • Option B

    30 kg

  • Option C

    1.5 kg

  • Option D

    20 kg

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

  A stationary particle breaks into two parts of masses mₐ and mᵦ which move with velocities vₐ and vᵦ respectively. The ratio of their kinetic energies (Kᵦ : Kₐ) is :

  Options

  • Option A

    vᵦ : vₐ

  • Option B

    mᵦ : mₐ

  • Option C

    mᵦvᵦ : mₐvₐ

  • Option D

    1 : 1

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

  A stationary boat of mass 100 kg carries two persons of masses 20 kg and 30 kg. Simultaneously, the 20 kg person jumps to the right with speed 5 m/s relative to the boat, while the 30 kg person jumps to the left with speed 3 m/s relative to the boat. If the magnitude of the boat's velocity is 1/N m/s, find N.

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

  A machine gun of mass 10 kg fires 20 g bullets at the rate of 180 bullets per minute with a speed of 100 m s⁻¹ each. The recoil velocity of the gun is:

  Options

  • Option A

    0.02 m s⁻¹

  • Option B

    2.5 m s⁻¹

  • Option C

    1.5 m s⁻¹

  • Option D

    0.6 m s⁻¹

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  JEE Mains30 January 2023Shift 2Evening Shift

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

  Two blocks of masses m and 2m are connected by a spring of force constant k on a smooth horizontal surface. The spring is initially compressed by x₀ and both blocks are released from rest. When the spring first reaches its natural length, the speed of the block of mass m is:

  Options

  • Option A

    x₀√[k/(3m)]

  • Option B

    x₀√[2k/(3m)]

  • Option C

    x₀√(k/m)

  • Option D

    x₀√[4k/(3m)]

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

  A spaceship moves with speed v₀ along +Y in gravity-free space and ejects one-third of its mass with speed 2v₀ along +X. Speed of the remaining part is:

  Options

  • Option A

    √13 v₀/2

  • Option B

    √5 v₀/2

  • Option C

    3v₀/2

  • Option D

    2v₀

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

  The velocity of a 2 kg body is v(t) = 2t $\hat{i}$+ t² $\hat{j}.$The momentum at t = 2 s is:

  Options

  • Option A

    (8$\hat{i}+8\hat{j}$) kg m s⁻¹

  • Option B

    2(4$\hat{i}+4\hat{j}$) kg m s⁻¹

  • Option C

    2[2(2)$\hat{i}$+(2)²$\hat{j}$] kg m s⁻¹

  • Option D

    All of the above

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

  A rifle of mass M is initially at rest and free to recoil. It fires a bullet of mass m with muzzle velocity v. Rifle velocity relative to ground is:

  Options

  • Option A

    -mv

  • Option B

    -Mv/m

  • Option C

    -mv/M

  • Option D

    -v

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