Center of maas , Momentum and Collision questions with solutions

Showing 1–10 of 251 questions

• Multi-correctmediumCenter of maas , Momentum and CollisionLinear Momentum & Its Conservation

  A block is projected with speed v₀ onto a smooth horizontal surface leading to a wedge on which friction is present. The block rises to height h and comes to rest relative to the wedge at t = t₀. From t = 0 to t₀, which statements are correct?

  

  Select all that apply

  • Option A

    Work done by friction on the block is negative.

  • Option B

    Work done by friction on the wedge is negative.

  • Option C

    Work done by block on the wedge is positive.

  • Option D

    Work done by wedge on the block is positive.

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• MCQmediumCenter of maas , Momentum and CollisionVariable Mass Systems & Rocket Motion

  A rocket moves in deep space with negligible external force. Its exhaust speed relative to the rocket is u. Its mass decreases from $M_0$ to M. The increase in the rocket's speed is:

  Options

  • Option A

    u ln($M_0$/M)

  • Option B

    u($M_0$-M)/M

  • Option C

    u ln(M/$M_0$)

  • Option D

    uM/$M_0$

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• MatchmediumCenter of maas , Momentum and CollisionCollisions: Elastic & Inelastic

  Two bodies collide head-on. Match each velocity-time graph in Column-I with the physical situation in Column-II.

  List 1

  1. 

  2. 

  3. 

  4. 

  5. (E)

  List 2

  1. 

  2. 

  3. 

  4. 

  5. 

  Options

  • Option A

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

  • Option B

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

  • Option C

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

  • Option D

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

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• MCQmediumCenter of maas , Momentum and CollisionLinear Momentum & Its Conservation

  A 12 kg bomb explodes into 4 kg and 8 kg pieces. The 8 kg piece moves at 6 m s⁻¹. The kinetic energy of the 4 kg piece is:

  Options

  • Option A

    48 J

  • Option B

    32 J

  • Option C

    24 J

  • Option D

    288 J

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• MCQmediumCenter of maas , Momentum and CollisionLinear Momentum & Its Conservation

  Two bodies of masses M₁ and M₂ have equal kinetic energies. If their momenta are P₁ and P₂, then P₁:P₂ is:

  Options

  • Option A

    M₁:M₂

  • Option B

    M₁²:M₂²

  • Option C

    M₂:M₁

  • Option D

    √M₁:√M₂

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• MCQmediumCenter of maas , Momentum and CollisionLinear Momentum & Its Conservation

  A shell explodes during flight into four unequal parts. Which quantity is conserved during the brief explosion?

  Options

  • Option A

    Potential energy

  • Option B

    Momentum

  • Option C

    Kinetic energy

  • Option D

    Both potential and kinetic energy

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• MCQeasyCenter of maas , Momentum and CollisionCentre of Mass & Its Calculation

  Two objects of masses 10 kg and 20 kg are attached to the ends of a 10 m rigid rod of negligible mass. Find the distance of the centre of mass from the 10 kg mass.

  Options

  • Option A

    20/3 m

  • Option B

    10 m

  • Option C

    5 m

  • Option D

    10/3 m

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• MCQmediumCenter of maas , Momentum and CollisionCollisions: Elastic & Inelastic

  A smooth sphere has velocity 3i + j just before hitting a vertical wall parallel to j. Coefficient of restitution with wall is 1/3. Its velocity after impact is:

  

  Options

  • Option A

    $\hat{i}+\hat{j}$

  • Option B

    3$\hat{i}$- (1/3)$\hat{j}$

  • Option C

    -$\hat{i}+\hat{j}$

  • Option D

    $\hat{i}-\hat{j}$

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• MCQeasyCenter of maas , Momentum and CollisionMotion of Centre of Mass & Newton's Second Law

  Sachin (55 kg) and Kapil (65 kg) sit at the two ends of a 3.0 m long boat of mass 100 kg at rest in still water. Sachin walks to Kapil. The boat is displaced by:

  Options

  • Option A

    0 m

  • Option B

    0.75 m

  • Option C

    3.0 m

  • Option D

    2.3 m

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• MCQmediumCenter of maas , Momentum and CollisionCentre of Mass & Its Calculation

  A thin uniform sheet is bounded by x=a and y=±kx² as shown. The x-coordinate of its centre of mass is:

  

  Options

  • Option A

    a/2

  • Option B

    2a/3

  • Option C

    3a/4

  • Option D

    4a/5

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