Center of maas , Momentum and Collision questions with solutions

Showing 1–10 of 251 questions

• MCQmediumCenter of maas , Momentum and Collisioncenter of mass and question based on it

  For a rod of length 3 m with linear density λ = 2 + x, the position of centre of gravity is:

  Options

  • Option A

    7/2 m

  • Option B

    12/7 m

  • Option C

    10/7 m

  • Option D

    9/7 m

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• MCQmediumCenter of maas , Momentum and Collisioncollision and types of collision

  A ball hits the floor and rebounds after an inelastic collision. Which statement is correct?

  Options

  • Option A

    Momentum of the ball is the same before and after.

  • Option B

    Mechanical energy of the ball is conserved.

  • Option C

    Total momentum of ball + Earth is conserved.

  • Option D

    Total energy of ball + Earth is conserved.

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

  A bag of mass M hangs by a long thread and a bullet of mass m moving horizontally with speed v gets caught in the bag. For the combined system (bag + bullet), which statements are correct?

  Select all that apply

  • Option A

    Momentum is mMv/(M+m)

  • Option B

    Kinetic energy is ½Mv²

  • Option C

    Momentum is mv

  • Option D

    Kinetic energy is m²v²/[2(M+m)]

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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 Collisioncenter of mass and question based on it

  Three masses lie on the x-axis: 300 g at the origin, 500 g at x=40 cm and 400 g at x=70 cm. Find the centre-of-mass distance from the origin.

  Options

  • Option A

    40 cm

  • Option B

    45 cm

  • Option C

    50 cm

  • Option D

    30 cm

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• MCQmediumCenter of maas , Momentum and Collisionimpuse and question based on it

  A 1 kg ball hits the floor vertically downward at 25 m s⁻¹ and rebounds upward at 10 m s⁻¹. Impulse on the ball is:

  Options

  • Option A

    35 kg m s⁻¹ downward

  • Option B

    35 kg m s⁻¹ upward

  • Option C

    30 kg m s⁻¹ downward

  • Option D

    30 kg m s⁻¹ upward

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• Multi-correctmediumCenter of maas , Momentum and Collisioncollision and types of collision

  Balls A (1 kg) and B (2 kg) move at 21 m s⁻¹ and 4 m s⁻¹ in opposite directions and collide head-on. After collision A moves at 1 m s⁻¹ in the same direction. Which statements are correct?

  Select all that apply

  • Option A

    Velocity of B after collision is 6 m s⁻¹ opposite to its initial direction.

  • Option B

    Coefficient of restitution is 0.2.

  • Option C

    Loss of kinetic energy is 200 J.

  • Option D

    Impulse between the balls is 40 N s.

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• MCQmediumCenter of maas , Momentum and Collisioncollision and types of collision

  A projectile is launched with speed u at angle α from a point distance d from a smooth vertical wall. After rebounding it returns to the launch point. The maximum d for which this is possible is:

  Options

  • Option A

    eu²/[g(1+e)]

  • Option B

    u²/[g(1+e)]

  • Option C

    eu²/[2g(1+e)]

  • Option D

    u²sin2α/g

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• MCQmediumCenter of maas , Momentum and Collisioncenter of mass and question based on it

  From a circular disc of radius 4R, two small discs of radius R are cut off as shown at top and right. Centre of mass of the remaining structure is:

  

  Options

  • Option A

    (R/5)$\hat{i}$+ (R/5)$\hat{j}$

  • Option B

    -(R/5)$\hat{i}$+ (R/5)$\hat{j}$

  • Option C

    -(3R/14)$\left(\hat{i}+\hat{j}\right)$

  • Option D

    None of these

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• NumericeasyCenter of maas , Momentum and Collisioncollision and types of collision

  Three identical smooth balls A, B and C lie on a straight line. B and C are initially at rest. A moves toward B with speed 12 m/s. All collisions are perfectly elastic and the balls are identical. If the final speed of C is N m/s, find N.

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