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A ball of mass M is thrown vertically up in the air with a speed of v. The momentum of the ball when it reaches the maximum height will be-
1. Mv
2. M(g-v)
3. M(g+v)
4. zero

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Best answer
Correct Answer - Option 4 : zero

The correct answer is option 4) i.e. zero

CONCEPT:

  • Momentum: Momentum is the impact due to a moving object of mass and velocity v.

The momentum (p) of an object is expressed as:

⇒ p = mv

EXPLANATION:

  • When the ball of mass M is thrown vertically upward with an initial speed v, its speed decreases continuously till it becomes zero.

  • Thereafter, the ball has zero velocity at the maximum height. It then begins to fall downward and attains the speed v again before striking the ground.

  • Therefore, the momentum of the ball is p = M × 0 = zero at maximum height.

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