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A batsman hits back a ball straight in the direction of the bowler without changing its initial speed of 12 m/s . If the mass of the ball is 0.15 kg, the impulse imported on the ball is

  • a)
    4.2 Ns

  • b)
    3.6 Ns

  • c)
    2.8 Ns

  • d)
    1.6 Ns

Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
A batsman hits back a ball straight in the direction of the bowler wit...
Understanding Impulse
Impulse is defined as the change in momentum of an object when a force is applied over a period of time. It can also be calculated using the formula:
Impulse = Change in Momentum = Final Momentum - Initial Momentum
Given Data
- Initial Speed of Ball (u): 12 m/s (towards the bowler)
- Final Speed of Ball (v): -12 m/s (back towards the batsman)
- Mass of Ball (m): 0.15 kg
Calculating Momentum
- Initial Momentum (p_initial):
p_initial = m * u = 0.15 kg * 12 m/s = 1.8 kg·m/s
- Final Momentum (p_final):
p_final = m * v = 0.15 kg * (-12 m/s) = -1.8 kg·m/s
Finding Change in Momentum
- Change in Momentum (Δp):
Δp = p_final - p_initial
= (-1.8 kg·m/s) - (1.8 kg·m/s)
= -3.6 kg·m/s
Calculating Impulse
Since impulse is equal to the change in momentum:
Impulse = Δp = -3.6 kg·m/s
The negative sign indicates a change in direction, but impulse is typically expressed as a positive value in magnitude.
Conclusion
Thus, the impulse imparted on the ball is 3.6 Ns, which corresponds to option B. This value represents the total effect of the force acting on the ball during the collision with the bat.
Free Test
Community Answer
A batsman hits back a ball straight in the direction of the bowler wit...
Impulse = force × time Ns
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A batsman hits back a ball straight in the direction of the bowler without changing its initial speed of 12 m/s . If the mass of the ball is 0.15 kg, the impulse imported on the ball isa)4.2 Nsb)3.6 Nsc)2.8 Nsd)1.6 NsCorrect answer is option 'B'. Can you explain this answer? for Class 9 2026 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about A batsman hits back a ball straight in the direction of the bowler without changing its initial speed of 12 m/s . If the mass of the ball is 0.15 kg, the impulse imported on the ball isa)4.2 Nsb)3.6 Nsc)2.8 Nsd)1.6 NsCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 9 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A batsman hits back a ball straight in the direction of the bowler without changing its initial speed of 12 m/s . If the mass of the ball is 0.15 kg, the impulse imported on the ball isa)4.2 Nsb)3.6 Nsc)2.8 Nsd)1.6 NsCorrect answer is option 'B'. Can you explain this answer?.
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