A batsman hits back a ball of mass 0.15 kg straight in the direction
of the bowler without changing its initial speed of 10 ms-1. If the ball
moves linearly, then the impulse imparted on it is
(a) 3.0
(b) 2.0
(c) 1.5
(d) 1.9
Answers
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Question
A batsman hits back a ball of mass 0.15 kg straight in the direction
of the bowler without changing its initial speed of 10 ms-1. If the ball
moves linearly, then the impulse imparted on it is
(a) 3.0
(b) 2.0
(c) 1.5
(d) 1.9
Answer:
Option (a) 3.0 is your answer
Kindly refer the attachment
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Given: A batsman hits back a ball of mass 0.15 kg straight in the direction of the bowler without changing its initial speed of 10 m/s.
To find: Impulse imparted on it
Explanation: Mass of ball= 0.15 kg
Initial velocity of the ball= 10 m/s
Final velocity of the ball= -10 m/s since the ball is in exactly the opposite direction
Initial momentum= Mass* Initial velocity
= 0.15 * 10
= 1.5 kg m/s
Final momentum= Mass* Final velocity
= 0.15 * -10
= -1.5 kg m/s
Change in momentum= Initial momentum- Final
momentum
=> Change = 1.5- (-1.5)
= 3 kg m/s
Impulse imparted is equal to the change in momentum of the ball after it is hit by the batsman.
Therefore, the impulse imparted is option (a) 3 kg m/s.