A ball of mass 100 g is moving with a velocity of 10 m $s^{- 1}$ . The force of the blow by the bat acts for 0.01 seconds. What is the force exerted on the ball by the bat if the ball retraces its path with same speed?

100 N

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200 N

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300 N

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400 N

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Solution

The correct option is B 200 N
Initial velocity of ball $u = - 10 m / s$
Initial momentum $P_{i} = m u = 0.1 \times (- 10) = - 1 k g m / s$
Final velocity of ball $v = 10 m / s$
Final momentum $P_{f} = m v = 0.1 \times 10 = 1 k g m / s$
Time of action $t = 0.01 s$
Using $F \times t = P_{f} - P_{i}$
Or $F \times 0.01 = 1 - (- 1) = 2$
$⟹ F = 200 N$

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A ball of mass 100 g is moving with a velocity of 10 m s−1. The force of the blow by the bat acts for 0.01 seconds. What is the force exerted on the ball by the bat if the ball retraces its path with same speed?

The correct option is B 200 NInitial velocity of ball u=−10 m/sInitial momentum Pi=mu=0.1×(−10)=−1 kg m/sFinal velocity of ball v=10 m/sFinal momentum Pf=mv=0.1×10=1 kg m/sTime of action t=0.01 sUsing F×t=Pf−PiOr F×0.01=1−(−1)=2⟹ F=200 N

A ball of mass 100 g is moving with a velocity of 10 m $s^{- 1}$ . The force of the blow by the bat acts for 0.01 seconds. What is the force exerted on the ball by the bat if the ball retraces its path with same speed?