A stationary ball weighing 0.25kg acquires a speed of 10m/s when hit b...
Initial momentum of the ball,
Pi = 0
Final momentum of the ball,
Pf = mv
⇒ 0.25×10 = 2.5 kg m/s
Impulse imparted on the ball,
I = Pf − Pi
⇒ I = 2.5 − 0 = 2.5 N s
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A stationary ball weighing 0.25kg acquires a speed of 10m/s when hit b...
To solve this problem, we can use the principle of impulse-momentum. The impulse imparted to an object is equal to the change in momentum of the object.
Momentum is defined as the product of an object's mass and its velocity. In this case, the ball has a mass of 0.25 kg and acquires a speed of 10 m/s when hit by the hockey stick. Therefore, the initial momentum of the ball is zero (since it is stationary) and the final momentum is given by:
Final momentum = mass × final velocity
= 0.25 kg × 10 m/s
= 2.5 kg·m/s
The change in momentum is the difference between the final momentum and the initial momentum:
Change in momentum = Final momentum - Initial momentum
= 2.5 kg·m/s - 0 kg·m/s
= 2.5 kg·m/s
According to the principle of impulse-momentum, the impulse imparted to the ball is equal to the change in momentum. Therefore, the impulse imparted to the ball is 2.5 kg·m/s.
Hence, the correct answer is option C, 2.5 Ns.