Question

A hockey ball of mass 200 g travelling at 10 ms$^{-1}$ is truck by a hockey stick, so as to return it along its original path with a velocity of 5ms$^{-1}$ . Calculate the change in momentum that iccured in the motion of the ball, by the force applied by the hockey stick.​

Answer 1

Correct Question:

A hockey ball of mass 200 g travelling at 10 ms$^{-1}$ is truck by a hockey stick, so as to return it along its original path with a velocity of 5ms$^{-1}$ . Calculate the change in momentum that occured in the motion of the ball, by the force applied by the hockey stick.

Given:

Mass of the hockey ball ( m ) = 200 g = 0.2 kg

Initial velocity of the ball ( u ) = 10 ms$^{–1}$

Final velocity of the ball ( v ) = –5 ms$^{-1}$

To find:

Change in momentum that occured in the motion of the ball, by the fotce applied by the hockey stick.

Solution:

Initial momentum of the ball ${(p_1)}$ = mass × initial velocity

= mu

$= 0.2 \: kg \times 10 \: ms {}^{ - 1} = 2 \: kg \: ms {}^{ - 1}$

Now, final momentum of the ball = ${(p_2)}$ = mass × final velocity

$= 0.2 \: kg \: \times ( - 5 \: ms {}^{ - 1} ) \\ \\ = - 1 \: kg \: ms {}^{ - 1}$

Hence, change in momentum of ball

= ${(P_1)}$ – ${(P_2)}$

$= ( - 1 \: kg \: ms {}^{ - 1} ) - (2 \: kg \: ms {}^{ - 1} ) \\ \\ = - 3 \: kg \: ms {}^{ - 1} .$

Answer 2

Answer:

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