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11 grade physics others

A hockey ball of mass 200g traveling at 10m/s is struck by a hockey stick so as to return it along its original path with a velocity of 5m/s. Calculate the change of momentum that occurred in the motion of the hockey ball by the force applied by the hockey stick.

Profile image of Aniket Singh
1 Year agoGrade
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1 Answer

Profile image of Askiitians Tutor Team
1 Year ago

To calculate the change in momentum that occurred in the motion of the hockey ball due to the force applied by the hockey stick, you can use the following formula:

Change in momentum (Δp) = Final momentum (Pf) - Initial momentum (Pi)

First, let's calculate the initial momentum (Pi) of the hockey ball before it was struck by the stick. The formula for momentum is:

Momentum (p) = mass (m) × velocity (v)

Given:

Mass of the hockey ball (m) = 200 grams = 0.2 kg (since 1 kg = 1000 grams)
Initial velocity (before being struck) of the hockey ball (Vi) = 10 m/s
Pi = m × Vi
Pi = 0.2 kg × 10 m/s
Pi = 2 kg·m/s

Now, let's calculate the final momentum (Pf) of the hockey ball after being struck by the stick. The final velocity (Vf) is given as 5 m/s.

Pf = m × Vf
Pf = 0.2 kg × 5 m/s
Pf = 1 kg·m/s

Now, we can calculate the change in momentum (Δp):

Δp = Pf - Pi
Δp = 1 kg·m/s - 2 kg·m/s
Δp = -1 kg·m/s

The change in momentum that occurred in the motion of the hockey ball due to the force applied by the hockey stick is -1 kg·m/s. The negative sign indicates that the momentum of the ball decreased as a result of the collision with the stick.