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.