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2023-02-19

A 0.45-kg football traveling at a speed of 22 m/s is caught by an 84-kg stationary receiver. If the football comes to rest in the receiver's arms, what is the magnitude of the impulse imparted to the receiver by the ball?

Jayden Landry

Recall that
$\text{Impulse}=F\Delta t=\Delta p$
In the event that the football comes to rest, its original momentum is represented by the impulse.
Then,
$\Delta p=m\nu =\frac{9.9\text{m}\cdot \text{kg}}{\text{s}}$
is the impulse imparted to the receiver by the ball, regardless of the receiver's mass.

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