A 111 gram tennis ball strikes the court ground vertically with a speed of 3.6 m/s. If the ball bounces back with a speed of 2.2 m/s vertically upward, find the magnitude of the change in the tennis ball’s momentum, in kg m/s.
To find the magnitude of the change in the tennis ball's momentum, we can use the principle of conservation of momentum.
The momentum of an object can be calculated by multiplying its mass (m) by its velocity (v).
Initial Momentum (before the bounce) = mass * initial velocity = (0.111 kg) * (3.6 m/s)
Final Momentum (after the bounce) = mass * final velocity = (0.111 kg) * (2.2 m/s)
The change in momentum can be calculated by subtracting the initial momentum from the final momentum:
Change in Momentum = Final Momentum - Initial Momentum
= (0.111 kg * 2.2 m/s) - (0.111 kg * 3.6 m/s)
Now we can calculate the magnitude of the change in momentum:
Magnitude of Change in Momentum = |Change in Momentum|
Let's substitute the values to get the final answer:
Magnitude of Change in Momentum = | (0.111 kg * 2.2 m/s) - (0.111 kg * 3.6 m/s) |
Magnitude of Change in Momentum = | 0.2442 kg m/s - 0.3996 kg m/s |
Magnitude of Change in Momentum = | -0.1554 kg m/s |
Since we want the magnitude, we take the absolute value of the result:
Magnitude of Change in Momentum ≈ 0.1554 kg m/s
Therefore, the magnitude of the change in the tennis ball's momentum is 0.1554 kg m/s.