A 0.0420-kg hollow racquetball with an initial speed of 18.3 m/s collides with a backboard. It rebounds with a speed of 7.4 m/s.
Calculate the total impulse on the ball.
if initial speed in +x direction
impulse = change of momentum
.0420 (-7.4 - 18.3)
-10.8 is the impulse
To calculate the total impulse on the ball, we need to use the law of conservation of linear momentum. According to this law, the change in momentum of an object is equal to the impulse exerted on it.
The momentum of an object is defined as the product of its mass and velocity:
Momentum = mass × velocity
The initial momentum of the racquetball can be calculated as:
Initial momentum = mass × initial velocity
The final momentum of the racquetball can be calculated as:
Final momentum = mass × final velocity
The change in momentum can be calculated as the difference between the final and initial momenta:
Change in momentum = Final momentum - Initial momentum
Finally, the total impulse on the ball is equal to the change in momentum.
Let's calculate it step by step.
Step 1: Calculate the initial momentum.
Initial momentum = mass × initial velocity
= 0.0420 kg × 18.3 m/s
Step 2: Calculate the final momentum.
Final momentum = mass × final velocity
= 0.0420 kg × 7.4 m/s
Step 3: Calculate the change in momentum.
Change in momentum = Final momentum - Initial momentum
Step 4: Calculate the total impulse.
Total impulse = Change in momentum
Now, you can substitute the given values and perform the calculations to find the total impulse on the ball.