A 0.133 kg baseball traveling 30.6 m/s strikes the catcher's mitt, which, in bringing the ball to rest, recoils backward 11.4 cm. What was the average force applied by the ball on the glove?
(in N)
14 posts inside of a minute by the same person.
I don't understand how to begin these problems. I'm terrible at physics. Just looking for a little help and you are so rude. If you aren't looking to help kids do/understand their homework you shouldn't be on this site DrBob222.
To find the average force applied by the ball on the glove, we can use Newton's second law of motion, which states that force is equal to the rate of change of momentum. The momentum of an object is calculated by multiplying its mass by its velocity.
The first step is to calculate the initial momentum of the baseball before it strikes the mitt. The momentum is given by the equation:
momentum = mass × velocity
Given:
Mass of the baseball (m) = 0.133 kg
Velocity of the baseball (v) = 30.6 m/s
Initial momentum = 0.133 kg × 30.6 m/s
Next, we need to calculate the final momentum when the ball comes to rest. Since the ball comes to rest, its final velocity is 0 m/s.
Final momentum = mass × velocity
Final momentum = 0.133 kg × 0 m/s
Now, we can calculate the change in momentum:
Change in momentum = Final momentum - Initial momentum
Finally, to find the average force applied by the ball on the glove, we can use the equation:
Average force = Change in momentum / Time
However, the given problem does not provide us with the time. Instead, it gives the displacement (11.4 cm) of the glove. We can assume that the glove comes to rest during this displacement and use it to find the time taken for the baseball to come to rest.
The displacement of the glove = 11.4 cm = 0.114 m
We can use the average speed formula to find the time:
Average speed = Displacement / Time
Since the ball comes to rest, the average speed is half of the initial velocity. Therefore:
Average speed = 0.5 × Initial velocity = 0.5 × 30.6 m/s
Now, we can rearrange the formula to find the time:
Time = Displacement / Average speed
Time = 0.114 m / (0.5 × 30.6 m/s)
Finally, we can substitute the calculated time into the average force equation:
Average force = Change in momentum / Time
Solving these calculations will give you the average force applied by the ball on the glove in Newtons (N).