A catcher “gives” with a baseball when catching it.
If the baseball exerts a force of 460 N on the
glove such that the glove is displaced 5.85 cm,
how much work is done by the ball? Answer
in units of J.
460 N * .0585 m
To calculate the work done by the ball, we can use the formula:
Work = Force x Distance
Given that the force exerted by the ball on the glove is 460 N and the distance of displacement is 5.85 cm, we need to convert the distance to meters before calculating the work.
1 meter = 100 centimeters
So, the distance in meters is:
5.85 cm = 5.85 / 100 meters = 0.0585 meters
Now we can calculate the work:
Work = 460 N x 0.0585 meters = 26.91 J
Therefore, the work done by the ball is 26.91 Joules.
To find the work done by the ball, we can use the formula:
Work = Force x Displacement x cos(angle)
In this case, the force exerted by the ball on the glove is 460 N, and the displacement of the glove is 5.85 cm.
However, we also need to determine the angle between the force and the displacement. Since the catcher is "giving" with the ball, it means that the force and displacement vectors are in the same direction. In this case, the angle between them is 0 degrees.
Now, we can calculate the work:
Work = 460 N x 5.85 cm x cos(0)
= 460 N x 0.0585 m x 1
= 26.97 J
Therefore, the work done by the ball is 26.97 Joules.