A major-league catcher gloves a 92-mi/h pitch and brings it to rest in 0.15 m. If the force exerted by the catcher is 803 N, what is the mass of the ball?

Solution 10P

Step 1 of 3:

A major-league catcher gloves a 92-mi/h pitch and brings it to rest in 0.15 m, the given exerted force is 803 N, calculate the mass of the ball.

Step 2 of 3:

Given data:

Initial velocity

Final velocity

Distance

Force

The corresponding kinematic equation to be used to solved the problem is

…. (1)

Hence, from the equation (1), the acceleration can be written as

Here, the negative sign indicates that the direction of acceleration and hence force is opposite to the direction of the initial velocity of the ball. But, to calculate the mass, take only the magnitude of the acceleration which is 5630 m/s2.