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Answer :
To determine the amount of work done on a 4-ounce ball to attain a speed of 94 mph, unit conversion and the work-energy principle were used, resulting in approximately 73.53 foot-pounds of work.
To calculate the work done on the 4-ounce ball to get it to a speed of 94 mph, we'll first convert units and then use the work-energy principle (the work done on an object is equal to the change in its kinetic energy).
First, we convert 94 mph to feet per second (1 mph = 1.467 ft/s):
94 mph * 1.467 ft/s = 137.898 ft/s
Next, convert the mass of the ball from ounces to pounds (1 ounce = 0.0625 pounds):
4 ounces * 0.0625 pounds/ounce = 0.25 pounds
The mass in slug units (1 slug = 32.174 pounds), because work is measured in foot-pounds:
0.25 pounds / 32.174 pounds/slug = 0.00777 slugs
Using the work-energy principle, the work (W) is the change in kinetic energy (KE), so:
[tex]W = 0.5 * m * v^2[/tex]
[tex]W = 0.5 * 0.00777 slugs * (137.898 ft/s)^2[/tex]
W = 73.53 ft-lbs (rounded to two decimal places)
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