Answer: 87.57 Joules
(A) When the bowler lifts the bowling ball from ground level to a certain height, its potential energy increases. Potential energy is the energy that an object possesses due to its position or height relative to the ground. As the ball is raised, it gains potential energy because it is now at a higher position, and this potential energy can be converted back into kinetic energy or other forms of energy when the ball is dropped.
(B) The work done to raise the ball is equal to the change in its potential energy. The formula for calculating potential energy (PE) is: PE = m * g * h
m = mass of the object (5.4 kg)
g = acceleration due to gravity (approximately 9.81 m/s²)
h = height (1.65 m)
Substitute the values into the formula: PE = 5.4 kg * 9.81 m/s² * 1.65 m ≈ 87.57 J
So, the quantity of work done to raise the ball is approximately 87.57 Joules