Final answer:
The gravitational potential energy of the soccer ball at a height of 3.35 m above the ground is approximately 3.62 joules, calculated using the formula PE = mgh with the mass of the ball, the acceleration due to gravity, and the given height.
Step-by-step explanation:
The gravitational potential energy of an object is calculated using the formula PE = mgh, where m is the mass of the object, g is the acceleration due to gravity (approximately 9.81 m/s² on Earth), and h is the height of the object above the reference point.
In this case, to find the gravitational potential energy of the soccer ball at a height of 3.35 m, we plug in the given values into the formula:
PE = 0.1095 kg × 9.81 m/s² × 3.35 m
PE = 3.6198725 J
Therefore, the gravitational potential energy of the soccer ball when it is at a height of 3.35 m above the ground is approximately 3.62 joules.