Understanding the Concepts

* Potential Energy: When you lift an object, you give it potential energy. This energy is stored due to its position relative to the Earth's gravitational pull.

* Potential Energy Formula: The potential energy (PE) of an object is calculated using the formula: PE = mgh

* PE = Potential Energy (in Joules)

* m = Mass (in kilograms)

* g = Acceleration due to gravity (approximately 9.8 m/s²)

* h = Height (in meters)

Solving the Problem

1. We know:

* PE = 35 Joules

* h = 0.5 meters

* g = 9.8 m/s²

2. Rearrange the formula to solve for mass (m):

* m = PE / (gh)

3. Substitute the known values:

* m = 35 Joules / (9.8 m/s² * 0.5 meters)

4. Calculate:

* m ≈ 7.14 kg

Therefore, the mass of the bowling ball is approximately 7.14 kilograms.