1. **State the problem:** We have a bowling ball suspended by a 5-meter rope from the top of an 18-meter building. The gravitational potential energy (GPE) of the ball is 926 J. We need to find the mass of the ball in kilograms. 2. **Identify the relevant formula:** Gravitational potential energy is given by: $$GPE = mgh$$ where: - $m$ is mass (kg), - $g$ is acceleration due to gravity (approximately $9.8$ m/s$^2$), - $h$ is height above the reference point (meters). 3. **Determine the height of the bowling ball:** The building is 18 m tall, and the ball hangs on a 5 m rope. Assuming the reference point for potential energy is the ground, the height $h$ is: $$h = 18 - 5 = 13 \text{ meters}$$ 4. **Rewrite the formula to solve for mass:** $$m = \frac{GPE}{gh}$$ 5. **Plug in the known values:** $$m = \frac{926}{9.8 \times 13}$$ 6. **Calculate:** $$9.8 \times 13 = 127.4$$ $$m = \frac{926}{127.4} \approx 7.27$$ 7. **Final answer:** The mass of the bowling ball is approximately $7.27$ kilograms.