Answer:
35.71 m
Explanation:
Potential energy is calculated using this formula:
- PE = mgh
- where m = mass (kg). g = gravitational acceleration on Earth (9.8 m/s²), h = height (m)
We are given 3 out of the 4 variables in this problem. We want to solve for h, the height of the cannon ball.
List out the known variables:
- PE = 14,000 J
- m = 40 kg
- g = 9.8 m/s²
- h = ? m
Substitute these values into the potential energy formula.
- 14,000 = (40)(9.8)h
- 14,000 = -392h
- h = 35.7142857143
The cannonball was 35.71 m high to have a potential energy of 14,000 J.
