College

What is the potential energy of a 25 kg bicycle resting at the top of a hill 3 m high?

(Formula: [tex]PE = mgh[/tex])

A. 75 J
B. 735 J
C. 245 J
D. 37.8 J

Answer :

We are given:

- Mass of the bicycle, \( m = 25 \, \text{kg} \)
- Acceleration due to gravity, \( g = 9.8 \, \text{m/s}^2 \)
- Height of the hill, \( h = 3 \, \text{m} \)

The formula for potential energy is:

$$
PE = m \cdot g \cdot h
$$

Substitute the given values into the formula:

$$
PE = 25 \times 9.8 \times 3
$$

Carry out the multiplication step-by-step:

1. First, multiply \( 25 \) by \( 9.8 \):
$$
25 \times 9.8 = 245
$$

2. Next, multiply the result by \( 3 \):
$$
245 \times 3 = 735
$$

Thus, the potential energy of the bicycle is

$$
PE = 735 \, \text{Joules}
$$

Therefore, the correct answer is \(\boxed{735 \, \text{J}}\).