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 can calculate the potential energy using the formula

$$
PE = mgh,
$$

where
- $m$ is the mass,
- $g$ is the acceleration due to gravity, and
- $h$ is the height.

Given:
- $m = 25 \, \text{kg}$
- $g = 9.8 \, \text{m/s}^2$
- $h = 3 \, \text{m}$

Substitute the values into the formula:

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

Calculating step-by-step:

1. First, multiply $9.8$ by $3$:
$$
9.8 \times 3 = 29.4.
$$

2. Then, multiply by $25$:
$$
25 \times 29.4 = 735.
$$

Thus, the potential energy is

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