High School

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. 75.5 J
B. 735 J
C. 245 J
D. 37.8 J

Answer :

To find the potential energy, we use the formula:

[tex]$$
PE = mgh,
$$[/tex]

where:
- [tex]$m$[/tex] is the mass of the bicycle,
- [tex]$g$[/tex] is the acceleration due to gravity,
- [tex]$h$[/tex] is the height of the hill.

The given values are:
- [tex]$m = 25 \text{ kg}$[/tex],
- [tex]$g = 9.8 \text{ m/s}^2$[/tex],
- [tex]$h = 3 \text{ m}$[/tex].

Substitute these values into the formula:

[tex]$$
PE = 25 \times 9.8 \times 3.
$$[/tex]

Calculating the product:

[tex]$$
PE = 25 \times 9.8 \times 3 = 735 \text{ J}.
$$[/tex]

Thus, the potential energy of the bicycle at the top of the hill is [tex]$\boxed{735 \text{ J}}$[/tex].