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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 [tex]$m = 25\,\text{kg}$[/tex],
- Height [tex]$h = 3\,\text{m}$[/tex], and
- Gravitational acceleration [tex]$g = 9.8\,\text{m/s}^2$[/tex].

The potential energy is calculated using the formula

[tex]$$
PE = m \cdot g \cdot h.
$$[/tex]

Substitute the given values into the formula:

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

First, multiply the mass by gravity:

[tex]$$
25 \cdot 9.8 = 245.
$$[/tex]

Then multiply by the height:

[tex]$$
245 \cdot 3 = 735.
$$[/tex]

Thus, the potential energy is

[tex]$$
PE = 735\,\text{J}.
$$[/tex]

Therefore, the correct answer is [tex]$\boxed{735\,\text{J}}$[/tex].

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