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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 :

To find the potential energy, we use the formula

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

where
[tex]\( m \)[/tex] is the mass,
[tex]\( g \)[/tex] is the acceleration due to gravity, and
[tex]\( h \)[/tex] is the height.

Given:
[tex]\( m = 25 \)[/tex] kg,
[tex]\( g = 9.8 \)[/tex] m/s[tex]\(^2\)[/tex],
[tex]\( h = 3 \)[/tex] m.

Substitute the values into the formula:

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

First, multiply [tex]\( 25 \)[/tex] and [tex]\( 9.8 \)[/tex]:

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

Then, multiply by [tex]\( 3 \)[/tex]:

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

Thus, the potential energy of the bicycle is

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

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Rewritten by : Barada