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 :

To find the potential energy, we use the formula

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

where
[tex]\( m = 25 \)[/tex] kg is the mass,
[tex]\( g = 9.8 \)[/tex] m/s[tex]\(^2\)[/tex] is the acceleration due to gravity, and
[tex]\( h = 3 \)[/tex] m is the height.

Substitute the values into the formula:

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

Multiplying these together:

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

Thus, the potential energy of the bicycle is [tex]\(735\)[/tex] J.