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 of the bicycle at the top of the hill, we can use the formula for gravitational potential energy:

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

Let's substitute the given values into the formula:

- The mass ([tex]\( m \)[/tex]) of the bicycle is 25 kg.
- The acceleration due to gravity ([tex]\( g \)[/tex]) is approximately 9.8 m/s[tex]\(^2\)[/tex].
- The height ([tex]\( h \)[/tex]) of the hill is 3 meters.

Now, substituting these values into the formula:

[tex]\[ PE = 25 \, \text{kg} \times 9.8 \, \text{m/s}^2 \times 3 \, \text{m} \][/tex]

Calculating this gives:

[tex]\[ PE = 735 \, \text{Joules} \][/tex]

So, the potential energy of the bicycle at the top of the hill is 735 Joules. Therefore, the correct answer is 735 J.