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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 of a 25 kg bicycle resting at the top of a hill 3 meters high, we can use the formula for gravitational potential energy:

[tex]\[ \text{Potential Energy} (PE) = m \cdot g \cdot h \][/tex]

where:
- [tex]\( m \)[/tex] is the mass of the object, which is 25 kg,
- [tex]\( g \)[/tex] is the acceleration due to gravity, which is approximately 9.8 m/s²,
- [tex]\( h \)[/tex] is the height, which is 3 meters.

Now, let's substitute these values into the formula:

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

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

Therefore, the potential energy of the bicycle is 735 Joules. This corresponds to the second choice in the options provided:

735 J

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