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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 potential energy:
[tex]\[ PE = m \times g \times h \][/tex]
where:
- [tex]\( PE \)[/tex] is the potential energy,
- [tex]\( m \)[/tex] is the mass of the bicycle in kilograms,
- [tex]\( g \)[/tex] is the acceleration due to gravity, which is approximately [tex]\( 9.8 \, \text{m/s}^2 \)[/tex],
- [tex]\( h \)[/tex] is the height in meters.
Let's calculate it step-by-step:
1. Identify the values given in the problem:
- Mass ([tex]\( m \)[/tex]) = 25 kg
- Height ([tex]\( h \)[/tex]) = 3 m
- Acceleration due to gravity ([tex]\( g \)[/tex]) = 9.8 m/s²
2. Plug these values into the formula for potential energy:
[tex]\[
PE = 25 \, \text{kg} \times 9.8 \, \text{m/s}^2 \times 3 \, \text{m}
\][/tex]
3. Calculate:
[tex]\[
PE = 25 \times 9.8 \times 3
\][/tex]
4. Perform the multiplication:
[tex]\[
PE = 735 \, \text{Joules}
\][/tex]
Therefore, the potential energy of the bicycle is 735 J.
[tex]\[ PE = m \times g \times h \][/tex]
where:
- [tex]\( PE \)[/tex] is the potential energy,
- [tex]\( m \)[/tex] is the mass of the bicycle in kilograms,
- [tex]\( g \)[/tex] is the acceleration due to gravity, which is approximately [tex]\( 9.8 \, \text{m/s}^2 \)[/tex],
- [tex]\( h \)[/tex] is the height in meters.
Let's calculate it step-by-step:
1. Identify the values given in the problem:
- Mass ([tex]\( m \)[/tex]) = 25 kg
- Height ([tex]\( h \)[/tex]) = 3 m
- Acceleration due to gravity ([tex]\( g \)[/tex]) = 9.8 m/s²
2. Plug these values into the formula for potential energy:
[tex]\[
PE = 25 \, \text{kg} \times 9.8 \, \text{m/s}^2 \times 3 \, \text{m}
\][/tex]
3. Calculate:
[tex]\[
PE = 25 \times 9.8 \times 3
\][/tex]
4. Perform the multiplication:
[tex]\[
PE = 735 \, \text{Joules}
\][/tex]
Therefore, the potential energy of the bicycle is 735 J.
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