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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, you can use the formula for gravitational potential energy:
[tex]\[ PE = m \times g \times h \][/tex]
where:
- [tex]\( m \)[/tex] is the mass (in kilograms),
- [tex]\( g \)[/tex] is the acceleration due to gravity (approximately [tex]\( 9.8 \, \text{m/s}^2 \)[/tex]),
- [tex]\( h \)[/tex] is the height (in meters).
Let's plug the values into the formula:
1. Identify the given values:
- Mass [tex]\( m = 25 \, \text{kg} \)[/tex]
- Acceleration due to gravity [tex]\( g = 9.8 \, \text{m/s}^2 \)[/tex]
- Height [tex]\( h = 3 \, \text{m} \)[/tex]
2. Substitute these values into the formula:
[tex]\[ PE = 25 \times 9.8 \times 3 \][/tex]
3. Calculate step-by-step:
- First, calculate [tex]\( m \times g = 25 \times 9.8 = 245 \)[/tex]
- Then, multiply by the height: [tex]\( 245 \times 3 = 735 \)[/tex]
The potential energy of the bicycle is [tex]\( 735 \, \text{Joules (J)} \)[/tex].
Therefore, the correct answer is [tex]\( \boxed{735 \, J} \)[/tex].
[tex]\[ PE = m \times g \times h \][/tex]
where:
- [tex]\( m \)[/tex] is the mass (in kilograms),
- [tex]\( g \)[/tex] is the acceleration due to gravity (approximately [tex]\( 9.8 \, \text{m/s}^2 \)[/tex]),
- [tex]\( h \)[/tex] is the height (in meters).
Let's plug the values into the formula:
1. Identify the given values:
- Mass [tex]\( m = 25 \, \text{kg} \)[/tex]
- Acceleration due to gravity [tex]\( g = 9.8 \, \text{m/s}^2 \)[/tex]
- Height [tex]\( h = 3 \, \text{m} \)[/tex]
2. Substitute these values into the formula:
[tex]\[ PE = 25 \times 9.8 \times 3 \][/tex]
3. Calculate step-by-step:
- First, calculate [tex]\( m \times g = 25 \times 9.8 = 245 \)[/tex]
- Then, multiply by the height: [tex]\( 245 \times 3 = 735 \)[/tex]
The potential energy of the bicycle is [tex]\( 735 \, \text{Joules (J)} \)[/tex].
Therefore, the correct answer is [tex]\( \boxed{735 \, J} \)[/tex].
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