Answer :
To find the potential energy of a bicycle resting at the top of a hill, we use the formula for potential energy:
[tex]\[ PE = m \times g \times h \][/tex]
where:
- [tex]\( m \)[/tex] is the mass of the object (in kilograms),
- [tex]\( g \)[/tex] is the acceleration due to gravity (in meters per second squared),
- [tex]\( h \)[/tex] is the height of the object above the ground (in meters).
For this problem:
- The mass [tex]\( m \)[/tex] of the bicycle is 25 kg,
- The height [tex]\( h \)[/tex] of the hill is 3 m,
- The standard acceleration due to gravity [tex]\( g \)[/tex] is approximately 9.8 m/s².
Let's plug these values into the formula:
[tex]\[ PE = 25 \, \text{kg} \times 9.8 \, \text{m/s}^2 \times 3 \, \text{m} \][/tex]
Calculating step-by-step:
1. Multiply the mass (25 kg) by the acceleration due to gravity (9.8 m/s²):
[tex]\[ 25 \times 9.8 = 245 \][/tex]
2. Then, multiply the result by the height (3 m):
[tex]\[ 245 \times 3 = 735 \][/tex]
Therefore, the potential energy of the bicycle at the top of the hill is 735 joules. So, the correct answer is 735 J.
[tex]\[ PE = m \times g \times h \][/tex]
where:
- [tex]\( m \)[/tex] is the mass of the object (in kilograms),
- [tex]\( g \)[/tex] is the acceleration due to gravity (in meters per second squared),
- [tex]\( h \)[/tex] is the height of the object above the ground (in meters).
For this problem:
- The mass [tex]\( m \)[/tex] of the bicycle is 25 kg,
- The height [tex]\( h \)[/tex] of the hill is 3 m,
- The standard acceleration due to gravity [tex]\( g \)[/tex] is approximately 9.8 m/s².
Let's plug these values into the formula:
[tex]\[ PE = 25 \, \text{kg} \times 9.8 \, \text{m/s}^2 \times 3 \, \text{m} \][/tex]
Calculating step-by-step:
1. Multiply the mass (25 kg) by the acceleration due to gravity (9.8 m/s²):
[tex]\[ 25 \times 9.8 = 245 \][/tex]
2. Then, multiply the result by the height (3 m):
[tex]\[ 245 \times 3 = 735 \][/tex]
Therefore, the potential energy of the bicycle at the top of the hill is 735 joules. So, the correct answer is 735 J.
