Answer :
To find the potential energy of the bicycle at the top of the hill, we can use the formula for potential energy:
[tex]\[ PE = m \cdot g \cdot h \][/tex]
Where:
- [tex]\( m \)[/tex] is the mass of the bicycle, which is 25 kg,
- [tex]\( g \)[/tex] is the acceleration due to gravity, approximately 9.8 m/s²,
- [tex]\( h \)[/tex] is the height of the hill, which is 3 m.
Let's plug in the values into the formula:
[tex]\[ PE = 25 \, \text{kg} \times 9.8 \, \text{m/s}^2 \times 3 \, \text{m} \][/tex]
First, calculate the product of mass and gravity:
[tex]\[ 25 \, \text{kg} \times 9.8 \, \text{m/s}^2 = 245 \, \text{N} \][/tex]
Next, multiply this result by the height:
[tex]\[ 245 \, \text{N} \times 3 \, \text{m} = 735 \, \text{J} \][/tex]
Therefore, the potential energy of the bicycle is 735 Joules.
The correct answer is 735 J.
[tex]\[ PE = m \cdot g \cdot h \][/tex]
Where:
- [tex]\( m \)[/tex] is the mass of the bicycle, which is 25 kg,
- [tex]\( g \)[/tex] is the acceleration due to gravity, approximately 9.8 m/s²,
- [tex]\( h \)[/tex] is the height of the hill, which is 3 m.
Let's plug in the values into the formula:
[tex]\[ PE = 25 \, \text{kg} \times 9.8 \, \text{m/s}^2 \times 3 \, \text{m} \][/tex]
First, calculate the product of mass and gravity:
[tex]\[ 25 \, \text{kg} \times 9.8 \, \text{m/s}^2 = 245 \, \text{N} \][/tex]
Next, multiply this result by the height:
[tex]\[ 245 \, \text{N} \times 3 \, \text{m} = 735 \, \text{J} \][/tex]
Therefore, the potential energy of the bicycle is 735 Joules.
The correct answer is 735 J.
