Answer :
To find the potential energy of the bicycle resting at the top of the hill, we use the formula:
[tex]\[ \text{Potential Energy (PE)} = m \cdot g \cdot h \][/tex]
where:
- [tex]\( m \)[/tex] is the mass of the bicycle (25 kg),
- [tex]\( g \)[/tex] is the acceleration due to gravity, which is approximately 9.8 m/s²,
- [tex]\( h \)[/tex] is the height of the hill (3 m).
Step-by-step calculation:
1. Identify the given values:
- Mass ([tex]\( m \)[/tex]) = 25 kg
- Gravity ([tex]\( g \)[/tex]) = 9.8 m/s²
- Height ([tex]\( h \)[/tex]) = 3 m
2. Substitute the given values into the formula:
[tex]\[ \text{PE} = 25 \cdot 9.8 \cdot 3 \][/tex]
3. Perform the multiplication:
[tex]\[ 25 \cdot 9.8 = 245 \][/tex]
[tex]\[ 245 \cdot 3 = 735 \][/tex]
Thus, the potential energy of the bicycle at the top of the hill is 735 joules.
Therefore, the correct answer is 735 J.
[tex]\[ \text{Potential Energy (PE)} = m \cdot g \cdot h \][/tex]
where:
- [tex]\( m \)[/tex] is the mass of the bicycle (25 kg),
- [tex]\( g \)[/tex] is the acceleration due to gravity, which is approximately 9.8 m/s²,
- [tex]\( h \)[/tex] is the height of the hill (3 m).
Step-by-step calculation:
1. Identify the given values:
- Mass ([tex]\( m \)[/tex]) = 25 kg
- Gravity ([tex]\( g \)[/tex]) = 9.8 m/s²
- Height ([tex]\( h \)[/tex]) = 3 m
2. Substitute the given values into the formula:
[tex]\[ \text{PE} = 25 \cdot 9.8 \cdot 3 \][/tex]
3. Perform the multiplication:
[tex]\[ 25 \cdot 9.8 = 245 \][/tex]
[tex]\[ 245 \cdot 3 = 735 \][/tex]
Thus, the potential energy of the bicycle at the top of the hill is 735 joules.
Therefore, the correct answer is 735 J.
