Answer :
To find the potential energy of a 25 kg bicycle resting at the top of a hill that is 3 meters high, we use the formula for gravitational potential energy:
[tex]\[ \text{Potential Energy} = m \cdot g \cdot h \][/tex]
where:
- [tex]\( m \)[/tex] is the mass, which is 25 kg.
- [tex]\( g \)[/tex] is the acceleration due to gravity, approximately 9.8 [tex]\(\text{m/s}^2\)[/tex].
- [tex]\( h \)[/tex] is the height, which is 3 meters.
Now, we plug in the given values:
[tex]\[ \text{Potential Energy} = 25 \cdot 9.8 \cdot 3 \][/tex]
Calculating step-by-step:
1. First, multiply the mass by gravity:
- [tex]\( 25 \times 9.8 = 245 \)[/tex]
2. Next, multiply the result by the height:
- [tex]\( 245 \times 3 = 735 \)[/tex]
So, the potential energy of the bicycle at the top of the hill is [tex]\( 735 \)[/tex] Joules.
Therefore, the correct answer is: 735 J.
[tex]\[ \text{Potential Energy} = m \cdot g \cdot h \][/tex]
where:
- [tex]\( m \)[/tex] is the mass, which is 25 kg.
- [tex]\( g \)[/tex] is the acceleration due to gravity, approximately 9.8 [tex]\(\text{m/s}^2\)[/tex].
- [tex]\( h \)[/tex] is the height, which is 3 meters.
Now, we plug in the given values:
[tex]\[ \text{Potential Energy} = 25 \cdot 9.8 \cdot 3 \][/tex]
Calculating step-by-step:
1. First, multiply the mass by gravity:
- [tex]\( 25 \times 9.8 = 245 \)[/tex]
2. Next, multiply the result by the height:
- [tex]\( 245 \times 3 = 735 \)[/tex]
So, the potential energy of the bicycle at the top of the hill is [tex]\( 735 \)[/tex] Joules.
Therefore, the correct answer is: 735 J.
