Answer :
Sure! Let's find the potential energy of a 25 kg bicycle resting at the top of a hill 3 meters high using the formula for potential energy:
The formula for potential energy (PE) is:
[tex]\[ \text{PE} = m \times g \times h \][/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.
Now, let's plug in the given values:
1. Mass ([tex]\( m \)[/tex]) = 25 kg
2. Height ([tex]\( h \)[/tex]) = 3 m
3. Gravity ([tex]\( g \)[/tex]) = 9.8 m/s²
Substitute these values into the formula:
[tex]\[ \text{PE} = 25 \times 9.8 \times 3 \][/tex]
Calculate the result:
[tex]\[ \text{PE} = 25 \times 9.8 \times 3 = 735 \][/tex]
So, the potential energy of the bicycle is 735 joules.
The formula for potential energy (PE) is:
[tex]\[ \text{PE} = m \times g \times h \][/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.
Now, let's plug in the given values:
1. Mass ([tex]\( m \)[/tex]) = 25 kg
2. Height ([tex]\( h \)[/tex]) = 3 m
3. Gravity ([tex]\( g \)[/tex]) = 9.8 m/s²
Substitute these values into the formula:
[tex]\[ \text{PE} = 25 \times 9.8 \times 3 \][/tex]
Calculate the result:
[tex]\[ \text{PE} = 25 \times 9.8 \times 3 = 735 \][/tex]
So, the potential energy of the bicycle is 735 joules.
