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Answer :
To find the potential energy, we use the formula
[tex]$$
PE = m g h,
$$[/tex]
where
[tex]\( m \)[/tex] is the mass,
[tex]\( g \)[/tex] is the gravitational acceleration, and
[tex]\( h \)[/tex] is the height.
1. The mass of the bicycle is given as [tex]\( m = 25 \, \text{kg} \)[/tex].
2. The height of the hill is given as [tex]\( h = 3 \, \text{m} \)[/tex].
3. The gravitational acceleration is assumed to be [tex]\( g = 9.8 \, \text{m/s}^2 \)[/tex].
Substitute these values into the formula:
[tex]$$
PE = 25 \times 9.8 \times 3.
$$[/tex]
4. First, calculate [tex]\( 25 \times 9.8 \)[/tex]:
[tex]$$
25 \times 9.8 = 245.
$$[/tex]
5. Then, multiply the result by 3:
[tex]$$
245 \times 3 = 735.
$$[/tex]
Thus, the potential energy of the bicycle is
[tex]$$
PE = 735 \, \text{J}.
$$[/tex]
So, the correct answer is 735 J.
[tex]$$
PE = m g h,
$$[/tex]
where
[tex]\( m \)[/tex] is the mass,
[tex]\( g \)[/tex] is the gravitational acceleration, and
[tex]\( h \)[/tex] is the height.
1. The mass of the bicycle is given as [tex]\( m = 25 \, \text{kg} \)[/tex].
2. The height of the hill is given as [tex]\( h = 3 \, \text{m} \)[/tex].
3. The gravitational acceleration is assumed to be [tex]\( g = 9.8 \, \text{m/s}^2 \)[/tex].
Substitute these values into the formula:
[tex]$$
PE = 25 \times 9.8 \times 3.
$$[/tex]
4. First, calculate [tex]\( 25 \times 9.8 \)[/tex]:
[tex]$$
25 \times 9.8 = 245.
$$[/tex]
5. Then, multiply the result by 3:
[tex]$$
245 \times 3 = 735.
$$[/tex]
Thus, the potential energy of the bicycle is
[tex]$$
PE = 735 \, \text{J}.
$$[/tex]
So, the correct answer is 735 J.
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