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Answer :
The gravitational potential energy is given by the formula
[tex]$$
U = mgh,
$$[/tex]
where:
- [tex]$m$[/tex] is the mass of the object,
- [tex]$g$[/tex] is the gravitational acceleration, and
- [tex]$h$[/tex] is the height above the reference point.
Given:
- Mass, [tex]$m = 5$[/tex] kg,
- Gravitational acceleration, [tex]$g = 9.8 \, \frac{m}{s^2}$[/tex],
- Height, [tex]$h = 3$[/tex] m.
Substitute these values into the equation:
[tex]$$
U = 5 \times 9.8 \times 3.
$$[/tex]
Multiplying these numbers:
[tex]$$
U = 147 \, \text{J}.
$$[/tex]
Thus, the potential energy of the book is [tex]$\boxed{147 \, \text{J}}$[/tex].
[tex]$$
U = mgh,
$$[/tex]
where:
- [tex]$m$[/tex] is the mass of the object,
- [tex]$g$[/tex] is the gravitational acceleration, and
- [tex]$h$[/tex] is the height above the reference point.
Given:
- Mass, [tex]$m = 5$[/tex] kg,
- Gravitational acceleration, [tex]$g = 9.8 \, \frac{m}{s^2}$[/tex],
- Height, [tex]$h = 3$[/tex] m.
Substitute these values into the equation:
[tex]$$
U = 5 \times 9.8 \times 3.
$$[/tex]
Multiplying these numbers:
[tex]$$
U = 147 \, \text{J}.
$$[/tex]
Thus, the potential energy of the book is [tex]$\boxed{147 \, \text{J}}$[/tex].
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