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David lifts a book 1.2 meters from the floor to the top of his desk. If the book weighed 0.50 kg, what is the gravitational potential energy gained by the book? Estimate g as 9.81.

User Lidkxx
by
8.2k points

1 Answer

7 votes

Answer:

5.886 J

Step-by-step explanation:

Given:

The mass of the book is,
m=0.5 kg

Height of lift is,
\Delta h=1.2 m

Acceleration due to gravity is,
g=9.81 m/s²

Now, gain in gravitational potential energy is a function of change in position and is given as:


\Delta PE=mg\Delta h

Here,
\Delta PE is the change in gravitational potential energy.

Plug in 0.5 kg for
m, 9.81 for
g and 1.2 for
\Delta h.
Solve for
\Delta PE


\Delta PE=0.50* 9.81* 1.2=5.886\ J

Therefore, the gain in gravitational energy of the book is 5.886 J.

User Jinkey
by
8.3k points
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