The equation of GPE is mgH, where m is mass, g is gravitational acceleration, and H is the height.
If we're solving for the change in GPE, then:
∆[tex]U_{g}[/tex] = mg∆H
Input our given values for m and g:
∆[tex]U_{g}[/tex] = 0.25 * 9.80 * ∆H
The book falls from 2 meters high to 0.5 meters high, so:
∆[tex]U_{g}[/tex] = 0.25 * 9.80 * (2.0 - 0.5)
∆[tex]U_{g}[/tex] = 0.25 * 9.80 * 1.5
∆[tex]U_{g}[/tex] = 3.675 (J)
Adjust for significant figures:
∆[tex]U_{g}[/tex] = 3.7 (J)
The change in gravitational potential energy was 3.7 (J)
If you have any questions on anything I did to get to the answer, just ask!
- breezyツ
