Question

A book that weighs 0.35 kilograms is kept on a shelf that’s 2.0 meters above the ground. A picture frame that weighs 0.5 kilograms will have the same gravitational potential energy as the book when it’s raised to a height of meters.

(Use PE = m × g × h, where g = 9.8 N/kg. )

Answer 1

E p = m · g · h
E p ( book ) = 0.35 kg · 9.8 m/s² · 2 m = 6.86 J
E p ( picture frame ) = 6.86 J
( same gravitational potential energy as the book )
6.86 = 0.5 · 9.8 · h
6.86 = 4.9 h
h = 6.86 : 4.9
h = 1.4 m
Answer: ... to a height of 1.4 m.