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.
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.