Question

type the correct answer in the box. a book that weighs 0.35 kilograms is kept on a shelf thats 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 its raised to a height of meters. (use pe = m × g × h, where g = 9.8 n/kg.)

Explanation:

Step1: Calculate book's potential energy

$PE_{book}=m_{book}\times g\times h_{book}$, where $m_{book} = 0.35$ kg, $g = 9.8$ N/kg, $h_{book}=2.0$ m. So $PE_{book}=0.35\times9.8\times2.0=6.86$ J.

Step2: Find height for picture - frame

Since $PE_{frame}=PE_{book}$, and $PE_{frame}=m_{frame}\times g\times h_{frame}$, with $m_{frame} = 0.5$ kg, $g = 9.8$ N/kg and $PE_{frame}=6.86$ J. Then $h_{frame}=\frac{PE_{frame}}{m_{frame}\times g}$. Substitute the values: $h_{frame}=\frac{6.86}{0.5\times9.8}=1.4$ m.

Answer:

1.4