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

After doing the math, I'm almost 100% sure the answer is "...to a height of 1.4 meters." Glad to help! :)

Answer 2

Answer:

A picture frame will have the same gravitational potential energy as the book when it’s raised to a height of 1.4 m.

Explanation:

Given that,

Weight of book = 0.35 kg

Height of shelf = 2.0 m

Weight of frame = 0.5 kg

Using formula of gravitational potential energy

Gravitational potential energy = mgh

Where, m = mass

g = acceleration due to gravity

h = height

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.

Therefore,

Gravitational potential energy of book = gravitational potential energy of frame

mgh=m'gh'

We substitute the value into equation (I)

$0.35\times 9.8\times2.0=0.5\times9.8\times h'$

$h'=\dfrac{0.35\times2.0}{0.5}$

$h'=1.4\ m$

Hence, A picture frame will have the same gravitational potential energy as the book when it’s raised to a height of 1.4 m.