A 15 kg television sits on a shelf at a height of 0.3 m. How much gravitational potential energy is added to the television when it is lifted to a shelf of height 1.0 m?
Answer:
Added energy to the television, E'' = 102.9 J
Explanation:
Given that,
Mass of the television, m = 15 kg
It is at a height of, h = 0.3 m
Potential energy at this height is given by :
E = m×g×h
\(E=15\times 9.8\times 0.3\)
E = 44.1 J
When it is at a height of, h' = 1 m
Potential energy is given by :
E' = m×g×h
\(E'=15\times 9.8\times 1\)
E' = 147 J
So, added potential energy is, E'' = E'-E
E'' = 147 J - 44.1 J
E'' = 102.9 J
So, 102.9 J of energy is added to the television. Hence, this is the required solution.