shield47
Answered

if a television with mass 15kg is lifted to a shelf of height 1.2 m, how much gravitational potential energy is added to the television.

Verified Answer :

PE = mass gravity height
PE = 15 9.81 1.2
PE = 176.58 J

Answer:

The gravitational potential energy added to the television is 176.4 J

Explanation:

Conceptual analysis

Potential Energy (U) is the energy of a body located at a certain height (h) above the ground and is calculated as follows:


U = m × g × h  Formula (1)


U: Potential Energy in Joules (J)


m: mass in kg


g: acceleration due to gravity in m/s²


h: height in m  

Equivalences


1 N = 1 (kg×m)/s²


1 J = N × m


Known data


m = 15kg


g = 9.8 m/s²


h = 1.2m


Problem development


We replace data in formula (1)

\(U = 15 kg * 9.8 \frac{m}{s^2}  * 1.2 m = 176.4 \frac{kg*m}{s^2} * m= 176.4N*m\)


U = 176.4 J

The gravitational potential energy added to the television is 176.4 J