A man climbs on to a wall that is 5.3m high and gains 3600 J of potential energy. What is the mass of the man?

Sagot :

[tex]\tt{\huge{\blue{Explanation:}}}[/tex]

The potential energy of an object is

[tex]\boxed{PE = mgh}[/tex]

where:

PE = potential energy

m = mass

g = acceleration due to gravity = 9.8 m/s²

h = height

[tex]\tt{\huge{\red{Solution:}}}[/tex]

Solving for m

PE = mgh

[tex]\dfrac{PE}{gh} = \dfrac{mgh}{gh}[/tex]

[tex]m = \dfrac{PE}{gh}[/tex]

[tex]m = \dfrac{\text{3,600 J}}{(\text{9.8 m/}\text{s}^{2})(\text{5.3 m})}[/tex]

[tex]\boxed{m = \text{69.31 kg}}[/tex]

Therefore, the mass of the man is 69.31 kg.

[tex]\\[/tex]

#CarryOnLearning