a man climbs on to a wall that is 3.6 m high and gains 2268 J of potential energ...

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October 2022 1 6 Report

a man climbs on to a wall that is 3.6 m high and gains 2268 J of potential energy. What is the mass of the man? complete solution pls

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Tokamak

$\tt{\huge{\blue{Explanation:}}}$

The mass of an object is given by

$\boxed{m = \frac{PE}{gh}}$

where:

m = mass

PE = potential energy

g = acceleration due to gravity = 9.8 m/s²

h = height

$\tt{\huge{\red{Solution:}}}$

Solving for the mass

$m = \dfrac{PE}{gh}$

$m = \dfrac{\text{2,268 J}}{(\text{9.8 m/}\text{s}^{2})(\text{3.6 m})}$

$\boxed{m = \text{64.29 kg}}$

Therefore, the mass of the man is 64.29 kg.

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