[tex]\tt{\huge{\blue{Explanation:}}}[/tex]
The gravitational potential energy of an object is
[tex]\boxed{GPE = mgh}[/tex]
where:
GPE = potential energy
m = mass
g = acceleration due to gravity = 9.8 m/s²
h = height
[tex]\tt{\huge{\red{Solution:}}}[/tex]
Solving for m
GPE = mgh
[tex]\dfrac{GPE}{gh} = \dfrac{mgh}{gh}[/tex]
[tex]m = \dfrac{GPE}{gh}[/tex]
[tex]m = \dfrac{\text{562 J}}{(\text{9.8 m/}\text{s}^{2})(\text{25 m})}[/tex]
[tex]\boxed{m = \text{2.29 kg}}[/tex]
Therefore, the mass of the ball is 2.29 kg.
[tex]\\[/tex]
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