Behemothidn
Answered

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What is the mass of a ball that is lifted vertically to a distance of 25 m and gained 562 J of gravitational potential energy?

Sagot :

Tokamakidn

[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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