2. What is the mass of the barbell lifted by the weightlifter 2 m above the floor and with a PE of 98 J?​

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{98 J}}{(\text{9.8 m/}\text{s}^{2})(\text{2 m})}[/tex]

[tex]\boxed{m = \text{5 kg}}[/tex]

Therefore, the mass of the barbell is 5 kg.

[tex]\\[/tex]

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