energy & work problem set!!!! A person eats an 313.06 J snack before working out. If a person uses all of theireaten energy to lift a 14.78 kg weight. How high can they lift the weight?

Respuesta :

Given data:

* The energy acquired by the person from the snacks is 313.06 J.

* The mass of the weight is 14.78 kg.

Solution:

The potential energy required to lift the weight is,

[tex]U=\text{mgh}[/tex]

where m is the mass, g is the acceleration due to gravity, and h is the height of the weight,

Substituting the known values,

[tex]\begin{gathered} U=14.78\times9.8\times h \\ U=144.84\times h \end{gathered}[/tex]

By considering the energy of the snack acquired by the person is used in lifting the weight.

[tex]\begin{gathered} 313.06=144.84\times h \\ h=\frac{313.06}{144.84} \\ h=2.16\text{ m} \end{gathered}[/tex]

Thus, the weight is lifted to the height of 2.16 meter.