Question

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?

Answer 1

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,

`U=\text{mgh}`

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

Substituting the known values,

`\begin{gathered} U=14.78*9.8* h \\ U=144.84* h \end{gathered}`

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

`\begin{gathered} 313.06=144.84* h \\ h=(313.06)/(144.84) \\ h=2.16\text{ m} \end{gathered}`

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