Question

A person eats a 429.66 J snacks before working out. If a person uses all of their eaten energy to lift a 12.60kg weight. How high can they lift the weight?

Answer 1

Givens.

• The total energy is 429.66 J.

,

• The mass of the weight is 12.60 kg.

To find the height, use the gravitational potential energy formula.

$U=\text{mgh}$

Where m = 12.60 kg, U = 429.66 J, g = 9.81 m/s^2, and solve for h.

$\begin{gathered} h=\frac{U}{mg}=\frac{429.66J}{12.60\operatorname{kg}\cdot9.81\cdot\frac{m}{s^2}} \\ h=\frac{429.66}{123.61}m \\ h\approx3.5m \end{gathered}$

Therefore, they can lift the weight by 3.5 meters.