1 Answer

Cristian Holdunu · Answer 1 · 2023-05-27T19:22:32+0000

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.

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

Therefore, they can lift the weight by 3.5 meters.

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