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.
[tex]U=\text{mgh}[/tex]Where m = 12.60 kg, U = 429.66 J, g = 9.81 m/s^2, and solve for h.
[tex]\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}[/tex]Therefore, they can lift the weight by 3.5 meters.
