The barbells had a maximum gravitational potential energy of 0.297 J at the maximum height of the lift.
Step-by-step explanation:
Gravitational potential energy is calculated by multiplying the weight of an object by the height it is lifted. In this case, the weight of the barbells is 3680 N, and the work done on them is 1.10 x 104 J. To find the maximum potential energy, use the equation PE = mgh, where m is the mass of the object, g is the acceleration due to gravity, and h is the height. Since the weight of an object is given by W = mg, we can rearrange the equation to solve for h: h = PE / (mg). Plugging in the values, h = (1.10 x 104 J) / (3680 N * 9.8 m/s2) = 0.297 m. Therefore, the barbells had a maximum gravitational potential energy of 0.297 J at the maximum height of the lift.