Final answer:
The gain in potential energy when the weights are lifted is 3920 Joules.
Step-by-step explanation:
The gain in potential energy (PE) when the weightlifter lifts the bar and weights can be calculated using the formula PE = mgh, where m is the mass of the weights, g is the acceleration due to gravity (9.8 m/s²), and h is the height the bar is lifted.
In this case, the mass of the weights is 200 kg. The height the bar is lifted is 2.0 m. Plugging these values into the formula, we get PE = (200 kg)(9.8 m/s²)(2.0 m) = 3920 J.
Therefore, the gain in potential energy when the weights are lifted is 3920 Joules.