Final answer:
Lifting a 200 kg rock to a height of 3 meters, the hoist does 5880 Joules of work. This is determined by multiplying the force needed to lift (calculated as the weight of the rock, 200 kg, times gravitational acceleration, 9.8 m/s²) by the vertical distance lifted.
Step-by-step explanation:
Work done by the hoist can be calculated using the formula: Work = Force x Distance. In this case, the mass of the rock is 200kg and the height it is lifted is 3m. Since we are dealing with lifting, force can be calculated using the formula: Force = mass x gravitational acceleration. By substituting the values into the formulas, you can calculate the work done. Work = (200kg x 9.8m/s^2) x 3m = 5880 Joules.