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Answer :
Final answer:
The total work done on the elevator by the cable is calculated by adding the work done against gravity and the work done against friction.The total work done is 477,337.5 Joules
Explanation:
The work done on the elevator car is calculated by adding the work done against gravity and the work done against friction. The work done against gravity is calculated by multiplying the weight of the elevator (its mass times the acceleration due to gravity) by the distance lifted, and the work done against friction is calculated by multiplying the frictional force by the distance.
To find the work done on the elevator, we first calculate the work done against gravity: Wg = m*g*h. Here, m=1200 kg (mass of the elevator), g=9.8 m/s2 (acceleration due to gravity), and h=40.5 m (height lifted), so Wg = 1200 kg * 9.8 m/s2 * 40.5 m = 472,680 J.
Next, we calculate the work done against friction: Wf = Ff * d. Here, Ff = 115 N (frictional force) and d=40.5 m (distance), so Wf = 115 N * 40.5 m = 4,657.5 J.
Finally, we add these two quantities together to find the total work done on the elevator: W = Wg + Wf, so W = 472,680 J + 4,657.5 J = 477,337.5 J.
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