A worker lifts a heavy load using a two-pulley system as in the figure. If the tension in the rope segment labeled A is 1450 N, what are the weight of the load and the force that the worker exerts on the rope, respectively?
A) 363 N, 725 N
B) 725 N, 363 N
C) 1450 N, 725 N
D) 1450 N, 1450 N
E) Insufficient information is given to answer this question.

Question

A worker lifts a heavy load using a two-pulley system as in the figure. If the tension in the rope segment labeled A is 1450 N, what are the weight of the load and the force that the worker exerts on the rope, respectively? 
A) 363 N, 725 N 
B) 725 N, 363 N 
C) 1450 N, 725 N 
D) 1450 N, 1450 N 
E) Insufficient information is given to answer this question.

Quizplus · Accepted Answer

Since the pulley system is in equilibrium, the tension in rope segment A must be the same as the tension in rope segment B. This means that the weight of the load (W) is equal to the tension in rope segment A:

W = 1450 N

The force that the worker exerts on the rope (F) is equal to half the weight of the load:

F = 0.5W = 0.5(1450 N) = 725 N

Therefore, the answer is (C) 1450 N for the weight of the load and 725 N for the force that the worker exerts on the rope.

A Worker Lifts a Heavy Load Using a Two-Pulley System