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 725 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 725 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

Using the two-pulley system, the weight of the load is equal to the tension in rope segment A multiplied by 2:
Weight = 2(725 N) = 1450 N
The force that the worker exerts on the rope is equal to the weight of the load plus the tension in rope segment A:
Worker force = Weight + Tension in segment A
Worker force = 1450 N + 725 N
Worker force = 2175 N
Therefore, the weight of the load is 1450 N and the force that the worker exerts on the rope is 2175 N. However, this assumes that there is no friction in the pulleys and the rope is ideal. In reality, there will be some friction and the actual forces and weight may be slightly different.

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