Question

A Jeep is stuck in the mud. The driver has a winch that can pull on its cable with a force of 35,000 N. The driver loops the cable through a pulley attached to a tree, then attaches the end of the cable to his Jeep, as shown in figure 1. What is the magnitude of the maximum force that can be exerted on the Jeep by this cable arrangement? Express your answer with appropriate units.

The pulley system has a cable attached to either side of the front end of the jeep which connects to a pulley attached to a tree.

Answer 1

Answer:

70,000 N

Explanation:

Draw a free body diagram of the Jeep.  There are two tension forces, both pulling the Jeep towards the tree.

The net force is:

ΣF = 2T

ΣF = 2 (35,000 N)

ΣF = 70,000 N

Answer 2

The maximum force that can be exerted on the Jeep due to the cable arrangement is 70000N.

• Force, Tesnion = 35000N
• F = mass × acceleration

The net force, ΣF ; can be calculated thus :

• Net force = 2 times the Tension

ΣF = 2 × Tension

Net force = 2 × 35000

Net force = 70,000 N

Therefore, the net force that is exerted on the Jeep is 70,000N.

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