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Suppose your car was mired deeply in the mud and you

Chapter 4, Problem 32

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QUESTION:

Suppose your car was mired deeply in the mud and you wanted to use the method illustrated in Figure \(4.37\) to pull it out.

(a) What force would you have to exert perpendicular to the center of the rope to produce a force of \(12,000 \mathrm{~N}\) on the car if the angle is \(2.00^{\circ}\)? In this part, explicitly show how you follow the steps in the Problem-Solving Strategy for Newton’s laws of motion.

(b) Real ropes stretch under such forces. What force would be exerted on the car if the angle increases to \(7.00^{\circ}\) and you still apply the force found in part (a) to its center?

Equation Transcription:

Text Transcription:

4.37

12,000 N

2.00 degrees

7.00 degrees

Questions & Answers

QUESTION:

Suppose your car was mired deeply in the mud and you wanted to use the method illustrated in Figure \(4.37\) to pull it out.

(a) What force would you have to exert perpendicular to the center of the rope to produce a force of \(12,000 \mathrm{~N}\) on the car if the angle is \(2.00^{\circ}\)? In this part, explicitly show how you follow the steps in the Problem-Solving Strategy for Newton’s laws of motion.

(b) Real ropes stretch under such forces. What force would be exerted on the car if the angle increases to \(7.00^{\circ}\) and you still apply the force found in part (a) to its center?

Equation Transcription:

Text Transcription:

4.37

12,000 N

2.00 degrees

7.00 degrees

ANSWER:

Problem 32PE

Solution 32 PE

Step 1 of 4:

In this question, we need to find the force to be exerted perpendicular to the center of the rope.

In part (b), we need to find what force has to exert on the car if the angle is increased by along with perpendicular force from part (a).

Data given

Tension  force

Angle of car

Change in angle of car

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