Solved: A tow truck pulls a car 5.00 km along a horizontal

Chapter 6, Problem 6.2

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QUESTION:

A tow truck pulls a car 5.00 km along a horizontal roadway using a cable having a tension of 850 N.

(a) How much work does the cable do on the car if it pulls horizontally? If it pulls at \(35.0^{\circ}\) above the horizontal?

(b) How much work does the cable do on the tow truck in both cases of part (a)?

(c) How much work does gravity do on the car in part (a)?

Questions & Answers

QUESTION:

A tow truck pulls a car 5.00 km along a horizontal roadway using a cable having a tension of 850 N.

(a) How much work does the cable do on the car if it pulls horizontally? If it pulls at \(35.0^{\circ}\) above the horizontal?

(b) How much work does the cable do on the tow truck in both cases of part (a)?

(c) How much work does gravity do on the car in part (a)?

ANSWER:

Step 1 of 4

a) Work done, W = F . S = FS cos

If the truck pulls the car horizontally, the direction of motion and direction of force will be same.

Hence,  = 0°

Therefore, W = FS cos 0 = FS (cos 0 = 1)

F = 850 N, S = 5 km = 5000 m

W = 850 N × 5000 m = 4250000 J = 4250 kJ

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