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A car breaks down and the driver asks a lal to tow it using a piece of nylon rope wha. ls 10.00 m long and has a diameter of 10.1 The rope obeys Hooke's law and has a Yenm modulus of 3.0 x 10°Nm2. The mas ol the car and driver is 750 kg. (a) When towing on a level road at a cnntant speed, it is found that the rope extemth ly 0.025 m. Calculate the tension in ilempe and hence the net resistive force actg the towed cur. (b) The two cars now ascend a slope whih rises 1.0m vertically for every 1m travelled on the road. They maintam the same speed as in part (a). What is the new length of the towrope?

A car breaks down and the driver asks a lal to tow it using a piece of nylon rope wha. ls 10.00 m long and has a diameter of 10.1 The rope obeys Hooke's law and has a Yenm modulus of 3.0 x 10°Nm2. The mas ol the car and driver is 750 kg. (a) When towing on a level road at a cnntant speed, it is found that the rope extemth ly 0.025 m. Calculate the tension in ilempe and hence the net resistive force actg the towed cur. (b) The two cars now ascend a slope whih rises 1.0m vertically for every 1m travelled on the road. They maintam the same speed as in part (a). What is the new length of the towrope?

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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A car breaks down and the driver asks a likul to tow it using a piece of nylon rope whin hs 10.00 m long and has a diameter of 10.1m The rope obeys Hooke's law and has a Yınm modulus of 3.0 x 10°Nm. The mass l the car and driver is 750 kg. (a) When towing on a level road ata cuntant speed, it is found chat the rope cstemth by 0.025 m. Calculate the tension in iliepe and hence the net resistive force aclug the towed car. (6) The two cars now ascend a slope ulnh rises 1.0m vertically for every 50m travelled on the road. They maintan the same speed as in part (a). What is the new length of the towrope? (c) How much clastic energy is storcd in Ihr rope while the cars are climbing? (d) A stretched towrope must be regarded av dangerous because of the energy released should it brenk or become detaclied. 1lırs danger can be reduced by careful clowe of towrope. By comparison with the original rope m each case, state and explain Iw the energy stored in the rope k be reduced by using a rope with a lbll (1) Young modulus, (li) area of crooss-section
Transcribed Image Text:A car breaks down and the driver asks a likul to tow it using a piece of nylon rope whin hs 10.00 m long and has a diameter of 10.1m The rope obeys Hooke's law and has a Yınm modulus of 3.0 x 10°Nm. The mass l the car and driver is 750 kg. (a) When towing on a level road ata cuntant speed, it is found chat the rope cstemth by 0.025 m. Calculate the tension in iliepe and hence the net resistive force aclug the towed car. (6) The two cars now ascend a slope ulnh rises 1.0m vertically for every 50m travelled on the road. They maintan the same speed as in part (a). What is the new length of the towrope? (c) How much clastic energy is storcd in Ihr rope while the cars are climbing? (d) A stretched towrope must be regarded av dangerous because of the energy released should it brenk or become detaclied. 1lırs danger can be reduced by careful clowe of towrope. By comparison with the original rope m each case, state and explain Iw the energy stored in the rope k be reduced by using a rope with a lbll (1) Young modulus, (li) area of crooss-section
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