Question icon
Grade 11Mechanics

A 1200-kg car is being towed up an 18° incline by means of a rope attached to the rear of a truck. The rope makes an angle of 27° with the incline. What is the greatest distance that the car can be towed in the first 7.5 s starting from rest if the rope has a breaking strength of 4.6 kN? Ignore all resistive forces on the car. See Fig.
src=data:image/png;base64,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

Profile image of Simran Bhatia
11 Years agoGrade 11
Answers icon

1 Answer

Profile image of Aditi Chauhan
11 Years ago
236-2115_1.PNG
236-1364_1.PNG
Therefore, the distance by which the car can move in 7.5 s is 10.8 m.