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A student's car has broken down and a professor of physics has kindly offered to tow...

A student's car has broken down and a professor of physics has kindly offered to tow it. The cars are on an incline of 20 degrees to the horizontal and it is necessary to tow car up the incline. The student's car weighs 11kN and the professor's car weighs 13kN. Assume that frictional forces on the student's car can be neglected. Find the maximum distance the car can be towed in the first 10s if a rope having a 4.5kN breaking strength is used.

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