11 A Car Of Mass 300 Kg Travels Along The Track Of A Roller Coaster In One Section Of The Track The Car Travels Around 1 (158.55 KiB) Viewed 26 times
Answer:
11 A Car Of Mass 300 Kg Travels Along The Track Of A Roller Coaster In One Section Of The Track The Car Travels Around 2 (4.86 KiB) Viewed 26 times
11 A car of mass 300 kg travels along the track of a roller coaster. In one section of the track, the car travels around the inside of a vertical circle of radius 7.5 m, as shown in the diagram. The car is attached to the track so that it can move freely along it, but cannot leave the circular path. While the car is travelling around the circle, there is no driving force present. Friction and air resistance may be neglected. The car enters the circle at its lowest point, A, with a speed of 20 m s−1. (i) Show that the speed of the car at the highest point is 10 ms−1. (ii) Find the radial acceleration at the highest point. Hence calculate the force that the track exerts on the car at this point. Could the roller coaster operate if the car was not attached to the track? Explain your answer briefly. (iii) Calculate the radial and tangential components of acceleration when the car has travelled through 120∘ round the circle from A. Find the magnitude of the resultant acceleration and the direction it makes with the vertical.
(ii) 13.3 ms−2;R=1000 N, force from the track is downwards, so could operate (iii) 23.3 ms−2;8.66 ms−2; 24.9 ms−2,39.6∘
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