Exampro a-level Physics (7407/7408)


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3.4.1.8-Conservation-of-energy

(1)


(ii) Describe the energy changes that take place from the moment the cannonball leaves the cannon until just before it hits the water. Include the effects of air resistance.


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(2)
(Total 13 marks)

Q28. The figure below shows a rollercoaster train that is being accelerated when it is pulled horizontally by a cable.

(a) The train accelerates from rest to a speed of 58ms–1 in 3.5 s. The mass of the fully loaded train is 5800 kg.
(i) Calculate the average acceleration of the train.
answer = ...................................... ms–2
(2)


(ii) Calculate the average tension in the cable as the train is accelerated, stating an appropriate unit.


answer = ...............................................
(3)


(iii) Calculate the distance the train moves while accelerating from rest to 58ms–1.


answer = ...................................... m
(2)


(iv) The efficiency of the rollercoaster acceleration system is 20%.


Calculate the average power input to this system during the acceleration.
answer = ..................................... W
(3)


(b) After reaching its top speed the driving force is removed and the rollercoaster train begins to ascend a steep track. By considering energy transfers, calculate the height that the train would reach if there were no energy losses due to friction.


answer = ...................................... m

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