GCSE Questions: ForcesQ17. The diagram below shows two train tracks, A and B. (a)
[3 marks]
[2 marks] (b) One type of train is designed to tilt as it goes around bends. Tilting the train more increases the centripetal force that acts on the train.
[1 mark]
[1 mark] (c) An engineer built a small scale model to predict the minimum safe radius of curved track that the tilted train could safely go round at 250 km/hour. The results predicted using the small scale model are shown in the following graph.
(i) The engineer described the relationship between the angle that the train tilted and the minimum safe radius at 250 km/hour as inversely proportional. Use data from the graph to explain why the engineer is correct. Either When the angle doubles the radius halves. (An explanation using numbers quoted from the graph to support this eg at 2 degrees the minimum radius is 3000 m but at 4 degrees it is 1500 m. ) Or The product of angle and radius is constant  the product is 6000 m degrees  eg at 2 degrees the minimum radius is 3000 m we get 2 x 3000 = 6000 and at 4 degrees it is 1500 m and 4 x 1500 = 6000. You got one mark for explaining the inverse relationship  and one mark for plucking data from the graph. Always remember to pluck numbers to illustrate what you mean. [2 marks] (ii) The engineer also created a computer simulation of the tilting train. Suggest one benefit of using a computer simulation over using a small scale model. Any one from:
References to accuracy and cost were ignored and 'reduces the likelihood of human error' was classed as insufficient to get you a mark. [1 mark] [10 Marks TOTAL] 
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