A A Train Is Travelling At 24 M S On A Curved Track The Curve Of The Track Is An Arc Of A Circle Of Radius 150 M I 1 (90.63 KiB) Viewed 331 times
A A Train Is Travelling At 24 M S On A Curved Track The Curve Of The Track Is An Arc Of A Circle Of Radius 150 M I 2 (25.86 KiB) Viewed 331 times
(a) A train is travelling at 24 m s¹ on a curved track. The curve of the track is an arc of a circle of radius 150 m. i. Calculate the acceleration of the train and state its direction. The train has a mass of 42 000 kg. Calculate the centripetal force acting on it. Later in the journey, the train is moving on a straight track at 2 m s'¹ in preparation for coupling with a stationary carriage. The carriage has a mass of 30 000 kg. When the train collides with the carriage, the two join together and move off in the same direction. Calculate the initial momentum of the train. ii. Calculate the speed of the joined train and carriage after the coupling. A metal ball hangs from a long thread and acts as a pendulum when moved. The ball is pulled to one side from its rest position by 0.050 m and released. The ball performs simple harmonic motion with a period of 2.20 s. i. Define simple harmonic motion. Calculate the maximum acceleration of the ball. iii. Calculate the displacement of the ball after 3.05 s. The equation for an object released from its amplitude and left to swing is x = Acos(wt). (b) (c) i.
(d) (e) State the point on the ball's motion where it experiences:- i. Its maximum acceleration. Its maximum kinetic energy. Calculate the maximum kinetic energy of the ball if the ball has a mass of 0.060 kg. ii.
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