If you toss a coin straight upward while riding in a train, where does the coin land when the motion of the train is uniform along a straight-line track? When the train slows while the coin is in the air? When the train is turning?
Solution 46E Case 1 When the train is in uniform motion, the coin will also have the same speed as that of the train and the same direction. This will be due to the inertia of motion. After tossing up, it will come down back to your hand. Case 2 If the train slows while the coin is in the air, the coin will fall down in front of you. Initially, the coin will tend to maintain its uniform speed as that of the train. But your body being in touch with the train will also slow down with the train. Therefore, to maintain its inertia of motion, the coil will be ahead of you once it comes down to the floor. Case 3 When the train takes a turn, it will follow a circular path. The coin will tend to maintain its motion along a straight line after being tossed. Thus the path of the coin will be tangential to the direction of motion of the train.