C10R.2 You are investigating a mishap on a mountain rail- road. On the evening o

Question

C10R.2 You are investigating a mishap on a mountain rail- road. On the evening of June 15, one railroad car was left arked at the top of a hill above another car of the same mass, as shown in the diagram below. On the morning of the 16th, both cars are found coupled together in the lake. Original positions of cars (Mass of each 3300 kg) 24 m Lake 7 m (The tracks go right up to the lake's edge to facilitate load- ing boats with ore.) The supervisor claims that the engineer must not have set the brake on the upper car, and during the night, it rolled down, hit, and coupled with the lower car. Their common momentum then carried them into the lake. The engineer disputes this, saying that someone must

Explanation / Answer

The potential energy of the car at top most point slowly convers inti kinetics energy as the car began to move down.

mgH=1/2 * m V^2

Now the first car will collude the second car at rest and both will coupled and move with common velocity.

M V+ 0 =(M+M)*Vc

Vc=V/2

Again the kinetic energy some part will convert in to gravitational potential energy on reaching 7m heigh hill area. Now both the cars will combinely fell into water with some horizontal velocity.

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