Mechanics
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1. When a high-speed passenger train traveling at 161 km/h rounds a bend, the engineer is shocked to see that a locomotive has improperly entered onto the track from a siding and is a distance D=676m ahead. The locomotive is moving at 29 km/h. The engineer of the high speed train immediately applies the brakes. For a collision to be just avoided, what must be the deceleration of the passenger train?
2. The muzzle velocity of a long range rifle at A is u=400 m/s. Determine the two angles of elevation which will permit the projectile to hit the mountain target B.
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Solution Summary
The expert examines the mechanics of a collision. The step by step solution is provided.
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We can solve this problem using the method of relative velocity. Velocity of the train relative to the loco = 161 - (-29) = 190 km/hr.
We can now assume that the loco is stationary and the train is approaching it with an initial speed of 190 km/hr and the train comes to rest after covering a distance of 0.676 km to just avoid collision.
Applying the equation : v2 - u2 = 2as we get : 0 - (190)2 = 2xax0.676
Or a = - 26700 km/hr2 ...
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