On April 23, 2002, a passenger train about 35 miles outside of Los Angeles was hit by a freight train. The accident killed two and injured more than 260 people on the passenger train. News reports said that the passenger train came to a complete stop before the collision, and afterward the two trains were locked together moving in the freight train's original direction.
Some people believe the force on the passenger train could have been reduced and perhaps eliminated if it had sped up so that its speed matched that of the freight train instead of stopping before the collision. In this problem we explore that possibility by considering a head-on collision between two particles in two different cases:
Case 1: |
if particle B was at rest before the collision, and |
Case 2: |
if particle B was moving toward particle A with a speed equal to that of particle A. |
In both cases, before the collision
particle A is moving at
35.1 m/s toward
particle B, the duration of the collision is
2.10 ms, and after the collision
particle B is moving at
11.6 m/s in
particle A's original direction.
Particle B has a mass of
2.76 kg. To keep this problem simple, assume the only force exerted on
particle B is due to
particle A, and assume the acceleration is constant. Find the magnitude of the force exerted by
particle A on
particle B. (The mass for
particle A can be different in each case.)