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. A car of mass 100 Kg moving at 10 m/s collides with a truck of mass 1000 Kg moving at 5 m/s from behind. What will happen to the motion if the two objects get tangled after collision? This type of collision is called “inelastic” collision.

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Answer:

  the joined objects will have a speed of 5 5/11 m/s

Step-by-step explanation:

The momentum will be the same before and after the collision.

Before

(100 kg)(10 m/s) = 1000 kg·m/s . . . car's momentum

(1000 kg)(5 m/s) = 5000 kg·m/s . . . truck's momentum

Since the velocities are in the same direction, the total momentum is the sum of these:

  1000 +5000 = 6000 . . . kg·m/s

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After

The momentum is the same, and the total mass is 100 kg+1000 kg = 1100 kg. Then the velocity (v) is ...

  (1100 kg)(v) = 6000 kg·m/s

  v = 6000/1100 m/s = 5 5/11 m/s

The collision will cause the tangled objects to continue moving forward, but at a speed of 5 5/11 m/s.