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Newton's laws of motion

A railway truck traveling along a level track at 9 m/s collides with, and becomes coupled to, a stationary truck. Find the velocity of the coupled trucks immediately after the collision if the stationary truck has a mass which:

a. equal to the mass of the moving truck

b. twice the mass of the moving truck

Posted in Physics, asked by Titia, 6 years ago. 1948 hits.

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a. Velocity of coupled truck will be half of the velocity of moving truck

b. Velocity of coupled truck will be 1/3rd of the velocity of moving truck

Madhav Kishore
Madhav Kishore - 6 years ago
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This topic is about collisions, and this type of collision is perfectly inelastic collision, and the formula for this is

 

ma v+ mvb = ( m+ mb) v'   ---> remember that we have only 1 velocity after they collide.

 

If we assume the mass of the moving truck is 1000 kg , then substitute all the given values and using the formula given above, we have

 

v' = ma v+ mv / m+ mb

v' = 1000kg (90m/s) + 1000kg(0m/s) / 1000kg + 1000kg

v' = 9000 kg m/s + 0 kg m/s / 2000kg

v' = 4.5 m/s   ---> this is your answer in letter A if the mass of the moving truck and stationary truck are the same.

 

But in letter B since the mass of the stationary truck is doubled, here's the solution

v' = 1000kg (90m/s) + 2000kg (0m/s) / 1000kg + 2000kg

v' = 9000 kg m/s + 0 kg m/s = 3000kg

v' = 3 m/s ----> this is your answer in letter B

 

 

 

Reynan Flores
Reynan Flores - 6 years ago
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