Good afternoon, My question is Momentum before and Momentum after collision shou

Question

Good afternoon,

My question is

Momentum before and Momentum after collision should be the same. Is my Math or concepts wrong? The values do not match.

l. A rest observer O sees a 2000-kg car moving with speed 20 m/s. The car hits a 1500 kg-car which is initially at rest. The two car sticks together after the collision. a. Find the speed of the cars after collision as seen by observer O b. Another observer O' is moving with constant velocity 25 m/s relative to O in the direction of the moving car. Find the velocity of the cars before and after the collision by performing the Galilean Transformation c. Show that according to O' momentum is also conserved. MYS 30 20 m/s 500 5 m/s 0000 doo 10 15 a a o) 2000 t 500 186 m/s 25 25 u, 1 11.42 86 25 13.57H m/s 40000 000 000 47 soo

Explanation / Answer

a) Applying conservation of momentum

=> Initial momentum = Final momentum

=> 2000 * 20 = (2000 + 1500) * V

=> V = 11.428 m/s

Thus, speed of cars after collision =   11.428 m/s

b)   velocity of first car before collision = 25 - 20 = 5 m/s

       velocity of second car before collision = 25 - 0 = 25 m/s

      velocity of cars after collision = 25 - 11.428 = 13.572 m/s

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