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Problem:

A 5.3 x 10² g cart moves on an air track at 2.3m/s. It collides with and sticks to another cart of mass 6 x 10² g. which was stationary before collision? what is the velocity of the combined cart after collision?​

Cart 1 mass

5.3 x 10² g = 530 g

530 g × 1 kg / 1000 g   = 0.53 Kg

Another Cart mass

6 x 10² g = 600 g

600 g ×  1 kg / 1000 g  = 0.6 Kg  

                             Before Collision                     After Collision

Given:                 Mass        Velocity                  Mass      Velocity                        

Cart 1                 0.53 kg     2.3 m/s                 0.53 kg        ?

Another Cart      0.6 kg        0 m/s                  0.6 kg          ?

Solution:

The momentum of both cart is conserved. There is no change in the

momentum of the system before and after collision.

                     Total Initial Momentum = Total Final Momentum

(0.53 kg × 2.3 m/s) + (0.6 kg×0 m/s)  = (0.53 kg +0.6 kg) × Vf

            1.219 kg.m/s + 0 kg.m/s         =  1.13 kg × Vf

                         1.219 kg.m/s / 1.13 kg = Vf

                                          1.079 m/s = Vf

Answer:

The velocity of the combined cart after collision is 1.079 m/s