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A very basic model where we can assume there is no momentum loss during the collision... we need to calculate momentum, p.

p = mv

where m = 1 kg (the mass of the cart) and v = 0.5 m/s (velocity of the cart)

p = 1 kg . 0.5 m/s = 0.5 kg.m/s

After the collision the momentum will be the same, but the mass has doubled...

so p = mv = 0.5 kg.m/s = (1 kg + 1 kg).v

v = 0.5 kg.m/s / 2 kg = 0.25 m/s

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Q: When a 1.0-kilogram cart moving with a speed of 0.50 meter per second on a horizontal surface collides with a second 1.0-kilogram cart initially at rest the carts lock together What is the speed of?
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