A toy car X of mass 0.200 kg moves along a frictionless surface with a velocity of 0.180 m/s. It collides with another toy car Y, with a mass of 0.250 kg and a speed of 0.130 m/s in the same direction. After the collision, toy car X continues to move in the same direction with a velocity of 0.177 rn/s. Calculate the speed of toy car Y after the collision.

Explanation:

GIVEN  

for car X

mass = 0.200 kg ()

velocity = 0.180 m/s ()

for car Y

mass = 0.250 kg ()

velocity = 0.130 m/s ()

After the collision, toy car X continues to move in the same direction with a velocity of 0.177 m/s (given)  = ()

By Conservation of momentum .

m₁ u₁ + m₂ u₂ = m₁ v₁ + m₂ u₂  

after solving these equation get

+ sign shows the direction of is the same as the initial direction.

a and b sometimes have a positive value

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