0.0295m/s is their final velocity of car when mass of 150,000 kg and a velocity of 0.300 m/s, and the second having a mass of 110,000 kg.
An object's final velocity (v) is equal to its starting velocity (u) plus acceleration (a), multiplied by the amount of time (t) that has passed since u to v.
Pi = Pf
m1u1 + m2u2 = (m1 +m2)v
where we have
m1 = 150,000kg is the mass of the first car
m2 = 110,000 kg is the mass of the second car
u1 = 0.300 m/s is the initial velocity of the first car
u2 = 0.300 m/s is the initial velocity of the second car
v = ? is the final velocity of the two cars together, after the collision
Solving the equation for v, we find
v = m1u1 + m2v2 / m1+m2
v = 0.0295m/s
And the direction (positive sign) is the same as the initial direction of the first car.
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