Train cars are coupled together by being bumped into one another. Suppose two loaded train cars are moving toward one another, the first having a mass of 130,000 kg and a velocity of 0.300 m/s, and the second having a mass of 115,000 kg and a velocity of -0.120 m/s. (The minus indicates direction of motion.) What is their final velocity

Their final velocity is 0.103 m/s

Explanation:

Given;

mass of the first car, m₁ = 130,000 kg

mass of the second car, m₂ = 115,000 kg

initial velocity of the first car, u₁ = 0.300 m/s

initial velocity of the second car, u₂ = -0.120 m/s

Let their final velocity, = v (since they were coupled together, they will have common final velocity)

Apply the principle of conservation of linear momentum;

Total momentum before collision = Total momentum after collision

m₁u₁ + m₂u₂ = v(m₁ + m₂)

(130,000 x 0.3) + (115,000 x -0.12) = v(130,000 + (115,000)

39000 -13800 = 245,000v

25200 = 245,000v

v = 25200 / 245,000

v = 0.103 m/s

Therefore, their final velocity is 0.103 m/s

the moon affects the earth gravitation ally, causing certain motions of that body and also producing tides in its ocean and atmosphere. the tidal wave in our atmosphere is, however, far too minute to be an effective cause in any known meteorological phenomenon.

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