Problem 9.13 A small, 300 g cart is moving at 1.30 m / s on an air track when it

Question

Problem 9.13 A small, 300g cart is moving at 1.30m/s on an air track when it collides with a larger, 5.00kg cart at rest. After the collision, the small cart recoils at 0.820m/s .
What is the speed of the large cart after the collision? Problem 9.13 A small, 300g cart is moving at 1.30m/s on an air track when it collides with a larger, 5.00kg cart at rest. After the collision, the small cart recoils at 0.820m/s .
What is the speed of the large cart after the collision? A small, 300g cart is moving at 1.30m/s on an air track when it collides with a larger, 5.00kg cart at rest. After the collision, the small cart recoils at 0.820m/s .
What is the speed of the large cart after the collision? A small, 300g cart is moving at 1.30m/s on an air track when it collides with a larger, 5.00kg cart at rest. After the collision, the small cart recoils at 0.820m/s .
What is the speed of the large cart after the collision?

Explanation / Answer

mass of the small cart m1 = 300 g = 300 x 10^-3 g

speed is u1 = 1.30 m/s

mass of the large cart m2 = 5.00 kg

speed is u2 = 0

speed of the small cart after collision is v1 = 0.820 m/s

let speed of large cart after collision be v2

according to law of conservation of energy we have

m1u1 + m2u2 = m1v1 + m2v2

or m2v2 = m1u1 + m2u2 - m1v1

or v2 = [m1u1 + m2u2 - m1v1/m2]

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