Enhanced EOC: Problem 9.13 A small, 200 g cart is moving at 1.30 m / s on an air

Question

Enhanced EOC: Problem 9.13 A small, 200g 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?   v = ?  m/sm/
Not really sure which equation to use to solve this problem. Enhanced EOC: Problem 9.13 A small, 200g 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?   v = ?  m/sm/
Not really sure which equation to use to solve this problem. A small, 200g 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?   v = ?  m/sm/
Not really sure which equation to use to solve this problem. A small, 200g 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?   v = ?  m/sm/
Not really sure which equation to use to solve this problem. What is the speed of the large cart after the collision?   v = ?  m/sm/
  v = ?  m/sm/
  v = ?  m/sm/
Not really sure which equation to use to solve this problem.   v = ?  m/sm/

Explanation / Answer

Conservation of momentum.

Let the original direction of the small cart be positive.

0.200 * 1.30 + 5.00 * 0.0 = 0.20 * (-0.820) + 5.00 * v

v=0.0848 m/s

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