A1.0 kg cart moving right at 5.0 - - on a frictionless track

collides with a second cart moving left at 2.0 m/s.

The 1.0 kg cart has a final speed of 4.0 m/s to the left, and the

second cart has a final speed of 1.0 m/s

to the right.

What is the mass of the second cart?

Consider rightward as the positive direction.

Question

Mathematics

Atticus Gay

13 September, 10:00

A1.0 kg cart moving right at 5.0 - - on a frictionless track

collides with a second cart moving left at 2.0 m/s.

The 1.0 kg cart has a final speed of 4.0 m/s to the left, and the

second cart has a final speed of 1.0 m/s

to the right.

What is the mass of the second cart?

Consider rightward as the positive direction.

+3

Answers (1)

Know the Answer?

Jan · Answer 1

3.0 kg

Step-by-step explanation:

Momentum before collision = momentum after collision

m₁ u₁ + m₂ u₂ = m₁ v₁ + m₂ v₂

(1.0 kg) (5.0 m/s) + m (-2.0 m/s) = (1.0 kg) (-4.0 m/s) + m (1.0 m/s)

5.0 kg m/s + m (-2.0 m/s) = - 4.0 kg m/s + m (1.0 m/s)

9.0 kg m/s = m (3.0 m/s)

m = 3.0 kg