Answer to Question #295813 in Mechanics | Relativity for Gogo

Question

10. A 1500 kg yellow convertible is travelling south, and a 2000 kg red station wagon is travelling west. If the total momentum is of the system consisting of the two cars is 8000 kg.m/s directed at 30° west of south, what is the speed of each car?

Answer 1

Answer

The momentum of the two car system can be found from equations:

((m₁v₁)² + (m₂v₂)² = p²

cos(60) =

((m₂v¹₂)² + (m₂v¹₂)² = p² 1 (m, + m₂) ₂

P

8000kgm/s

2(1500kg + 2000kg)

12₂ = 2(m₂ + m₂)

= 1.14m/s

From the first equation:

1 m₂ V₁ = -√√p² - (m₂1₂) ²

Py = 1500kg √(8000kgm/s)²-(2000kg 1.14m/s)² = 5.11m/s

Answer: v₁=5.11m/s, v₂= 1.14m/s