Question

A car with mass 1141 kg, moving at 16 m/s, strikes a(n) 2916 kg car at rest. If the two cars stick together, with what speed do they move

Answer 1

V = 4.49 m/s

Step-by-step explanation:

Given that,

Mass of the car 1, m₁ = 1141 kg

Initial speed of car 1, u₁ = 16 m/s

Mass of car 2, m₂ = 2916 kg

Initial speed of car 2, u₂ = 0

We need to find the speed of the cars if they stick together. Let the speed be V. The momentum will remain conserved in the process. Using the conservation of momentum to find it.

m₁u₁ + m₂u₂ = (m₁+m₂)V

`V=(m_1u_1+m_2u_2)/((m_1+m_2))\\\\=(1141* 16+2916 * 0)/((1141 +2916 ))\\\\=4.49\ m/s`

So, the required speed of the two cars is 4.49 m/s.