Question

A 3,162-kg truck moving with a velocity of 12 m/s to the East hits a 510-kg parked car. The impact causes the car to be set in motion at 24 m/s East. What is the velocity of the truck immediately after the collision?

Answer 1

Given:

The mass of the truck is m1 = 3162 kg

The speed of the truck is v1i = 12 m/s in East

The mass of the parked car is m2 = 510 kg

The speed of car is v2i = 0 m/s

The speed of car after collision is v2f = 24 m/s in East

To find the speed of the truck after collision.

Step-by-step explanation:

The final velocity of the truck will be

`\begin{gathered} m1v1i+m2v2i=m1v1f+m2v2f \\ v1f\text{ =}(m1v1i-m2v2f+m2v2i)/(m1) \\ =(3162*12-510*24+510*0)/(3162) \\ =8.129\text{ m/s} \end{gathered}`

Thus, the speed of the truck after collision is 8.129 m/s