Understanding the Concepts

* Inelastic Collision: In an inelastic collision, kinetic energy is not conserved. Some of the kinetic energy is lost, usually as heat, sound, or deformation of the objects.

* Momentum Conservation: In any collision, the total momentum of the system remains constant. Momentum is calculated as:

* Momentum (p) = mass (m) * velocity (v)

Setting Up the Problem

Let's denote:

* m = mass of the car (we'll assume this is the standard unit of mass for simplicity)

* 8m = mass of the truck

* v_car = initial velocity of the car = 60 km/hr

* v_truck = initial velocity of the truck = 0 km/hr

* v_final = the final velocity of the car and truck together

Applying the Conservation of Momentum

The total momentum before the collision equals the total momentum after the collision:

* Momentum Before = Momentum After

* (m * v_car) + (8m * v_truck) = (m + 8m) * v_final

Solving for the Final Velocity

1. Plug in the values: (m * 60) + (8m * 0) = (9m) * v_final

2. Simplify: 60m = 9m * v_final

3. Solve for v_final: v_final = 60m / 9m = 6.67 km/hr

Answer

The car and truck will move together at a speed of 6.67 km/hr after the collision.