Question

Car of mass 1300 kg travels at a velocity of 100 km/h and collides into a truck head on. Mass of the truck is 12000kg. Vehicles stick together. Find the velocity of the vehicles immediately after collision when truck's velocity was 85 km/h.

Answer 1

To find the final velocity of the vehicles after the collision, we can apply the principles of conservation of momentum. The final velocity of the combined vehicles after the collision is approximately 87.92 km/h.

Step-by-step explanation:

To find the final velocity of the vehicles after the collision, we can apply the principles of conservation of momentum. Conservation of momentum states that the total momentum before the collision is equal to the total momentum after the collision.

First, we need to calculate the initial momentum of each vehicle. The initial momentum of the car is found by multiplying its mass (1300 kg) by its velocity (100 km/h), and the initial momentum of the truck is found by multiplying its mass (12000 kg) by its velocity (85 km/h).

Since the vehicles stick together after the collision, their masses will add up and we can calculate the final velocity by dividing the total momentum before the collision by the combined mass of the vehicles.

Using these calculations, we find that the final velocity of the combined vehicles after the collision is approximately 87.92 km/h.