Answer :
The final momentum will be the sum of the initial momentum of the two vehicles. The final velocity of the combined mass will be 5.9 m/s.
What is collision?
Collision is a short range force exerted by an object on other object make them move either to the same side or opposite sides based on their mass.
Momentum of a moving body is the product of its mass and velocity. During a collision, the initial momentum will be equal to the final momentum.
The momentum of the car = mass × velocity
= 1193 Kg × 27.6 m/s
= 32926 kg m/s
The initial momentum of the truck is zero because it was stationary.
The final momentum with the velocity v, of the combined mass is equal to the total initial momentum i.e. 32926 kg m/s.
32926 kg m/s = (1193 Kg + 4302 Kg) v
v = 32926 kg m/s / (1193 Kg + 4302 Kg)
= 5.9 m/s.
Therefore, the final velocity of the vehicles when they stuck together is 5.9 m/s.
To find more on momentum, refer here:
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