Respuesta :
The speed of the center of mass of the truck-car system as the truck and car move off together is 4/5v.
State the principle of conservation of momentum
An explanation of the law of conservation of momentum is provided below.
For an isolated system, the total momentum of the two objects prior to their collision and their total momentum following it are identical.
The aforementioned statement asserts that a system of objects has a constant or stable total momentum. Momentum conservation refers to this.
The following informations are given in the question,
The mass of the large truck = 4m
The velocity of the large truck = v
The mass of the small car = m
According to the conservation of momentum,
m1vi1 +m2vi2 = m1vf1 + m2vf2
where,
m1 = mass of the truck
m2 = mass of car
vi1 = initial velocity of truck
vf1 = final velocity of truck
vi2 = initial velocity of car
vf2 = final velocity of car
After the collision the car and the truck move together with the same velocity say v.
After the collision the conserving momentum will be:
m1v + m2x0 = (m1 + m2)V
4mv + 0 = 5mV
4mv = 5mV
V = 4/5
As the momentum of the system is conserved as such there is no acceleration and the center of mass of the car-truck system move with the velocity of 4/5v.
Hence, the answer is 4/5v.
To learn more about conservation of momentum from the given link
https://brainly.com/question/7538238
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