Respuesta :
The momentum value for both Big rig and sport utility vehicle are the same as 16000 pound mph
Explanation:
Given data are as follows
For Big rig, Mass = 80,000 pound (36,000 kg)
velocity = 2 mph (0.89 m/s)
where mph is meter per hour
For sport utility vehicle, Mass = 40,000 pound (1800 kg)
velocity = 40 mph (18 m/s)
The formula to find the Momentum of an object is
Momentum = Mass × Velocity (Kilogram meter per second)
Momentum for Big rig = 80,000 × 2 (pound mph)
= 1,60,000 pound mph
Momentum for sport utility vehicle = 4000 × 40 (pound mph)
= 1,60,000 pound mph
Hence it is mathematically proved that
The momentum of big rig = The momentum of sport utility vehicle
1,60,000 pound mph = 1,60,000 pound mph
The momentum of the big rip and the momentum of the sport utility vehicle is 160000 pound/mph. The momentum of both is same is proved mathematically.
What is conservation of momentum?
Momentum of a object is the force of speed of it in motion. Momentum of a moving body is the product of mass times velocity.
When the two objects collides, then the initial collision of the two body is equal to the final collision of two bodies by the law of conservation of momentum.
The mass of big rip is 80,000 pounds (36,000 kg) and the speed of big rip is 2 mph (0.89 m/s).
Thus the momentum of the big rip is,
[tex]M_1=80000\times2\\M_1=160000\rm pound/mph[/tex]
The mass of a sport utility vehicle is 4,000 pounds (1,800 kg) and the speed of sport utility vehicle is 40 mph (18 m/s)
Thus the momentum of the sport utility vehicle is,
[tex]M_1=4000\times40\\M_1=160000\rm pound/mph[/tex]
Hence, the momentum of the big rip and the momentum of the sport utility vehicle is 160000 pound/mph. The momentum of both is same is proved mathematically.
Learn more about the conservation of momentum here;
https://brainly.com/question/7538238
