The momentum value for both Big rig and sport utility vehicle are the same as 16000 pound mph
<u>Explanation:</u>
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