What is the magnitude of the momentum of a 3400 kg airplane traveling at a speed of 400 miles per hour? (Note that you need to convert speed to meters per second. A mile is 1600 meters.)

The momentum of the airplane = 604452 kgm/s

Explanation:

Momentum: This can be defined as the product of mass and velocity. The S. I unit of momentum is kgm/s.

Mathematically it is expressed as

M = mv ... Equation 1

Where, M = momentum of the air plane, m = mass of the airplane, v = velocity of the air plane.

Given: m = 3400 kg, v = 400 miles per hour

Conversion: 400 (1600/3600) m/s = 177.78 m/s.

Substituting into equation 1

M = 3400 (177.78)

M = 604452 kgm/s.

Thus the momentum of the airplane = 604452 kgm/s