Mary is driving a car of mass 900 kilograms toward the north with a velocity of
22 meters/second. danny is driving his 900–kilogram car with a velocity of
15 meters/second toward the east. they collide and both cars move together afterwards. what is the magnitude of the resultant momentum of the cars after the collision?

Since both cars move together after the collision, then this is an example of an inelastic collision. The formula for an inelastic collision is as follows:

m1u1 + m2u2 = (m1 + m2)v

Where:

m1 = mass of the first object
m2 = mass of the second object
u1 = initial velocity of the first object
u2 = initial velocity of the second object
v = final velocity

Substituting the given values to solve for v:

900*22 + 900*15 = (900 + 900)v
v = 18.5 m/s

Answer;

= 33,300 Kg m/s

Explanation;This is an example of inelastic collision since both cars move together after the collision,Therefore; initial momentum is equal to final momentum;

Initial momentum= M1V1 + M2V2

                            = (900× 22)+ (900 × 15)

                            = 33,300 Kg m/s

Since; initial momentum = final momentum

Final momentum or the resultant momentum = 33,300 Kg m/s