Question

The roads are icy, and you observe a head-on collision on Summit, at the corner with Rhodes: a 1ton car swerves out of his lane and slides through a stop sign at 41 mph straight into a 3 ton SUV traveling at 16mph in the other direction. The car and the SUV crumple from the collision, and stick together.

1. What is the final velocity, in MPH (you don't need to enter MPH in your answer) , of the SUV/car entanglement (the positive direction is the direction the car was initially going)

Answer 1

final velocity = - 1.75 mph

Step-by-step explanation:

given data

mass m1 = 1 ton

mass m2 = 3 ton

velocity v = 41 mph

velocity u = 16 mph

to find out

what is final velocity V

solution

we will apply here Conservation of momentum that is express as

mv + Mu = (m + M) × V ...........................1

put here value we get

1 × 41 - 3 × 16 = (1 + 3 ) × V

solve it we get

41 - 48 = 4 V

V =
`(-7)/(4)`

final velocity = - 1.75 mph