Question

# A 1,900 kg vehicle traveling east on Anderson Avenue at 59.0 km/hr collides with a 3,800...

A 1,900 kg vehicle traveling east on Anderson Avenue at 59.0 km/hr collides with a 3,800 kg vehicle traveling north across Anderson Avenue at 21.0 km/hr. If they stick together on collision, what is the magnitude and direction of their velocity just after colliding?

__________ km/hr

__________ ° north of east.

Given that

The mass of the first vehcile (m1) =1900kg

Mass of the second vehcile(m2) =3800kg

Initial velocity of the first vehicle is(vi) =59km/hr =16.3889m/s

Initial Velocity of the second vechile (v2) =21km/hr = 5.833m/s

The final velocity of the vechicle after collision is given from the conservation of momentum

m1v1+m2v2 =(m1+m2)v

v =m1v1+m2v2/(m1+m2)

=1900*16.3889i+3800*5.833j/(1900+3800) =

=5.4629i+3.8886j m/s

=19.666i+13.998j km/hr

The magnitude and direction of their velocity just after colliding is given

theta =tan-1(3.8886/5.4629) =35.444degrees of north of east

The magnitude of direction is given by