Two vehicles approach a right angle intersection and then suddenly collide. After the collision, they become entangled. If their mass ratios were 1:4 and their respective speeds as they approached the intersection were both 13 m/s, find the magnitude and direction of the final velocity of the wreck.

Answer with Explanation:

Let mass of one vehicle =m

Mass of other vehicle=m'

Velocity of one vehicle=

Velocity of other vehicle=

In x- direction

By law of conservation of momentum

In y- direction

By law of conservation of momentum

Magnitude of velocity of the wreck,V=

Direction:

305.7

explanation:

density =m/v

density =917/3.00

density = 305.

approximately = 305.7

in four significant figures