A225 kg red bumper car is moving at 3.0 m/s. it hits a stationary 180 kg blue bumper car. the red and blue bumper cars combine and hit a stationary green bumper car of mass 150 kg. the red, blue, and green bumper cars all combine.
what is the final velocity of the combined bumper cars?
a .93m/s
b 1.2 m/s
c 1.7m/s
d 2.7m/s
!

B. 1.2 m/s

Explanation:

First we would find the velocity with which red car and blue car move when they combine after first collision.

Using law of conservation of momentum,

Initial momentum = final momentum

Mass of red Car, Mr = 225 kg

Mass of blue car, Mb = 180 kg

Mass of green car, Mg = 150 kg

Initial velocity of red car, Ur = 3.0 m/s

Initial velocity of blue car, Ub = 0

Initial velocity of green car, Ug = 0

collision 1:

Mr Ur + Mb Ub = (Mr+Mb) V

where, V is the final velocity with which red and blue car moves.

225 × 3 + 0 = (225 + 180 ) V

⇒ V = 675/ 405 = 1.67 kg.m/s

collision 2:

These cars  collide with the green car. Let the final velocity with which the three cars move together after collision: V'

(Mr+Mb) V + Mg Ug = (Mr+Mb+Mg) V'

675 + 0 = 555 V'

⇒V' = 1.2 m/s

Thus, the correct option is B.

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