a green croquet ball of mass 0.50 kg is rolling at +12 m/s. it collides with a blue croquet ball that also
has a mass of 0.50 kg, it is initially at rest.

a. if the green ball continues moving forward with a velocity of +2.4 m/s, what is the final velocity
of the blue croquet ball?

b. if the green ball continues moving forward with a velocity of +0.30 m/s, what is the final
velocity of the blue croquet ball?

c. if the green ball comes to a stop after the collision, what would the final velocity of the blue
croquet ball be?

( my questions are due by 4: 00 and i was not taught any of the questions i’ve asked! )

a) 9.6 m/s

b) 11.7 m/s

c) 12 m/s

Explanation:

This problem can be solved by the Conservation of Momentum principle, which establishes that the initial momentum must be equal to the final momentum :  

(1)  

Where:  

(2)  

(3)  

is the mass of green ball

is the mass of the blue ball

is the initial velocity of the green ball  

is the initial velocity of the blue ball  

is the final velocity of the green ball

is the final velocity of the blue ball  

Substituting (2) and (3) in (1):

(4)  

Isolating :

(5)  

(6) This is the equation we will use for the next cases

Knowing this, let's begin with the answers:

a) In this case and we have to find

(7)

(8)

b) In this case and we have to find

(9)

(10)

c) In this case and we have to find

(11)

(12)

0.11 m/s and 0.28 m/s should be correct