Asmall ball of mass m is
travelingwith an initial velocity v in the positive
xdirection. it collides with a larger ball of mass m that
is initially at rest. after the collision, the smaller ball isat
rest. what is the final velocity, v, of the
largerball?
a.) v=v
b.) v= -v
c.) v= 0
d.) v= (m/m)v
e.) v=(m/m)v
answer and explanation would be great. if you dont know
not answer.

E) V=(m/M)v

Explanation:

Given that

Mass of the small ball = m

Initial velocity of the small ball = v

Mass of the larger ball = m

Initial velocity of the  larger ball = 0

After the collision

The velocity of the small ball  = 0

The velocity of the  larger ball  = V

There is no any external force that is why linear momentum will be conserve.

From linear momentum conservation

Pi=Pf

m v  + M x 0 = m x 0 + M V

m v +0 = 0 + M V

Therefore the answer will be E.

E) V=(m/M)v

answer: a ball

explanation: because it will bounce

when two balls of the different masses are dropped from equal height, they reach the ground at the same time .this is because they experience the same acceleration.

the acceleration is independent of mass.

thus when they are dropped they will always maintain the same velocity and travel the same distance (neglect air resistance of course) at the same time.