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

and 1and 1

c. magnitude and direction