Question

A small 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
pleasedo not answer.

Answer 1

E) V=(m/M)v

Step-by-step 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

`V=(mv)/(M)`

Therefore the answer will be E.

E) V=(m/M)v