Abullet of mass of 0.05kg is fired horizontally into a 10 kg block which is free to move with a velocity of 0.5mls after impact find the velocity with which the bullet hit the body? show work plz..

It is given that :

Mass of bullet, = 0.05 Kg

Mass of block, = 10 kg

velocity after impact, v = 0.5 m/s

Let  is the velocity with which the bullet is fired.

Using law of conservation of momentum :

the displacement produced by the body.  

the amount of force subjected to the body.  

the angle between the direction of force and displacement

find the surface area of the sphere to the nearest square unit. use a calculator.

a. 254 in.2

b. 64 in.2

c. 127 in.2

d. 1,018 in.2