a 1.2kg spring-activated toy bomb slides on a smooth surface along the x-axis with a speed of .05m/s. A the origin 0, the bomb explodes into two fragments. Fragment 1 has a mass of .40kg and a speed of .90m/s along the negative y-axis. Find the magnitude and direction of the velocity of fragment 2.

Explanation:

m = Mass of initial piece = 1.2 kg

= Velocity of toy in x direction = 0.05 m/s

= Velocity of toy in y direction = 0

= Velocity of fragment 1 in x direction = 0

= Velocity of fragment 1 in y direction = -0.9 m/s

= Velocity of fragment 2 in x direction

= Velocity of fragment 2 in y direction

= Mass of fragment 1 = 0.4 kg

= Mass of fragment 2 = 1.2-0.4 = 0.8 kg

Applying conservation of momentum in x axis

Applying conservation of momentum in y axis

From the above two final equations we get

The direction of the fragment 2 is

The velocity of fragment 2 is

not too sure thinking all accelerations are pointed down