You accidentally dropped a 3.5 kg glass platter. Before it hit the floor, the motion was entirely

in the vertical direction. When it hit the floor,

it broke into three pieces and they all moved

out in the plane of the floor. Imagine a coor-

dinate system on the floor. Piece 1 had a

mass of 1.3 kg and it moved off with a velocity

of 1.8 m/s at an angle of 52˚ counterclockwise

from the positive x axis. Piece 2 with a mass

of 1.2 kg moved off with a velocity of 2.5 m/s

at an angle of 61˚ clockwise from the negative

x axis. Find the mass and the velocity of

piece 3.