By accident, a large plate is dropped and breaks into three pieces. The pieces f

Question

By accident, a large plate is dropped and breaks into three pieces. The pieces fly apart parallel to the floor, with v_1 = 2.90 m/s and V_2 = 1.55 m/s. As the plate falls, its momentum has only a vertical component, and no component parallel to the floor. After the collision, the component of the total momentum parallel to the floor must remain zero, since the net external force acting on the plate has no component parallel to the floor. Using the data shown in the drawing, find the masses of pieces 1 and 2. m1 = m2 =

Explanation / Answer

Conserve momentum along x axis and y axis.

x axis :

m2v2cos45 - m1v1sin25 = 0

1.096m2 = 1.226m1

y axis :

m2v2sin45 + m1v1cos25 - m3v3 = 0

1.096m2 + 2.628m1 = 3.991

Using the above two equations we get

1.266m1 + 2.628m1 = 3.991

m1 = 1.025 kg

m2 = 1.226m1 /1.096 = 1.147 kg

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