Can someone show, and explane how to work this step by step? By accident, a larg
ID: 1433166 • Letter: C
Question
Can someone show, and explane how to work this step by step?
By accident, a large plate is dropped and breaks into three pieces. The pieces fly apart parallel to the floor, with v1 = 3.25m/s and v2 = 1.85 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 = 0.924 kg Correct answer m2 = 0.97 kg Correct answerExplanation / Answer
we will need to draft equations for conservation of momentum along horizontal and vertical axis.
Along y axis
0 = m1 3.25 cos 25 + m2 1.85 sin 45 - (1.30)( 3.07)
0 =2.945 m1 + 1.308 m2 - 3.991 ---------eq(1)
alonx x ax-s
m13.25sin 25 - m2 1.85cos 45 = 0
m1 (1.373) = m2(1.308)
m1= 0.9527 m2 apprx------------plugging this value in eq(1)
0 =2.945 (0.9527 m2) + 1.308 m2 - 3.991
4.113 m2= 3.991
m2= 0.97 kg apprx
m1= 0.9527 ( 0.97) = 0.9244 kg apprx