If an object M1=40kg elastically collides with another object m2=30kg which happens to be initially at rest, what would be the velocity of m1 before and after the collision.
Homework Answers
given data
m1 = 40 kg
m2 = 30 kg
v2 = 10 m/s
ui=?
v1 =?
it is an elastic collision
so, From teh conservation of linear momentum
Pi = Pf
resolve the velocity components
horizontally Pi = Pf
m1*u1 cos(30)+0 = m1*v1*cos(60)- m2*v2 *sin(25)
40*u1*0.866 = 40*v1 *0.5 - 30*10*0.422
34.64 u1 = 20*v1 - 126.6-----------------------(1)
vertically,
m1*u1 sin(30)+0 = m1*v1*sin(60)- m2*v2 *cos(25)
40*u1*0.5 + 0= 40*v1*0.866 - 30 * 10*0.906
20 u1 = 34.64*v1 - 271.8------------(2)
From (1)
u1 = (20*v1 - 126.6)/(34.64) substitute in (2)
20*( (20*v1 - 126.6)/(34.64)) = 34.64*v1 - 271.8
v1 = 8.604 m/s after collision
so,, 20 u1 = 34.64*8.604 - 271.8
u1 = 1.312 m/s Before collision.
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