An object of mass 2.94 kg, moving with an initial velocity of 4.96 i m/s, collid

Question

An object of mass 2.94 kg, moving with an initial velocity of 4.96 i m/s, collides with and sticks to an object of mass 2.05 kg with an initial velocity of -2.94 j m/s. Find the final velocity of the composite object. The initial velocity of object m_2 is in the j direction. Will this have any influence on the final velocity in the i direction i If the initial y velocity of object m_1 is zero and the initial y velocity of object m_2 is negative, can the combined objects be moving in the positive y direction after the collision?

Explanation / Answer

conservation of momentum

m1u1+m2u2 = (m1+m2)v

alon the x axis

m1+m2*vx = 2.94*4.96

vx = 2.92 m/s i

along y axis

m1+m2*vy = -2.05*2.94

vy = -1.208 i m/sec

v = sqrt(vx^2+vy^2) = 3.16 m/sec

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