an object of mass 20kg moving to the right with a speed of 5m/s collides with an

Question

an object of mass 20kg moving to the right with a speed of 5m/s collides with an object motioning towards it having a mass 5kg is moving to the left with a velocity of 4m/s. which way is it moving and with what speed after the collision? an object of mass 20kg moving to the right with a speed of 5m/s collides with an object motioning towards it having a mass 5kg is moving to the left with a velocity of 4m/s. which way is it moving and with what speed after the collision? an object of mass 20kg moving to the right with a speed of 5m/s collides with an object motioning towards it having a mass 5kg is moving to the left with a velocity of 4m/s. which way is it moving and with what speed after the collision?

Explanation / Answer

Conserving momentum

m1u1 + m2u2 = m1v1 + m2v2

20*5 - 5*4 = 20v1 + 5v2

Conserving energy

KE_i = KE_f

0.5*20*5^2 + 0.5*5*4^2 = 0.5*20v1^2 + 0.5*5*v2^2

Solving both equations we get

v1 = 1.4 m/s

v2 = 10.4 m/s

both towards right

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