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Statement of a problem № 3149

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Two bodies A and B, having masses mA and mB , respectively, collide in a totally inelastic collision. (i) If body A has initial velocity vA and B has initial velocity vB , write down an expression for the common velocity of the merged bodies after the collision, assuming there are no external forces. (ii) If vA = 5i + 3j m/s and vB = ^i + 4j m/s and mA = 3mB/2, show that the common velocity after the collision is v = 2.6i + 3.4 j m/s (iii) Given that the mass of body A is 1200 kg and that the collision lasts for 0.2 s, determine the average force vectors acting on each body during the collision. (iv) Determine the total kinetic energy after the collision.

Solution:
Two bodies A and B, having masses mA  and mB , respectively, collide in a totall

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