I need help with this word problem please: An object (A) of mass 0.1kg strikes a

Question

I need help with this word problem please:

An object (A) of mass 0.1kg strikes a second object (B), of mass0.3kg that is initially at rest. Mass A has an initial velocity of+2 m/s.
(a) assume that the collision is entirely elastic. Calculate anddescribe the final velocities for the two objects.. Assume thatthis problem is entirely one-dimensional.
(b) Now assume that the collision is totally inelastic. Againcalculate and describe the final state for these objects.
(c) For the inelastic collision case, calculate the total energy ofthe system before and after the collision. Is mechanical energyconserved in this case; if not, account for the discrepancy.

Explanation / Answer

Given that      v1i = 2.0 m/s      m1 = 0.1 kg      m2 = 0.3 kg a) v1f = (m1 -m2) * v1i / (m1 +m2)     v2f = 2m1 * v1i / (m1 +m2) b) when collision is in elastic after collision twobodied travel with a common velocity       vf = m1v1i   / (m1 +m2) c) According to conservation of mechanical energy wehave            KE1 + PE1 = KE 2 + PE 2             0.5 m1v1i2 + 0 =(m1 + m2)vf2    In this case the conservaion of mechanical energynot conserved. Substitute values.    In this case the conservaion of mechanical energynot conserved. Substitute values.

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