Solve the set of simultaneous equations above for the final velocities of the bl

Question

Solve the set of simultaneous equations above for the final velocities of the blocks after the collision given:

v1i =2.0 m/sec, v2i= -2.0 m/sec, m1= 0.50 kg, m2= .30 kg

(zero credit for just using canned formulas and if you do not use your own algebra. awnsers should be (1.0, 3.0) Use Sig Figs.

Also use conservation of momentum and conservation of energy.

Explanation / Answer

by conservation of momentum we have m1v1i - m2v2i = -m1v1f + m2v2f 0.5*2 - 0.3*2 = -0.5v1f + 0.3v2f => 0.4 = 0.3v2f-0.5v1f ---(1) uisng conservation of energy we get 1/2m1v1i^2 + 1/2m2v2i^2 = 1/2m1v1f^2 + 1/2m2v2f^2 =>0.5*4 + 0.3*4 = 0.5v1f^2 + 0.3v2f^2 => 3.2 = 0.5v1f^2 + 0.3v2f^2---(2) v1f = 0.6v2f - 0.8 substituting in (2) we get v2f = 3 substitute v2f= 3 in (1) we get v1f =1

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