Physics Conservation of Momentum Question?

Sena Highman: Let v1 be th velocity of the incident block and let v2 be the velocity of the hit identical block, after explosion.Momentum conservation gives us(mv1) + (mv2) = (m*5), we do not know the signs also of v1 and v2, or v1 + v2 = 5 ------------------------------------------- (1)As kinetic energy is doubled we have (1/2)mv1^2) + (1/2)mv2^2) = 2*(1/2)*(5^2) orv1^2 + v2^2 = 50 ----------------------------------- (2), We know (v1+v2)^2 + (v2-v1)^2 = 2*(v1^2 + v2^2), substituting from (1) and (2) we get25 + (v2-v1)^2 = 100 or(v2 -v1) = sq rt(75) = 5*sq rt(3) -------------------------- (3) assuming that v2 > v1Subtracting (3) from (1) we get2v1 = 5 - {5*sq rt(3)} = -5*[{sq rt(3)} -1] orv1 = -2.5*[{sq rt(3)} -1] = -1.83 m/s...Show more