An object with mass,initially at rest, explodes into two fragments, one with mas

Question

An object with mass,initially at rest, explodes into two fragments, one with mass and the other with mass , where . part A: If energy is released in the explosion, how much kinetic energy does eachfragment have immediately after the collision? Express your answers in terms of thevariables , , and .Enter your answers separated by a comma. = part b: What percentage of the total energy releaseddoes each fragment get when fragment has four times the mass of the other? Enter your answers numericallyseparated by a comm

Explanation / Answer

y the conservation of momentum m'v + m''u = 0 m' + m'' = m v / u = - m'' / m' m'/m''(v/u)^2 = m'' / m' the ratio of the kinetic energys of the masses is equal to theinverse ration of the masses of the fragments . if Q is the total kinetic energy of the fragments (m''/m') = kinetic energy of mass m' / kintic energy of massm'' KE(m')+ KE(m'') = Q . when the mass of A if 4 times mass ofB the kinetic energy of B : kinetic enrgy of A = 4 : 1

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