Partidle A and particle are held together with a compressed spring between them.

Question

Partidle A and particle are held together with a compressed spring between them. When they are released, the spring pushes them apart and they then fly oft in opposite directions, free of the spring. The mass of A is 2.00 times the mass of B, and the energy stored in the spring was 801. Assume that the spring has negligible mass and that all its stored energy is transterred to the particles. Once that transter is complete, what are the kinetic energies of (a) partide A and (b) particle 5 sorno beliv ts ee mased spring betw tnat t a) Number (b) Number Unit

Explanation / Answer

Let 1 denote particle A and 2 denote particle B

Conservation of momentum

m1v1=m2v2; m1=2*m2

2*v1=v2

Energy conservation

0.5m1*v12 + 0.5*m2*v22=80

2m2*v12+ m2*v22 =160

2m2*(v2/2)2 +  m2*v22 =160

m2*v22 *(0.5+1)=160

m2*v22=106.66

energy of particle B= 0.5*m2*v22 = 53.333 J

energy of particle A= 80-53.333 = 26.667 J

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