a masseless spring is between a 1 kg mass and a 3 kg mass butis not attached to

Question

a masseless spring is between a 1 kg mass and a 3 kg mass butis not attached to either mass. Both masses ar on ahorizontal frictionless table. The 1 kg mass located on theleft is held in place and the spring is compressed by pushing onthe 3 kg mass which is on the right. The 3 kg mass is thenreleased and moves off with speed of 10 m/s Determine the minimum work needed to compress the spring inthis experiment. The spring is compressed again exactly as above but this timeboth masses are released simultaneously Determine the final velocity of each mass relative to thetable after the masses are released a masseless spring is between a 1 kg mass and a 3 kg mass butis not attached to either mass. Both masses ar on ahorizontal frictionless table. The 1 kg mass located on theleft is held in place and the spring is compressed by pushing onthe 3 kg mass which is on the right. The 3 kg mass is thenreleased and moves off with speed of 10 m/s Determine the minimum work needed to compress the spring inthis experiment. The spring is compressed again exactly as above but this timeboth masses are released simultaneously Determine the final velocity of each mass relative to thetable after the masses are released

Explanation / Answer

W=K W=.5mv^2 W=.5(3)10^2 W=150 joules The same energy is stored in the spring but now it is an internalforce so the momentum is maintained 0=m1v1+m2v2 0=3v1+1v2 v2=-3v1 .5m1v1^2+.5m2(v2)^2=150 .5(3)v1^2+.5(-3v1)^2=150 6v1^2=150 v1=5 v2=-15

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