Two cars initially at rest are free to move the in the x direction car a has mass 4 kg and car b has mass 2kg they are tied together compressing a spring in between them when the spring holding them together is burned car a moves off with a speed of 2 metre per second how much energy was stored in the spring before it was burned
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Thus the energy stored in the spring before it it was burned is 24 J.
Explanation:
According to the law of conservation of momentum:
mAvA+mB+vB=0 [Initially both of them were at rest]
Now find V(B)
vB = −mAvA / mB
= − (4)(2)/(2)
= − 4 m/s
(b) E = 1/2mAv^2(B) + 1/ 2mBv^2(B)
E = 1/2(4)(2)^2 + 1/2(2)(−4)^2
= 24 J
Thus the energy stored in the spring before it it was burned is 24 J.
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