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Hello everyone.
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There is a spring mass system with this spring stiffness of 180 newton per meter and mass of 0 .3 kg.
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The system is relieved with the initial compression of spring of 13 centimeters and the initial speed is 3 meter per second.
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We have to find the maximum stretch during the motion, which is a.
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Then we have to find the maximum velocity during the motion and then we have to find the power.
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If the energy is given to be 0 .03 jude.
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From the law of conservation of energy, we know that the initial kinetic energy plus the initial potential energy of the system is equal to the final kinetic energy of the system plus final potential energy of the system.
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So this is half m v0 square plus half of kx square is equal to since we have to find the maximum stretch.
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That is, this is basically a max.
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So if this is the maximum stretch, then potential energy in the final state has to be maximum.
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For that, kinetic energy has to be zero.
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Therefore, we have zero plus half of ka squared.
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So let us put the values.
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We have half of 0 .3 kgues multiplied by the initial velocity is 3 .3.
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Square plus half of 180 and x is given to be 13 centimeter or 0 .13 meters.
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This is square is equal to half of k is again 180 and a something that we have to find.
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Half will be cancelled out in overall equation.
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So we have 2 .7 plus 3 .042 is equal to 180...