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Consider the adjacentfigure . Aknife of mass 1 kg slides on a frictionless wedgeof mass 5 kg between two frictionlessguides. At the instant shown, the spring has initial compression of 1 m. The ground is also frictionless.The velocity of the wedge when the knife edge is about to touch the ground (6k)/(sqrt(89))m//s. find the value of k. ( AsSigmae the spring to be ideal also for large compression) |
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Answer» Solution :Let `V_(w)=` VELOCITY of WEDGE By conservationof mechanicalenergy `1XX10 xx 3 + 1/2 xx 1 xx 1^(2)= 1/2xx1xx(3/2 V_(w))^(2)+1/2xx5(V_(w))^(2)+1/2xx1xx5^(2)` `rArr V_(w)=(24)/(sqrt(89))`m/s Hence `k=4` |
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