IP A block slides on a horizontal, frictionless surface until it encounters a sp

Question

IP A block slides on a horizontal, frictionless surface until it encounters a spring with a force constant of 940 . (Ignore air resistance and any energy lost when the block initially contacts the spring.) (Figure 1) http://session.masteringphysics.com/problemAsset/1123723/3/5416308030_104.jpg 1.Suppose the mass of the block is 1.80 , but its initial speed can be varied. What initial speed is required to give a maximum spring compression of 3.80 ? v(i)=__m/s? 2.Suppose the initial speed of the block is 1.17 , but its mass can be varied. What mass is required to give a maximum spring compression of 3.80? m=__kg?

Explanation / Answer

energy conservation 0.5*m*v^2=0.5*k*x^2 0.5*1.8*v^2=0.5*940*3.8^2 v=86.83m/s 0.5*m*1.17^2=0.5*940*3.8^2 m=9915.69 kg

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