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Solving Spring Compression Problem with Friction

Calculate compression of a spring with friction given applied force, spring constant, and mass, using energy conservation and work equations.

evan-mcpherson
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Solving Spring Compression Problem with Friction

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  1. 2 Picture Problems

  2. Spring constant = 3kN EA - Efriction = EB A Compressed 16 cm 50kg PEspr + PEgrav - W = 0 1/2kx2 + mgh - Ff d = 0 1/2(3000)(.16)2 + 50(9.8)(20) - .575(50)(9.8)d = 0 20 m 38.4 + 9800 - 282d = 0 d = 34.9 m B µ = .575 d?

  3. v? 40 3.0 m

  4. X 3 cos40 = v? EA = EB PEgrav = KE x = 2.3 40 mgh = 1/2mv2 3.0 m x 9.8(.7) = ½ v2 v = 3.70 m/s A h x + h = 3 2.3 + h = 3 B h = .7 m

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