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physics7a-SPRING06-final-Lanzara-soln

physics7a-SPRING06-final-Lanzara-soln - E initial = E final...

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LANZARA Final Exam 06 Problem #1 a) Find the energy dissipated by friction Using conservation of energy: E_initial – E_final = E_dissipated Initially the system has Kinetic energy, finally it has none. E_final=0 E dissipated = 1 2 mv o b) Find the External work done on the system Using Work-Kinetic Energy Theorem, KE_final-KE_in i tia l = Work_external = 0 (note this is on the SYSTEM, so friction cancels) Work = 0 c) Method 1)

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Unformatted text preview: E initial = E final + W nonconserved Work = F fr • d Force and distance are along same direction, so W=Fd 1 2 mv o = F fr d Use Ffr=ukN, and summing forces in y direction: N-mg=0 N=mg Solve for d: d = v o 2 2 μ k g METHOD 2 Sum forces in x: " F fr = ma gives a = " k g Use the equations for constant acceleration: v f 2 = v o 2 + 2 ad where vf =0 gives same result as above for d...
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