Physics I Lab Manual 2011 62

Physics I Lab Manual 2011 62 - total work done on the...

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EXPERIMENT 8. WORK AND ENERGY KE = 1 2 M tot ( r dt ) 2 the uncertainty can be found using equation B.2, the product rule for calculating uncertainties δKE = KE s ± δM tot M tot ² 2 + 4 ± δr r ² 2 where M tot = m c + m f and the uncertainty in this quantity ( δM tot ) can be found from the equation B.1, the sum rule for adding uncertainties. Note the factor of 4 in front of the ( δr r ) 2 term arises because the quantity r is squared in the expression for KE so its uncertainty appears twice and is correlated so the two uncertainties add directly (not in quadrature). 7. For the same point at which you calculated the uncertainty in the kinetic energy, calculate the uncertainty in potential energy PE = m f gh = m f g ( h 0 - r Δ θ ) again neglecting the uncertainty in Δ θ . ( hint first find the uncertainty in the first term m f gh 0 due to the uncertainty in m f , then find the uncertainty in the second term - m f gr Δ θ due to the uncertainties in m f and r then add these uncertainties using the sum rule for adding uncertainties.) 8. For the same point used in the previous calculations, calculate the uncertainty in the
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Unformatted text preview: total work done on the system. 9. From your calculated uncertainty in kinetic energy and potential energy, calculate the uncertainty in the total energy E tot = KE + PE 10. Create columns for the maximum and minimum kinetic energy, potential energy, total energy and work respectively by adding and subtracting your uncertainty in these quantities to the values you measured. 11. Plot the measured range (ie. the maximum and minimum) of the total kinetic energy, the potential energy of the falling mass and the total energy as a function of x . Is the total energy constant within the experimental uncertainty? 12. Plot the measured range (ie. the maximum and minimum) work done by gravity and the measured range (ie. the maximum and minimum) of the change in total kinetic energy versus x . Do they agree within the experimental uncertainty? 52...
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This note was uploaded on 01/27/2012 for the course PHY 2048l taught by Professor Staff during the Fall '08 term at University of Central Florida.

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