{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Physics I Lab Manual 2011 62

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

This preview shows page 1. Sign up to view the full content.

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 + 4 δr r 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
This is the end of the preview. Sign up to access the rest of the document.

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 Δ 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 Δ x . Do they agree within the experimental uncertainty? 52...
View Full Document

{[ snackBarMessage ]}

Ask a homework question - tutors are online