If the uncertainty in the weak mixing angle was due to the uncertainties in the W...
only one problem (Exercise 1-11 only)
Uncertainties in Measurement and Propagation of Errors one measurement is made and often the peecision of the instrument is used as arn mate of the uncertainty. the instrument and the situation, the uncertainty Depending upon could be less than the precision of the instrument or it could be more. For example, in measuring we may estimate the distance between the small est subdivision (mm) if we rurn the meter stick onto its side to...
Calculate the velocity and the propagated uncertainty in the
calculated velocity due to the uncertainty in the height and the
acceleration due to gravity.
Problem 1 In an experiment kinetic energy is changed to potential energy with negligible loses so the initial height is related to the maximum velocity. Assuming the minimum height is zero, the maximum velocity can be found using mgh 1/2mv2 vis the velocity. Ifg at that location is known to be 9.792 0.011 m/s2 and h...
A buffer is made by mixing equal amounts of weak acid H2PO4 and its conjugate base PO42-. The chemical equation for the buffer is H2PO4 + H20 = P042- + H30+ Calculate the pH of the buffer solution knowing that Ka-6.3x10-8
Both the angle and the magnitude of the force have a certain uncertainty: εF = 30N and ε = 0.8 degrees. Using the propagation methods described in the lecture you watched at the beginning of this prelab, calculate the corresponding propagated uncertainty for Fx, in N
1)What is the uncertainty in the magnitude of the gravitational force on a block with mass m = 150±0.29 g? Consider acceleration due to gravity to be g=9.81 m/s2. Refer to the equations in the lab manual. 2)What is the magnitude of the gravitational force on a block with mass m = 234±1 g? Consider acceleration due to gravity to be g=9.81 m/s2 3)Consider the vector A, with magnitudes Ax = 128.3 N and Ay = 228.7 N. Calculate the...
The Hipparcos satellite, which has given us most of our best modern measurements of parallax, has an uncertainty in its measurements of the parallax angle of 0.001". For a star with a parallax of 0.004" what is the distance to the star? What is the uncertainty in that distance? What is the percentage uncertainty? At what distance is the distance uncertainty 10%
The Hipparcos satellite, which has given us most of our best modern measurements of parallax, has an uncertainty...
Starting from equation (6), derive the equation for the
experimental uncertainty in wavelength due to the uncertainties in
d and θ. Refer to page xx of the introduction of the lab manual for
information on handling the sine function. Do not use calculus.
If the ruling spacing is known and the angular position of a spectral line in a known order is measured, the wavelength of the light forming that spectral line can be calculated: dsin Obright 2=- m If...
Only do exerice 1-9
220AL-E1 he uncertainty in an experimental quantity must be reported. Since there are a number of ways to do this we must state the meaning of the uncertainty. A Estimated uncertaint Sometimes we make several measurements that are identical. Eq 1-2 would yield ơx-0, which could lead to the mistaken impression that the uncertainty is zero when in fact the precision of the instrument is less than the random errors. We must estimate the uncertainty, and,...
A fruit juice cocktail is prepared by mixing apple juice concentrate (30% w/w sugar), cranberry concentrate (17% w/w sugar) and grape juice concentrate (25% w/w sugar) in 1:0.5:0.5 proportions (1 part of apple concentrate for 0.5 part of cranberry concentrate and 0.5 part of grape concentrate) respectively. Water is added to this mix such that the sugar content in the final juice product is 10% (w/w). Calculate the amount of each juice concentrate necessary to prepare 1000 kg of fruit...
d) A projectile is launched with an initial velocity w at an angle 0 above the horizontal In terms of V, 0 and acceleration due to gravity g, determine for the projectile i) the time to reach its maximum height and ii) its maximum height (7 marks)