2. (a) Determine the velocity of a bullet measured at 100 m/s, ± 0.001 m/s. If the mass of the bullet is 20g, determine the uncertainty in the bullet's position in meters. (b) Is the uncertainty in position significant in this case.
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- If you have a simple pendulum where the equation of its linear graph is : L = g(T/2pi)2 where x = (T/2pi)2 and Y = L (where L is the length of the pendulum in m) and b=0. How will you calculate the uncertainty of X and Y? ??= ? ??= ?3. The equation 1.45 in our textbook says that the de Broglie wavelength as a function of temperature is given by 1 Assuming the accepted accuracy for h, R, and m are very high, what is the V3MRT maximum uncertainty in the de Broglie wavelength if AT is the uncertainty in temperature?Find the uncertainty in the moment of interia. Moment of interia of a disk depends on mass and radius accordng to this function I(m,r) = 1/2 m r. Your measured mass and radius have the following uncertainties Sm = 0.34 kg and Sr = 0.17 m. What is is the uncertainty in moment of interia, %3D S1 , if the measured mass, m 6.05 kg and the measured radius, r = 14.74 m? Units are not needed
- Consider the following measurements of a mass and speed for an object using the formula determine the momentum uncertainty of the object. Express answer in g•m/s Find the uncertainty in kinetic energy. Kinetic energy depends on mass and velocity according to this function E(m,v) = 1/2 m v2. Your measured mass and velocity have the following uncertainties Sm = 0.38 kg and Sv = 0.1 m/s. What is is the uncertainty in energy, SE , if the measured mass, m = 3.1 kg and the measured velocity, v = -7.52 m/s? Units are not needed in your answer.Calculate the uncertainty in a force given the measurements m = 0.575kg ± 0.010kg and a = 9.80 + 0.05. m m s2
- nominator so that the units would cancel out properly. S. Q6: Convert the lengths 9.24 mm, 74.8 cm, and 0.29 km into the SI unit for length (meters). ►Q7: Figure 1.2 shows a conversion from kg to English pounds. Convert the measurement to pounds, and give the updated uncertainty.Calculate the uncertainty using the equation below and find the answer.Your video analysis of the motion of a marble gives it position in frame 23 as (x23 , Y23) = (0.134 m, 0.120 m) and its position in frame 24 as (24 , Y24) = (0.102 m, 0.112 m). You estimate that you can measure the r and y positions with uncertainty ±0.003 m. The frame rate of the video is 30 frames/s, which means the time interval between frames is At = 0.033333 s. The uncertainty of the frame rate of a video camera is VERY small. For the sake of this problem, use 8(At) = 1 x 10 s. The mass of the marble is (2.031 0.001) x 10 2 kg.
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