1) Find the uncertainty in kinetic energy. Kinetic energydepends on mass and velocity according to this function E(m,v) =1/2 m v2. Your measured mass and velocity have thefollowing uncertainties     2.58 kgand   0.36 m/s. What is is the uncertainty inenergy,  , if the measured mass, m = 4.75 kg and themeasured velocity, v = -3.76 m/s? Units are not needed in youranswer
2)Find the uncertainty in kinetic energy. Kinetic energy dependson mass and velocity according to this function E(m,v) = 1/2 mv2. Your measured mass and velocity have the followinguncertainties     0.47 kgand   2.48 m/s. What is is the uncertainty inenergy,  , if the measured mass, m = 3.95 kg and themeasured velocity, v = -22.69 m/s? Units are not needed in youranswer.
3) The propagation of uncertainty formula for the equation y =ax^2 is
where ,and  . and . Thevalues  and  are the uncertainties on a and xrespectively.
If a = -4.5 +/- 0.4 and x = -4.7+/-0.7 then what is theuncertainty on y
4) After a million measurements of thing x, we find a samplemean of 60.45 and standard deviation of 3.24. What chance, inpercent (0-100) does the next measurement have of being outside 3standard deviations from the mean? Do not include the percentsign.
5) Find the uncertainty in a calculated average speed from themeasurements of distance and time. Average speed depends ondistance and time according to this function v(t,x) = x/t. Yourmeasured distance and time have the following values anduncertainties x = 5.1 meters,   2.8 meters and t =9.1 seconds and  0.2 seconds. What is the uncertainty inthe average speed,  ? Units are not needed in youranswer.
