#Lab 4 Error Calculations #by Cole Rabe

#Setup the data variables

massCart = (499.5/1000) #Convert the mass from grams to kilograms massCartUncertainty = (0.1/1000) #Convert the uncertainty from grams to kilograms

#Put the data from the slow run from logger pro into variables slowVelInitial = 0.8341 #Units: m/s slowVelFinal = -0.7877 #Units: m/s slowVelStDevInitial = 0.02306 #Units: m/s slowVelStDevFinal = 0.01518 #Units: m/s

#Put the data from the slower run from logger pro into variables slowerVelInitial = 0.5976 #Units: m/s slowerVelFinal = -0.5542 #Units: m/s slowerVelStDevInitial = 0.02277 #Units: m/s slowerVelStDevFinal = 0.01274 #Units: m/s

#Put the data from the slowest run from logger pro into variables slowestVelInitial = 0.2940 #Units: m/s slowestVelFinal = -0.2381 #Units: m/s slowestVelStDevInitial = 0.02615 #Units: m/s slowestVelStDevFinal = 0.01008 #Units: m/s

print ("Success") print ("Data Variables Set!") print ("massCart ",massCart,"kg") print ("massCartUncertainty ",massCartUncertainty,"kg")

#Calculations for the slow run

slowMomentumInitial = (massCartslowVelInitial) #Calculate initial slow momentum slowMomentumFinal = (massCartslowVelFinal) #Calculate final slow momentum slowUncertaintyInitial = (((massCartUncertainty/massCart)+(slowVelStDevInitial/slowVelInitial))(slowMomentumInitial)) #Calculate initial slow uncertainty slowUncertaintyFinal = (((massCartUncertainty/massCart)+(slowVelStDevFinal/slowVelFinal))(slowMomentumFinal)) #Calculate final slow uncertainty slowMomentum = (slowMomentumFinal - slowMomentumInitial) #Calculate the total slow momentum slowUncertainty = (slowUncertaintyInitial + slowUncertaintyFinal) #Calculate the total slow uncertainty

#Print Output print ("Success") print ("Momentum for the slow collision: ",slowMomentum,"kgm/s") #Print Slow Momentum print ("Uncertainty for the slow collision: ± ",slowUncertainty,"kgm/s") #Print Slow Uncertainty Success Momentum for the slow collision: -0.8100891 kgm/s Uncertainty for the slow collision: ± 0.01910552 kgm/s #Calculations for the slower run#Calculations for the slow run

slowerMomentumInitial = (massCartslowerVelInitial) #Calculate initial slower momentum slowerMomentumFinal = (massCartslowerVelFinal) #Calculate final slower momentum slowerUncertaintyInitial = (((massCartUncertainty/massCart)+(slowerVelStDevInitial/slowerVelInitial))(slowerMomentumInitial)) #Calculate initial slower uncertainty slowerUncertaintyFinal = (((massCartUncertainty/massCart)+(slowerVelStDevFinal/slowerVelFinal))(slowerMomentumFinal)) #Calculate final slower uncertainty slowerMomentum = (slowerMomentumFinal - slowerMomentumInitial) #Calculate the total slower momentum slowerUncertainty = (slowerUncertaintyInitial + slowerUncertaintyFinal) #Calculate the total slower uncertainty

#Print Output print ("Success") print ("Momentum for the slower collision: ",slowerMomentum,"kgm/s") #Print Slower Momentum print ("Uncertainty for the slower collision: ± ",slowerUncertainty,"kgm/s") #Print Slower Uncertainty

#Calculations for the slowest #Calculations for the slow run

slowestMomentumInitial = (massCartslowestVelInitial) #Calculate initial slowest momentum slowestMomentumFinal = (massCartslowestVelFinal) #Calculate final slowest momentum slowestUncertaintyInitial = (((massCartUncertainty/massCart)+(slowestVelStDevInitial/slowestVelInitial))(slowestMomentumInitial)) #Calculate initial slowest uncertainty slowestUncertaintyFinal = (((massCartUncertainty/massCart)+(slowestVelStDevFinal/slowestVelFinal))(slowestMomentumFinal)) #Calculate final slowest uncertainty slowestMomentum = (slowestMomentumFinal - slowestMomentumInitial) #Calculate the total slowest momentum slowestUncertainty = (slowestUncertaintyInitial + slowestUncertaintyFinal) #Calculate the total slowest uncertainty

#Print Output print ("Success") print ("Momentum for the slowest collision: ",slowestMomentum,"kgm/s") #Print Slowest Momentum print ("Uncertainty for the slowest collision: ± ",slowestUncertainty,"kgm/s") #Print Slowest Uncertaintyrun