Newtons Second Law Lab

# Newtons Second Law Lab - PHY 113 Newton’s Second Law of...

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Unformatted text preview: PHY 113: Newton’s Second Law of Motion Student’s name: Lab partners: Date of experiment: Section SLN: TA’S name: I. Objective: To prove and understand Newton’s second Law of motion using the aluminum track and cart with pulley system to better understand the measurements of acceleration, gravity, and velocity. II. Procedure: One lab member measure the cart and metal S hook then record given data. While that was being done the other lab members set up the computer program, Graphical Analysis, inputting column headers into the following columns: “m” (kg), “slope 1” (m/s2), “slope 2” (m/s2), “aave” (m/s2), “g” (m/s2). The lab group then finished inputting other necessary information into the program that was stated by the T.A. Once the program was set and the data was entered it would graph the velocity of the cart as a function of time. This was done by pushing the cart down the level aluminum track, each time recording the velocity. After each turn a weight of 5 g rams was added to the pulley string which was attached to the cart. This process was done six times, each time the cart was pushed the start tab on the computer program was clicked. And each time the lab member had to take the slope above and below the horizontal line; this was the data being put into the columns mentioned above. When the exercise was complete the Graphical Analysis collected the data and produced a linear line graph. The graph showed the " all the "#\$%&') **+& , 56' s!"#\$"%&'()*+'*!"',+--+.()/and median values of#\$%&'( velocities. The lab group then plugged tandard deviation, mean, '0+-12)&3' ! 7!"'-#8'/%+19'*!")',()(&!"\$'()91**()/'+*!"%')"0"&&#%:'(),+%2#*(+)'()*+'*!"'9%+/%#2'*!#*'.#&'&*#*"\$'8:' t*!"'76;6'<)0"'*!"'9%+/%#2'.#&'&"*'#)\$'*!"'\$#*#'.#&'")*"%"\$'(*'.+1-\$'/%#9!'*!"'="-+0(*:'+,'*!"'0#%*'#&'#' he mean and standard deviation into the results table and the percent discrepancy formula, (see 4 4 4 4 !"#\$"%&'()*+'*!"',+--+.()/'0+-12)&3' ! "#\$%&'( "#\$%&') **+& , 56' ,1)0*(+)'+,'*(2"6'7!(&'.#&'\$+)"'8:'91&!()/'*!"'0#%*'\$+.)'*!"'-"="-'#-12()12'*%#0>?'"#0!'*(2"' %"0+%\$()/'*!"'="-+0(*:6';,*"%'"#0!'*1%)'#'."(/!*'+,'@'/%#2&'.#&'#\$\$"\$'*+'*!"'91--":'&*%()/'.!(0!'.#&' t7!"'-#8'/%+19'*!")',()(&!"\$'()91**()/'+*!"%')"0"&&#%:'(),+%2#*(+)'()*+'*!"'9%+/%#2'*!#*'.#&'&*#*"\$'8:' able/results below). #**#0!"\$'*+'*!"'0#%*6'7!(&'9%+0"&&'.#&'\$+)"'&(A'*(2"&?'"#0!'*(2"'*!"'0#%*'.#&'91&!"\$'*!"'&*#%*'*#8'+)'*!"' *!"'76;6'<)0"'*!"'9%+/%#2'.#&'&"*'#)\$'*!"'\$#*#'.#&'")*"%"\$'(*'.+1-\$'/%#9!'*!"'="-+0(*:'+,'*!"'0#%*'#&'#' ,1)0*(+)'+,'*(2"6'7!(&'.#&'\$+)"'8:'91&!()/'*!"'0#%*'\$+.)'*!"'-"="-'#-12()12'*%#0>?'"#0!'*(2"' +="'#)\$'8"-+.' 0+291*"%'9%+/%#2'.#&'0-(0>"\$6';)\$'"#0!'*(2"'*!"'-#8'2"28"%'!#\$'*+'*#>"'*!"'&-+9"'#8 %"0+%\$()/'*!"'="-+0(*:6';,*"%'"#0!'*1%)'#'."(/!*'+,'@'/%#2&'.#&'#\$\$"\$'*+'*!"'91--":'&*%()/'.!(0!'.#&' I*!"'!+%(B+)*#-'-()"C'*!(&'.#&'*!"'\$#*#'8"()/'91*'()*+'*!"'0+-12)&'2")*(+)"\$'#8+="6'D!")'*!"'"A"%0(&"' II. Results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ean gravity m/s2 Standard Deviation m/s2 Percent Discrepancy .#&'0+29-"*"'*!"'E%#9!(0#-';)#-:&(&'0+--"0*"\$'*!"'\$#*#'#)\$'9%+\$10"\$'#'-()"#%'-()"'/%#9!6'7!"'/%#9!' F&""'*#8-"G%"&1-*&'8"-+.56' &!+."\$'*!"'&*#)\$#%\$'\$"=(#*(+)?'2"#)?'#)\$'2"\$(#)'=#-1"&'+,'#--'*!"'="-+0(*("&6'7!"'-#8'/%+19'*!")' ' 10.7 0.479 9.07% 9-1//"\$'*!"'2"#)'#)\$'&*#)\$#%\$'\$"=(#*(+)'()*+'*!"'%"&1-*&'*#8-"'#)\$'*!"'9"%0")*'\$(&0%"9#)0:',+%21-#?' ' F&""'*#8-"G%"&1-*&'8"-+.56' 'HHH6'I"&1-*&3' '' ' HHH6'I"&1-*&3' ' Data Analysis: IV. ' '' 'HJ6'K#*#';)#-:&(&3' ' ' HJ6'K#*#';)#-:&(&3' 4 4 4 4 ' ' /%#9!6' /%#9!6' ' ' 6''D!"%"' L'2"#)'=#-1"'+,'/%#9!6'' " ## # ## ##" !'M*#)\$#%\$'\$"=(#*(+)'+,' 6''D!"%"' L'2"#)'=#-1"'+,'/%#9!6'' ##" !'M*#)\$#%\$'\$"=(#*(+)'+,' \$%&' '( %' ' \$) '((* ! +%\$,*# %&' N"%0")*'K(&0%"9#)0:'+,'/'L' 'O'PQQR'LS'' # \$%&' ' '' ' ' ' '' '' '' V. Discussion and Conclusion: '' J6'K(&01&&(+)'#)\$'T+)0J6'K(&01&&(+)'#)\$'T+)0Overall the experiment was a success. The mean value of the experiment was, 10.7 m/ s² and the expected value 9.81 m/s² with a difference of just 0.479 m/s². The difference was due to human error by not auto scaling the plot correctly in the first few tries. Newton’s second law still hold true because the standard deviations is so small, with a percent discrepancy of just 9.07%. Systematic error could have been the cause for the difference in the experimental and actual gravity. A way of fixing this could have been to calibrate the sensor that recorded the times of the cart on the track, if this sensor was not calibrated properly than it could have thrown off the data. N"%0")*'K(&0%"9#)0:'+,'/'L' " 'O'PQQR'\$%&' '''( %' LS ) '((* ! +%\$,*# ...
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