A cart carrying a mass M has a combined mass of m, is connected with a lightweight cord over a massless pulley to the mass m,. We measure the acceleration a as a function of the mass m,, where the mass m, is changed while keeping the total mass mtota = m, +m, =0.8kg constant. Based on measurements results given in the table below, m, (kg)0.045 0.035 0.025 0.015 m la 0.955 0.765 0.655 0.585 the equation of the least square line is given as y= 12.2 x+0.374. m 1. Based on the equation of the least square line, calculate the experimental value for the gravitational acceleration ge 2. Determine the percentage error (relative error) of the gravitational acceleration if the theoretical value is gheovetica 9.81 m (Give the answer in 4 decimal places!) %error = %
A cart carrying a mass M has a combined mass of m, is connected with a lightweight cord over a massless pulley to the mass m,. We measure the acceleration a as a function of the mass m,, where the mass m, is changed while keeping the total mass mtota = m, +m, =0.8kg constant. Based on measurements results given in the table below, m, (kg)0.045 0.035 0.025 0.015 m la 0.955 0.765 0.655 0.585 the equation of the least square line is given as y= 12.2 x+0.374. m 1. Based on the equation of the least square line, calculate the experimental value for the gravitational acceleration ge 2. Determine the percentage error (relative error) of the gravitational acceleration if the theoretical value is gheovetica 9.81 m (Give the answer in 4 decimal places!) %error = %
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Transcribed Image Text:Given is the following experimental setup to investigate Newton's second law.
A cart carrying a mass M has a combined mass of m, is connected with a lightweight cord over a massless pulley to the mass m,. We measure the acceleration a as a
function of the mass m2, where the mass m, is changed while keeping the total mass mtota = m, +m2 =0.8kg constant.
Based on measurements results given in the table below,
m, (kg)0.045 0.035 0.025 0.015
la
0.955 0.765 0.655 0.585
the equation of the least square line is given as y= 12.2:x+0.374.
m
1. Based on the equation of the least square line, calculate the experimental value for the gravitational acceleration gem =
s2
2. Determine the percentage error (relative error) of the gravitational acceleration if the theoretical value is gheoretica = 9.81
(Give the answer in 4 decimal
places!)
%error =
%
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