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 We measure the acceleration a as a function of the mass m2, where the mass m, is changed while keeping the total mass m, total = m,+m,=0.8kg constant. Based on measurements results given in the table below, m2 (kg) 0.045 0.035 0.025 0.015 m a 0.649 0.467 0.395 0.213 the equation of the least square line is given as y= 13.8 x+0.017.

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Chapter1: Units, Trigonometry. And Vectors
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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 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
a
0.649 0.467 0.395 0.213
the equation of the least square line is given as y= 13.8 x+0.017
1. Based on the equation of the least square line, calculate the experimental value for the gravitational acceleration gexo
%3D
s2
2. Determine the percentage error (relative error) of the gravitational acceleration if the theoretical value is
= 9.81
m
(Give the answer in 4 decimal places!)
%error =
%
9 theoretical
Finish attempt
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 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 a 0.649 0.467 0.395 0.213 the equation of the least square line is given as y= 13.8 x+0.017 1. Based on the equation of the least square line, calculate the experimental value for the gravitational acceleration gexo %3D s2 2. Determine the percentage error (relative error) of the gravitational acceleration if the theoretical value is = 9.81 m (Give the answer in 4 decimal places!) %error = % 9 theoretical Finish attempt
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