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 motal = 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 5 |0.801 0.633 0.575 0.457 the equation of the least square line is given as y = 10.9:x+0.2895 m 1. Based on the equation of the least square line, calculate the experimental value for the gravitational acceleration gexp %3D 2. Determine the percentage error (relative error) of the gravitational acceleration if the theoretical value is gtheoretical = 9.81 (Give the answer in 4 decimal places!) %error =

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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 motal = 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
0.801 0.633 0.575 0.457
the equation of the least square line is given as y = 10.9 x+0.2895.
m
1. Based on the equation of the least square line, calculate the experimental value for the gravitational acceleration gern
2. Determine the percentage error (relative error) of the gravitational acceleration if the theoretical value is gheoretical = 9.81
m
(Give the answer in 4 decimal
places!)
%error =
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 motal = 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 0.801 0.633 0.575 0.457 the equation of the least square line is given as y = 10.9 x+0.2895. m 1. Based on the equation of the least square line, calculate the experimental value for the gravitational acceleration gern 2. Determine the percentage error (relative error) of the gravitational acceleration if the theoretical value is gheoretical = 9.81 m (Give the answer in 4 decimal places!) %error =
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