need help with this question 4. Using the uncertainties in this experiment a student found that the lower and upper bounds ofg are 9.4 m/s² and 9.9 m/s, respectively. Report g as in Equation 8.2 Equating Newton's Second Law with his Law of Gravitation we getGm,m2Gm2or canceling m,: a =R-If we are standing on the surface of a large, spherical body like Earth, then R is the radius of thelarge body and we call a the acceleration of gravity, which we denote as:GMR2Equation 5Experimental ProcedureSince the mass and radius of Earth are relatively constant (they actually vary a little in locationand time), Equation 5 predicts that the acceleration of gravity on Earth's surface is constant (wecan also verify this experimentally by noting that the velocity versus time plot is linear, and/or thedistance versus time plot is parabolic). Ifan object is dropped from rest, then the initial velocityis zero and Equation 2 reduces to:1.at2Equation 6Noting that a g. we can write:2yEquation 7To measure the distance and time we will use a powerful, but extremely common piece oftechnology: the cellphone. We will analyze the video of a falling object using a computerprogram that can identify position and time and automatically perform numerous data analyses.Using the uncertainties in the measurements of distance and time we can calculate a lower andupper bound of the acceleration of gravity. By averaging the upper and lower bounds we obtaing, and dividing their difference by 2 we obtain Ag: we can write:gtAgEquation 8The relative uncertainty can be expressed as:AgRU = x 100Equation 9Once we determine the acceleration of gravity using Equation 8, we can compare it to thetheoretical value (Equation 5) by computing the percent error.9eneorygexplPercent Error =x 100Equation 109cheory

g1 = 9.4 m/s2, g2= 9.9 m/s2 g = average of g1 and g2 g = (g1+g2)/2 = (9.4+9.9)/2 g = 9.65 m/s2…

Answered: 4. Using the uncertainties in this…

4. Using the uncertainties in this experiment a student found that the lower and upper bounds of g are 9.4 m/s2 and 9.9 m/s2, respectively. Report g as in Equation 8.

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter34: Frontiers Of Physics

Section: Chapter Questions

Problem 20PE: (a) Use the Heisenberg uncertainty principle to calculate the uncertainty in energy for a...

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Using the uncertainties in this experiment a student found that the lower and upper bounds of g r 9.4 m/s^2 and 9.9 m/s^2 respectively. Report g as an equation g +/-∆g