Results lab 7

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School

Lone Star College, CyFair *

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Course

1401

Subject

Physics

Date

Apr 3, 2024

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pdf

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3

Uploaded by alixgutierrez

PHYSICS 1401 Lab 7 - Hooke's Law Objectives: Validate Hooke’s Law Use Hooke’s Law to determine unknown masses and an unknown value. Analyze how different combinations of spring affect the stretching of a system. Background: Hooke's law states that extension of a spring is proportional to applied force. If a spring obeys Hooke's law, then a graph of applied force against extension will be a straight line, whose gradient (slope) is k: The equation of the straight line is: where: = stretching force applied to the spring = spring constant = extension of the spring Part 1: Validating Hooke’s Law Open the following simulator and click the lab option: https://phet.color ado.edu/sims/html/masses-and-springs/latest/masses-and-springs_en.html a) Place the 100g mass onto the spring. The spring will begin to oscillate up and down. Stop this by clicking on the mass several times or increasing the ‘Damping’ value to ‘Lots’. b) Click the ‘Displacement’ and ‘Movable Line’ options on the right. Adjust the movable red line to the tip of the green arrow. c) Use the ruler tool (the units are in mm) on the bottom right to measure the extension of the spring with the 100g mass. Convert this mass to a weight (use ) and add this data to table 1. Remember to convert g to kg . Table 1 Mass added (g) Weight (N) Extension (mm) 50 g 0.49 N 900 mm 100 g 0.98 N 170 mm 150 g 1.47 N 250 mm 200 g 1.96 N 340 mm 250 g 2.45 N 410 mm 300 g 2.94 N 500 mm
d) Using the slider at the top, change the mass and record 5 more results of weight and extension. Add your results to table 1. e) Plot a graph (either on paper or using Excel) for Force (y-axis) against extension (x-axis). Draw a line of best fit through your points. f) Using your graph, determine the spring constant of your spring (in ) by finding the gradient. K = F / x = 2.94 / 500 = 5.9 x 10Nmm-3-1 g) What evidence from your graph shows that the spring obeys Hooke’s Law? The line is moving at a constant slope or a straight line, which obeys Hooke's Law. Part 2: Determining Unknown Masses Using your value for the spring constant in part 1, determine the masses of the two unknown, red and blue masses in the simulation. Show your working and measurements taken for this part. To get a good average result, at least 3 measurements should be taken of each mass. red mass = ........ 370 ..................... g blue mass = ......... 230 ....................... g Red Mass: X= 610 mm K 5.9x10^-3 Nmm^-1 F= kx= 5.9x 10^ -3 Nmm^-1 (610mm) = 3.6 N (3.6 N/ 9.8 N mm) = 3.6 N
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