Consider a physics laboratory experiment designed to determine an unknown mass. A

Chapter 3, Problem 47

(choose chapter or problem)

Physics Consider a physics laboratory experiment designed to determine an unknown mass. A flexible metal meter stick is clamped to a table with 50 centimeters overhanging the edge (see figure). Known masses M ranging from 200 grams to 2000 grams are attached to the end of the meter stick. For each mass, the meter stick is displaced vertically and then allowed to oscillate. The average time t (in seconds) of one oscillation for each mass is recorded in the table.

               

                                       

A model for the data is given by

\(t=\frac{38 M+16,965}{10(M+5000)}\).

(a) Use the table feature of a graphing utility to create a table showing the estimated time based on the model for each of the masses shown in the table. What can you conclude?

(b) Use the model to approximate the mass of an object when the average time for one oscillation is 1.056 seconds.

Text Transcription:

t = 38M+16,965 / 10(M+5000)