Needing help with Physics Lab 3 Homework: Force and Motion You are given 10 iden

Question

Needing help with Physics Lab 3 Homework: Force and Motion You are given 10 identical springs. Describe how you would develop a scale of force (i.e., a means of producing repeatable forces of a variety of sizes) using these springs. Describe how you would use an uncalibrated force probe and the springs in Question 1 to develop a quantitative scale of force. How could you measure forces that do not correspond to exact numbers of stretched springs? What is meant by a proportional relationship? Is this the same as a linear relationship? Explain. Given the table of data below for widgets and doodads, how would you determine if the relationship between widgets and doodads is a proportional one? Sketch on the axes to the right of the table what the graph would look like if widgets are proportional to doodads.

Explanation / Answer

(1) We have to attach springs in series with one another to develop the scale of the force using these spings.

(2) We can develop the calibrated force probe using given uncalibrated force probe and springs by taking two known mass pan or object. Suppose we want to develop the force scale which can measure weight force of mass from 5 to 10 kg. Attach one end of the spring arragement at rigid support. Also, attach one mark pin at somewhere on the spring such that its pointer is remained perpendicualr to the spring.

Now, attach the object of 5 kg at another end of the spring. So, the spring is being streched acoording to Hooke's law and pointer moves on the scale and finally it gets euailibrium at some point. Mark that point as the first reference point.

Now, remove the 5 Kg object and attach the object of 10 kg carefully at another end of the spring. So, the spring is being streched acoording to Hooke's law and pointer moves on the scale and similarly as above it gets euailibrium at some point. Mark that point as the second reference point.

Now, we can measure the distance between first and second reference points. Devide it by difference of weight force of both objects. So, we can have the rate of change of force per unit length. And thus we can calibrate the force scale.

(3) In the proportional relationship, one quantity changes proportionally with another quantity. It is same as a linear relationship up to some extent. Beacause proportionality is the special characteric of the system. This relationship can be affected due to some external parameters.

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