Given a Styrofoam or paper cup or some other light container and & long rubber b

Question

Given a Styrofoam or paper cup or some other light container and & long rubber band (which I will provide), find the mass of 3 different stones that you put into the cup. Ignore the mass of the cup & the rubber band and choose the stones accordingly. You may only use the rubber band to determine the mass of the stones. Submission: 1. Powerpoint write up containing A. A picture of your mass measuring device. B. Explain the physics behind the device both qualitatively and quantitatively. C. Is there a lower and upper limit to the mass of an object you can measure with your device? Explain. D. Would your device perform identically on Mars and on Earth? Discuss. E. Estimate the percent error for the mass of each of your 3 stones. 2. Post an unlisted video to youtube of: A. You presenting the above PowerPoint B. You demonstrating your device to measure each of the 3 stones to show your experimental procedure. 3. Include a link to your youtube video on the front page of your PowerPoint. 4. You must also submit your device.

Explanation / Answer

1. To measure the mass of stone, tie the paper cup to rubber band and hang the system vertically.

Measure the force constant for rubber band by adding the known mass in cup.

force constant k = mg / l, l- change in length of  rubber band. ....(1)

Now, add unknown weight (stone) in cup.

we know that for equilibrium,

weight of stone = elastic force on  rubber band.

m1 g = kx, x - extended length of rubber band. which can be measured from observation.

Device will perform identically on various planets, refer equation (1)

performing multiple experiments on three different stones we get 'n' readings, and from this data we get % error.

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