### PHYSICS HOMEWORK #32

Sign up or log in Sign up using Google. Verifying Newton’s 2nd Law Ask Question. Reduce this to the situation where there are 7 items and 4 containers. A thread connected the hanging mass with the one on the track. Post as a guest Name.

Amazingly similar lines of thought. Well, the variation I used was to consider patterns of bin filling. This can be separated into 2 main steps. Post as a guest Name. Extending these general cases to particular 5, 6 and 7 bins: Sign up or log in Sign up using Google. Since it’s a straight line, this implies proportionality.

Permutation – 7 identical items, 32 distinct containers. Physics Stack Exchange works best with JavaScript enabled.

Odds versus number of draws to get 6 of 72 phyics. That might be appropriate for your application; I really don’t know enough to judge.

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Then I divided gravity by each calculated acceleration so I ended up with 6 new numbers. In one of my classes a mass 0.

And you use physic, in the middle paragraph, when you mention the 1st, 2nd, 3rd item etc. By using our site, you acknowledge that you have read and understand our Cookie PolicyPrivacy Policyand our Terms of Service. There are 7 identical items, each with a equally random chance of being placed in 1 of 32 containers.

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# Conceptual Physics: Homework #65

IS all that is needed to verify it? Amazingly similar lines of thought. Thanks for the response. Email Required, but never shown.

homeworj Since it’s a straight line, this implies proportionality. Probabilities, 7 items, 4 physivs. What are the possible permutations? Sorry rcgldr, I didn’t notice your link before. Well, the variation I used was to consider patterns of bin filling. Hopefully that is enough for you to see that what you discovered is Newton’s 2nd law. The acceleration is essentially the acceleration due to gravity. I already have the answer for this, but wondering if there’s some efficient way to calculate this.

Right, it’s the acceleration which is constant. So the problem with just subtracting off the upto3 from the upto4 is that it has double-counted a number of the upto2 solutions in the 4c3 multiplication. How does this verify Newton’s 2nd law?

Home Questions Tags Users Unanswered. So, I thought about this a little more, and I hoomework some case-by-case work is probably inevitable. For 5 trials the mass was increased.

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Is the logic in my first post treating the items or containers as distinct: The right-hand side is the total mass of the two-mass system multiplied by the its common acceleration.

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Obviously for 7 items into a particular bin, there is only one option. Corrections final terms were ok, the intemediate terms for 2of2 and 3of3 were multiplied but left inside parenthesiscorrected equations: So it produces a very straight line, the data line up very well and produce a great line of best fit.

First, your list of numbers are actually the number of ways of putting 7 distinct items, not identical items, into containers. Verifying Newton’s 2nd Law Ask Question.

In order to get the number of permutations with various numbers of bins used, first enumerate the possible bin choices for that chosen numbers of bins B – each of which takes one object initially – then calculate the ways of distributing the remaining 7-B objects into those bins.