### PHYSICS HOMEWORK #32

But essentially that may well have been a complication rather than a simplification – fewer steps maybe but more analysis. Verifying Newton’s 2nd Law Ask Question. Sorry rcgldr, I didn’t notice your link before. Well, the variation I used was to consider patterns of bin filling. Physics Stack Exchange works best with JavaScript enabled. Permutation – 7 identical items, 32 distinct containers. Sign up using Email and Password.

Thread starter rcgldr Start date Mar 20, By using our site, you acknowledge that you have read and understand our Cookie Policy , Privacy Policy , and our Terms of Service. Is the logic in my first post treating the items or containers as distinct: Hopefully that is enough for you to see that what you discovered is Newton’s 2nd law. For a better experience, please enable JavaScript in your browser before proceeding. Looking at the case of 7 items into 4 bins with no bins empty there are 20 cases that fall into 3 patterns: Post 5 of https:

Right, it’s the acceleration which is constant. By using our site, you acknowledge that you have read and understand our Cookie PolicyPrivacy Policyand our Terms of Service. Then, the numbers in the list can be expressed by S 7,k 32 k k!

The main issue was that the probability of these patterns is based on permutations instead of combinations. Hopefully that is enough for you to see that what you discovered is Newton’s 2nd law. So, I thought about this a little more, and I think some case-by-case work is probably inevitable.

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Sign up using Facebook. Verifying Newton’s 2nd Law Ask Question. Then I divided gravity by each calculated acceleration so I ended up with 6 new numbers.

The right-hand side is the total mass of the two-mass system multiplied by the its common acceleration. That might be appropriate for your application; I really don’t know enough to judge.

I already have the answer for this, but wondering if there’s some efficient way to calculate this. How do we grade questions?

So it produces a very straight line, the data line up very well and produce a great line of best fit.

# Solutions to Holt Physics (), Pg. 32 :: Free Homework Help and Answers :: Slader

Corrections final terms were ok, the intemediate terms for 2of2 and 3of3 were multiplied but left inside parenthesiscorrected equations: Then the balls are dropped 7 at a time into each of 32 containers.

I dont understand exactly your question about the possible permutations of what? A thread connected the hanging mass with the one on the track. Physics Homewprk Exchange works best with JavaScript enabled. I Permutation of identical elements.

The rest of your question is interesting but I don’t have time right now – I may get back to it. Remember we’re modelling this with bin dividers, and for 4 bins there are 3 dividers.

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. Well, the variation I used was to consider patterns of bin filling. Since it’s a straight line, this implies proportionality. Is the probability of the distribution of black balls the same as you described?

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Related General Math News on Phys. To convince yourself, physixs not a massive task to list out the possible distributions.

Then I found a line of best fit: I’m not sure I understand how the mass is the constant, as the hanging weight changes each test, only the weight on the track is constant. I can easily apply this to other numbers of bins, but changing the number of events is a homewprk slower.

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The acceleration is essentially the acceleration due to gravity. Email Required, but never shown. Overall for the four-bin case, there is 1 choice of four bins, 4 choices of three bins, 6 choices of 2 and 4 of 1, so the chances I’d associate with each possibility of filling 4,3,2,1 bins are in ratio There are 7 identical items, each with a equally random chance of being placed in 1 of 32 containers.

Odds versus number of draws to get 6 of 72 items.