Now, there is the slight complication that the pulley does exert a force on your system, but it’s safe to ignore this and just picture everything in one-dimension. There are 7 identical items, each with a equally random chance of being placed in 1 of 32 containers. Right, it’s the acceleration which is constant. Verifying Newton’s 2nd Law Ask Question. First calculate the number of ways 7 items can go into n bins, none empty, using this expansion series: Extending these general cases to particular 5, 6 and 7 bins: Note that 7 items into 4 containers is the same as rolling a 4 sided die 7 times and noting the outcome, so this method can be used for permutations or probability of rolling a die several times.

Physics Stack Exchange works best with JavaScript enabled. So it produces a very straight line, the data line up very well and produce a great line of best fit. Post as a guest Name. By using our site, you acknowledge that you have read and understand our Cookie Policy , Privacy Policy , and our Terms of Service. IS all that is needed to verify it?

# Math 21a Homework Assignments for Spring

And phhysics use this, in the middle paragraph, when you mention the 1st, 2nd, 3rd item etc. Reduce this to the situation where there are 7 items and 4 containers. By using our site, you acknowledge that you have read and understand our Cookie PolicyPrivacy Policyand our Terms of Service.

But essentially that may well have been a complication rather than a simplification – fewer steps maybe but more analysis. Note that 7 items into 4 containers is the same as ##32 a 4 sided die 7 times and noting the outcome, so this method can be used for permutations or probability of rolling a die several times. Remember we’re modelling this with bin dividers, and for 4 bins there are 3 dividers.

Unicorn Meta Zoo 3: Corrections final terms were ok, the intemediate terms for 2of2 and 3of3 were multiplied but left inside parenthesiscorrected equations: That might be appropriate for your application; I really don’t know physicz to judge. The number of ways to do this would be 32x1x1x1x31x30x I Permutation of identical elements.

What are the possible permutations? Right, it’s the acceleration which is constant. Sign up using Email and Password.

I can easily apply this to other numbers of bins, homewokr changing the number of events is a little slower. Looking at the case of 7 items into 4 bins with no bins empty there are 20 cases that fall into 3 patterns: Sorry rcgldr, I didn’t notice your link before.

What is the probabilty that containers, a, b, c end up with 1 item, and container d ends up with 4 items? A thread connected the hanging mass with the one on the track.

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The distribution of balls in the pnysics is random. Amazingly similar lines of thought. Extending these general cases to particular 5, 6 and 7 bins: Hlmework, 7 items, 4 containers.

First calculate the number of ways 7 items can go into n bins, none empty, using this expansion series: For example, with 4 bins used: IS all that is needed to verify it?

First, your list of numbers are actually the number of ways of putting 7 distinct items, not identical items, into containers.

I homeork have the hokework for this, but wondering if there’s some efficient way to calculate this. Odds versus number of draws to get 6 of 72 items. Is the logic in my first post treating the items or containers as distinct: So taking one of the cases, suppose we have bin allocations: So, I thought about this a little more, and I think some case-by-case work is probably inevitable.

The right-hand side is the total mass of the two-mass system multiplied by the its common acceleration. How do we grade questions?

# homework and exercises – Verifying Newton’s 2nd Law – Physics Stack Exchange

Your logic treats both containers and objects as distinct. These numbers are way too high for a distribution of identical objects; basically you’re homweork the long way around on this problem.

Thread starter rcgldr Start date Mar 20,