Review from the set of equations p3q prqs 12pr212qs212qt2...

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00:01 Hello and welcome to chapter 1, problem number 44 in physics for scientists and engineers with modern physics.

00:08 So this problem gives us the set of equations i've written here labeled as 1, 2, and 3, as well as it asks us to find the ratio here of t to r.

00:21 That's our final question.

00:24 So this is going to be an equation of multiple unknowns, multiple equations of multiple unknowns.

00:31 But actually, before we really get into it, the equation three that they give us here has one half in every monomer here.

00:39 So i've just taken out the one -half.

00:41 You multiply every part here by two, and we'll have pr -squared plus qs -squared equals q -t -squared.

00:51 I don't really know why they had that one -half there, maybe just to confuse us.

00:54 But don't get confused by these one -a -halfs.

00:57 We don't even have to think about them.

00:59 So what we're going to do first is plug in equation one into equation two because it's just simply a p is equal to 3q and we have a p here.

01:10 So we're going to have equation two.

01:12 And i'm just going to scroll this way.

01:15 We're going to have equation two.

01:17 The 3q times r is equal to q times s, right? we have, oh, sorry, we have p times r is q times s.

01:26 So we substitute that p in...

Review. From the set of equations p=3q pr=qs (1)/(2)pr^(2)+(1)/(2)qs^(2)=(1)/(2)qt^(2) involving the unknowns p,q,r,s, and t, find the value of the ratio of t to r.