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Edexcel M3 SHM

Ex3D Q7, Is the book wrong?

Q9 part B, max EPE = max KE, how do I find max EPE?
12/2.4(0.2^2+1.4^2) = 10 is wrong.

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Reply 1
@Zacken, wrong forum
Reply 2
@iEthan pls.

Original post by AlmostNotable
Ex3D Q7, Is the book wrong?

Q9 part B, max EPE = max KE, how do I find max EPE?
12/2.4(0.2^2+1.4^2) = 10 is wrong.


Please post a picture of the question?
Reply 3
Original post by AlmostNotable
Ex3D Q7, Is the book wrong?

Q9 part B, max EPE = max KE, how do I find max EPE?
12/2.4(0.2^2+1.4^2) = 10 is wrong.


I would use vmax=ωaKEmax=12mvmax2v_{\text{max}} = \omega a \Rightarrow \mathrm{KE_{max}} = \frac{1}{2}mv_{\text{max}}^{2} rather than energy considerations.
Original post by aymanzayedmannan
@Zacken, wrong forum


Ops
Original post by aymanzayedmannan
I would use vmax=ωaKEmax=12mvmax2v_{\text{max}} = \omega a \Rightarrow \mathrm{KE_{max}} = \frac{1}{2}mv_{\text{max}}^{2} rather than energy considerations.


Should work both ways right?
Original post by Zacken
@iEthan pls.



Please post a picture of the question?


http://www.physicsandmathstutor.com/a-level-maths-papers/m3-solutionbank/
CH3 -> EX3D
Reply 7


Just use vmax=ωx0v_{\text{max}} = \omega x_0 surely?
Reply 8
Original post by AlmostNotable
Should work both ways right?


Yes, using energy considerations worked for me - got an answer of 2.56 J both ways. I'm talking about Q7. I'll take a look at 9 as well. Are you using KE=λa22l\mathrm{KE} = \frac{\lambda a^{2}}{2l} and converting everything to m?

EDIT: 9(b) works the same way
Original post by Zacken
Just use vmax=ωx0v_{\text{max}} = \omega x_0 surely?


Q7A or Q9B?
Original post by aymanzayedmannan
Yes, using energy considerations worked for me - got an answer of 2.56 J both ways. I'm talking about Q7. I'll take a look at 9 as well. Are you using KE=λa22l\mathrm{KE} = \frac{\lambda a^{2}}{2l} and converting everything to m?

EDIT: 9(b) works the same way


9B-What did you have for max EPE?
Reply 11
Original post by AlmostNotable
Q7A or Q9B?


Both.
Original post by Zacken
Both.


Maybe I didn't explain it well.
I have used v=wa and I did get the right answer.
For Q9B, what values did you use for max EPE?
Reply 13
Original post by AlmostNotable
..


For Q7: max E.P.E: 400×0.0822×0.5=2.56\displaystyle \frac{400 \times 0.08^2}{2 \times 0.5} = 2.56
Reply 14
Original post by AlmostNotable
Q7A or Q9B?


Works for both

Original post by AlmostNotable
9B-What did you have for max EPE?


I used 2×12(0.6)22(1.2)=3.6 J2 \times \frac{12\left ( 0.6 \right )^{2}}{2\left ( 1.2 \right )} = 3.6 \ \mathrm{J}. Multiplied by 2 because there's stretching in both strings
Moved to Maths. :kungfu:
Reply 16
Original post by AlmostNotable
Maybe I didn't explain it well.
I have used v=wa and I did get the right answer.
For Q9B, what values did you use for max EPE?


For 9B: 2×12×0.622×1.2=3.6\displaystyle \frac{2 \times 12 \times 0.6^2}{2 \times 1.2} = 3.6
Original post by Zacken
For 9B: 2×12×0.622×1.2=3.6\displaystyle \frac{2 \times 12 \times 0.6^2}{2 \times 1.2} = 3.6


(12/2.4)(1.4^2-0.2^2) is what I used. No way of finding max EPE by subtracting EPE of the individual springs?
Reply 18
Original post by AlmostNotable
(12/2.4)(1.4^2-0.2^2) is what I used. No way of finding max EPE by subtracting EPE of the individual springs?


No, you'd need to add E.P.E of each string, it's not a vector quantity so them acting in opposite directions doesn't mean you subtract them. It's like subtracting two E_k's of a particle when you want to find the total E_k, it's not correct, you need to add.
Original post by Zacken
No, you'd need to add E.P.E of each string, it's not a vector quantity so them acting in opposite directions doesn't mean you subtract them. It's like subtracting two E_k's of a particle when you want to find the total E_k, it's not correct, you need to add.


1.4^2+0.2^2 gives me a worse answer. Have to use 0.6^2 then?
(edited 8 years ago)

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