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Mathematics: Post your doubts here!

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Hi... can someone please help me with these questions? got my mechanics paper tomorrow. :/
q5 (ii) and q6(i)
http://papers.xtremepapers.com/CIE/Cambridge International A and AS Level/Mathematics (9709)/9709_s11_qp_42.pdf
Using s=ut+0.5at^2, Hp=12t+0.5(-10)t^2 => Hp=12t-5t^2
Hq=7t+0.5(-10)t^2 => Hq=7t-5t^2
Given that 3Hp=8Hq, therefore, 3*(12t-5t^2)=8*(7t-5t^2), I hope you can take it further from here. t=0 or t=0.8s
Now using v=u+gt,
V of P at t=0.8s: v=12+(-10)(0.8), V of Q at t=0.8s: v=7+9-10)(0.8)....Hopefully it hits your brain.
 
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Hi... can someone please help me with these questions? got my mechanics paper tomorrow. :/
q5 (ii) and q6(i)
http://papers.xtremepapers.com/CIE/Cambridge International A and AS Level/Mathematics (9709)/9709_s11_qp_42.pdf
Q6,i) See triangle ABR, use cosine rule,
Cos B = 80^2 + 50^2 - 50^2/ (2*80*50).....B=36.9 deg.
both the bas angles A and B are the same, therefore, resolving forces vertically at R: Tsin36.9+Tsin36.9=6 (as T in both the strings is the same)
2Tsin36.9=6....T=4.99~5.0 N

Cheers! Remember me in your prayers. Jazak Allah khair! :)
 
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http://papers.xtremepapers.com/CIE/Cambridge International A and AS Level/Mathematics (9709)/9709_w09_qp_41.pdf
Question no 6 part (iii) why do take speed for one as negitive and other as positive while both will travel downwards?
Because it says, 'at the instant when the string breaks', that means as P has a greater weight, it will fall towards the ground (downwards) and Q will travel upwards. therefore the velocities will have opposite directions. as P travelling down with for eg +V nd Q upwards with -V...or vice versa.
Jazak Allah khair. Remember me in ur prayers. And did u get it?!
 
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Because it says, 'at the instant when the string breaks', that means as P has a greater weight, it will fall towards the ground (downwards) and Q will travel upwards. therefore the velocities will have opposite directions. as P travelling down with for eg +V nd Q upwards with -V...or vice versa.
Jazak Allah khair. Remember me in ur prayers. And did u get it?!
I think its not possible that after the string break Q will travel up...the sign is maybe because Q was first travelling up and now down and as velocity is a vector so it changes sign !
Thanks anyways :D
 
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I think its not possible that after the string break Q will travel up...the sign is maybe because Q was first travelling up and now down and as velocity is a vector so it changes sign !
Thanks anyways :D
Firstly, the sign aint specified in the mark scheme and yeah What i said was right...ya know how...when initially the string breaks, p is heavier so q will travel a distance upward and as P hits the ground, then Q will fall downwards. As the question later says 'Q reaches the ground 0.8 secs later than P'...if both were to fall to the ground at the instant the string breaks they both would reach the ground at the same time as they are the same height above the ground...Think logically...
And Anytime! :D
 
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For particle P:

u=20, a=-10,
s=ut+0.5at^2
s=20t+(0.5 x -10 x t^2)
s=20t - 0.5t^2

For Particle Q:
u=25, a=-10, time=t-4
s=25(t-4) - 0.5(t-4)^2
After simplifying you get
s=29t + 10.8 - 5t^2

Now equate both the distances :
20t-0.5t^2 = 29t + 10.8 -5t^2
After solving this you'll get t=1.2

For Particle P:
v=u+at
v=20+(-10 x 1.2) = 8m/s

For Particle Q:
v=25-10(t-0.4)
v=25-10(1.2-0.4) = 17m/s

I hope you got it :)


thanks .... can u plz tell me about no.7 WHY we equated it with 0 for accelaration ?
http://papers.xtremepapers.com/CIE/...S Level/Mathematics (9709)/9709_w10_qp_42.pdf
 
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HELP NEEDED!!! P3!CIE A LEVEL! Wud be grateful!

The attatchment has both the markscheme n d question! Please help by answering in detail! I get the sum screwed up everytym! :(
Thank u!
 

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I would but I got mechanics tomorrow. If you can wait then I shall explain you by tomorrow In sha Allah! :)

hey ..... one thing : a general question :

if it says that two particles re on inclined plane with one moving up and the other moving down , finding an expression for distance between them if one is released 2 second later ? so in this case the t (for the one released 2 seconds later) = 0.2 + t ?

JazakAllah :)
 
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