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  1. D

    Mathematics: Post your doubts here!

    Further Pure Mathematics by Brian and Mark Gaulter A Concise Course in Advanced Level Statistics by Crawshaw and Chambers Mechanics for A Level by Bostock and Chandler They don't cover all the topics, but you can find the majority of them in these books.
  2. D

    Mathematics: Post your doubts here!

    Both of those things are in the examiner report.
  3. D

    Mathematics: Post your doubts here!

    take lcm dh/dt = (100-h^2)/20h^2 (20h^2/(100-h^2)) dh = dt Use result from part 2. -20 + 2000/(10-h)(10+h) dh = dt use partial fractions -20 + 100/(10-h) + 100/(10+h) dh = dt then integrate
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    Books needed for A Level Further Maths 9231

    My teacher recommended these 3: Further pure mathematics by gaulter and gaulter A concise course in A level statistics Schaum's outline of linear algebra
  5. D

    Physics: Post your doubts here!

    You are subtracting 2 readings so the error is (1/60) * 100
  6. D

    Physics: Post your doubts here!

    afaik, a parabola can't be circle shaped.
  7. D

    Physics: Post your doubts here!

    Because gravitational field strength hasn't changed.
  8. D

    Physics: Post your doubts here!

    Volume = 2000 * 10 = 20000 Mass = 20000 * 1.3 = 26000 KE = 0.5 * 26000 * 10^2 = 1300J efficiency is 50% so answer is 650KW It is projectile motion, so the path is parabolic.
  9. D

    Physics: Post your doubts here!

    Final is half of the initial, so half of the kinetic energy is lost... Ek/2
  10. D

    Physics: Post your doubts here!

    Pythagoras... Resultant^2 = (sum of X components)^2 + (sum of Y components)^2 When you consider option B F2: X comp. = 1cosx Y comp. = 1sinx F1 only has an x component of 1
  11. D

    Physics: Post your doubts here!

    1 = sqrt[(1+cosx)^2 + (sinx)^2] x = 120
  12. D

    Physics: Post your doubts here!

    9: initial momentum = final momentum m(2v) + 3m(-v) = 4m(vf) vf = -v/4 10: Just move the arrows around in your head without changing their direction to make a triangle. D is the only way you can make the triangle with the arrows in their original direction. 12: Take the pivot at the point where...
  13. D

    Physics: Post your doubts here!

    mgh = 0.5mu^2 u = sqrt(2gh) mg(h/2) = 0.5mv^2 v = sqrt(gh) boiling, melting and evaporation all involve breaking bonds, which is endothermic.
  14. D

    Physics: Post your doubts here!

    Your arrow doesn't start at the pivot. Look at A and C, F is at an angle to the line from the pivot in C but it is closer to 90 degrees in A, so there will be a larger moment in A.
  15. D

    Physics: Post your doubts here!

    Initial KE: 0.5*m*v^2 = 0.5mv^2 Initial momentum = final momentum mv = 2m(final velocity) final velocity = v/2 Final KE: 0.5 * 2m * (v/2)* = 0.25mv^2
  16. D

    Physics: Post your doubts here!

    Force needs to be perpendicular to the pivot for maximum pivot. Draw a straight line from the center of the handle to the tip. F needs to be perpendicular to this line.
  17. D

    Physics: Post your doubts here!

    Weight acts at the 50 cm mark, so the distance from the pivot of the weight is 10 cm
  18. D

    Physics: Post your doubts here!

    KE = 0.5 * 50 * 3 * 3 = 225 mgh = 225 h = 0.46m cos(theta) = 3.54/4
  19. D

    Physics: Post your doubts here!

    Driving force = ma = 1800 * 2 = 3600N Tension in first cable from left = T0 Motion of powered vehicle: 3600 - T0 = 200(2) T0 = 3200 Motion of cart 1: T0 - T = 400(2) T = 2400N Moment due to weight = 0.1 * 10 * 9.81 = 9.81 clockwise Moment due to pulley = 0.02*9.81*60 = 11.77 anti cw...
  20. D

    Physics: Post your doubts here!

    It's not the same. In the previous question, volume was same but length and area were different. In this one, volume and length are both same.
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