Checking my mass and acceleration homework answers

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ryanmcarthy
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Please could you look over my questions and what answers I've come up with please, and see if I have done them correct?

Thanks a lot

Questions:
Printed physics problem sheet, page of questions 1 and 2 with a diagram labelled FIG. 1: a 6 kg block on a horizontal surface pushed by an 80 N force over 5 m, from t = 0 to t = 0.92 s.

Diagram of a wheel of mass 3 kg, outside radius 300 mm and radius of gyration 212 mm, hung on a vertical cord with a 0.5 kg block below it, and an x-axis arrow pointing downward (FIG. 2).

Diagram of a mass on a spring hanging from a ceiling, labelled 200 N m^-1 for the spring constant, with three 0.3 kg masses stacked on a vertical line; the middle mass sits at the equilibrium position, with 10 mm marked above and below it.


My Answers:
Handwritten homework worksheet with a line graph of kinetic energy (Wk, 0 to 400) against time (0.1 to 0.9), with a curve rising steeply, plus a table of values for Wk at each time.

Handwritten worksheet page with a graph of kinetic energy against distance, a table of values for Wk and s, and a calculation of the coefficient of friction from acceleration.

Handwritten worked solutions to physics problems 2a to 2d: a = 2*s/t^2 = 0.44 m/s^2; alpha = a/r = 1.48 rad/s^2; a = (mg - F)/m, F = m*(g-a) = 4.68 N; moment of inertia I = mr^2 = 0.0225 m^4; alpha = (F - T)/I, T = F - I*alpha = 4.65 N.

Handwritten solution to a vibration problem: frequency f = 4.11 Hz, maximum velocity vmax = 0.25 m/s, maximum acceleration amax = 6.67 m/s², and mass m2 = 0.075 kg for doubled velocity, with part (b) asking for an acceleration against displacement graph.

Graph of acceleration in m/s² against displacement in m, showing a straight line with negative slope running from upper left to lower right, from about 6.5 at -0.01 m to about -6.5 at 0.01 m.




Thanks :)
 
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I've just realized that answer 1a) is incorrect :( so please ignore that one.Thanks :)