IB Physics-B.5-Electricity and topic4 waves-Qc#6 Paper2-Circuit analysis

This question is in two parts. Part 1 is about simple harmonic motion (SHM). Part 2 is about current electricity.
Part 1 Simple harmonic motion (SHM)
An object is placed on a frictionless surface. The object is attached by a spring fixed at one end and oscillates at the end of the spring with simple harmonic motion (SHM).
The tension F in the spring is given by F = k x where x is the extension of the
spring and k is a constant.
a. Show that .w2=k/m
b. One cycle of the variation of displacement with time is shown for two
separate mass–spring systems, A and B.
(i) Calculate the frequency of the oscillation of A.
(ii) The springs used in A and B are identical. Show that the mass in A is equal to the mass in B.
c. The graph shows the variation of the potential energy of A with
displacement.
On the axes,
(i) draw a graph to show the variation of kinetic energy with displacement for the mass in A. Label this A.
(ii) sketch a graph to show the variation of kinetic energy with displacement for the mass in B. Label this B.
Part 2 Current electricity
A 24 Ω resistor is made from a conducting wire.
(i) The diameter of the wire is 0.30 mm and the wire has a resistivity of 1.7 10 Ωm. Calculate the length of the wire.
(ii) On the axes, draw a graph to show how the resistance of the wire in (d)(i)
varies with the diameter of the wire when the length is constant. The data point for the diameter of 0.30 mm has already been plotted for you.
Topic 5 electricity playlist:
topic 4 oscillation and waves playlist: