IB Physics SL C.1.5 Energy in SHM

Track how kinetic and elastic potential energy vary in SHM, then calculate total energy, amplitude or speed at a stated position.

Exam points

state the energy transfer between kinetic and elastic potential energy over a named time interval
use E = 1/2 m omega^2 A^2 to calculate total energy or determine amplitude from given data
use displacement or time on a graph to calculate speed, then find kinetic energy at that point

[Maximum number: 2]

This question is in two parts. Part 1 is about a thermistor circuit. Part 2 is about vibrations and waves.
Part 1 Thermistor circuit
The circuit shows a negative temperature coefficient (NTC) thermistor X and a $100 \mathrm{k} \Omega$ fixed resistor R connected across a battery.

Figure for Question C.1.5—Energy in SHM question 1 — IB Physics SL

The battery has an electromotive force (emf) of 12.0 V and negligible internal resistance.

D has mass $6.5 \times 10^{-3} \mathrm{~kg}$ and vibrates with amplitude 0.85 mm .

Determine the total energy of D .

correct substitution into $E_{T}=\frac{1}{2} m \omega^{2} x_{0}{ }^{2}$ irrespective of powers of 10 ;

0.14 \text { to } 0.15 \mathrm{~J} ;

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C.1.5—Energy in SHM question 1