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8 marks
8 marksA student suspended a spring from a rigid support. She stretched the spring by hanging a mass from the free end of the spring as shown.
She set the mass into vertical oscillations by displacing it a small distance from its equilibrium position. The spring obeys Hooke’s law.
When the mass on the end of the spring was 0.200 kg, the extension of the spring was 7.50 cm when the mass was in equilibrium.
i)
Show that the stiffness k of the spring is about 26 Nm−1.
(2)
ii)
The student used a stopwatch to determine the frequency of oscillation f of the mass m.
She repeated this procedure for four more values of m and obtained the following graph.
She repeated this procedure for four more values of m and obtained the following graph.
The student used the graph to determine a value for k.
Deduce whether the graph gives a value of k consistent with the value in (i).
(6)
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