Physics 5054 · O Level · Motion

Motion — practice question

A learner constructs a pendulum from paperclips. He links 14 matching paperclips end to end. He hangs them vertically from a pin fixed firmly to a bench, as shown in Fig. 2.1 (not to scale). He pulls the lowest paperclip to one side and lets it go. The paperclip pendulum then oscillates from side to side. With a stopwatch, he records the time $t$ for 10 full swings of the pendulum.
(a(i))[2]

Calculate $t_{av}$, the mean of $t$. Give your answer to 1 decimal place.

(a(ii))[1]

The duration of one full swing is known as the period $T$. Calculate $T$.

(a(iii))[2]

The student has a reaction time of about $0.2\,\text{s}$. Explain why the student measures the time for ten swings instead of the time for one swing.

(b(i))[1]

Complete the table with your answer to (a)(ii).

(b(ii))[4]

On Fig. 2.3, on page 5, draw the graph of $T / \text{s}$ against $N$ with $T$ on the y-axis and $N$ on the x-axis. Begin your axes at $(0,0)$. Sketch a smooth best-fit curve.

(b(iii))[1]

Describe the relationship between $T$ and $N$.

(b(iv))[1]

Use your graph to estimate the value of $T$ when 5 paperclips are used. Indicate on your graph how you found your answer.

(c)[1]

Suggest one effect of using paperclips that are not identical.

Worked solution & mark scheme

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