Physics 9702/21 — October/November 2015

Cambridge AS Level · AS Level Structured Questions · worked solutions for every part, with the mark scheme

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Topics Physical Quantities and Units · Dynamics · Waves · Work, Energy and Power · Kinematics · Forces, Density and Pressure · +5 more

Q1Physical Quantities and UnitsFree sample

(a)

State two SI base quantities other than mass, length and time.

(b)

A beam is clamped at one end and an object X is attached to the other end of the beam, as shown in Fig. 1.1.

Fig. 1.1

The object X is made to oscillate vertically.

The time period $T$ of the oscillations is given by

T = K \sqrt{\frac{Ml^3}{E}}

where $M$ is the mass of X,
$l$ is the length between the clamp and X,
$E$ is the Young modulus of the material of the beam
and $K$ is a constant.

(i)

Show that the SI base units of the Young modulus are $\text{kg m}^{-1} \text{ s}^{-2}$ .
Determine the SI base units of $K$ .

SI base units of $K$ = ______

(ii)

Data in SI units for the oscillations of X are shown in Fig. 1.2.

Fig. 1.2

Calculate $E$ and its actual uncertainty.

$E$ = ______ $\pm$ ______ $\text{kg m}^{-1} \text{ s}^{-2}$

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