Answer all the questions in the spaces provided. (a) State two SI base units other than the kilogram, metre and second. 1. \_\_\_\_\_\_ 2. \_\_\_\_\_\_ (b) A metal wire has original length $l_0$. It is then suspended and hangs vertically as shown in Fig. 1.1. The weight of the wire causes it to stretch. The elastic potential energy stored in the wire is $E$. (i) Show that the SI base units of $E$ are $\text{kg m}^2\ \text{s}^{-2}$. (ii) The elastic potential energy $E$ is…

Physics 9702/22 — October/November 2013

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

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Topics Waves · Physical Quantities and Units · Work, Energy and Power · Forces, Density and Pressure · Electricity · D.C. Circuits · +2 more

Q1Physical Quantities and UnitsFree sample

Answer all the questions in the spaces provided.

(a)

State two SI base units other than the kilogram, metre and second.

(b)

A metal wire has original length $l_0$ . It is then suspended and hangs vertically as shown in Fig. 1.1.

Fig. 1.1

The weight of the wire causes it to stretch. The elastic potential energy stored in the wire is $E$ .

(i)

Show that the SI base units of $E$ are $\text{kg m}^2\ \text{s}^{-2}$ .

(ii)

The elastic potential energy $E$ is given by

E = C\rho^2 g^2 A l_0^3

where $\rho$ is the density of the metal,
$g$ is the acceleration of free fall,
$A$ is the cross-sectional area of the wire
and $C$ is a constant.

Determine the SI base units of $C$ .

SI base units of $C$ = ______

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