Physics 9702/23 — October/November 2021

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

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Topics Work, Energy and Power · Physical Quantities and Units · Kinematics · Dynamics · Waves · Forces, Density and Pressure · +6 more

Q1Forces, Density and PressureDeformation of SolidsFree sample

(a)

A solid cylinder of weight $24\text{ N}$ is made of material of density $850\text{ kg m}^{-3}$ . The cylinder has a length of $0.18\text{ m}$ , as shown in Fig. 1.1.

Fig. 1.1

Show that the cross-sectional area $A$ of the cylinder is $0.016\text{ m}^2$ .

(b)

The cylinder in (a) is attached by a spring to the bottom of a rigid container of liquid, as shown in Fig. 1.2.

Fig. 1.2

The cylinder is in equilibrium with its bottom face at a depth of $0.17\text{ m}$ below the surface of the liquid. The tension in the spring is $8.0\text{ N}$ .

(i)

Show that the upthrust acting on the cylinder due to the liquid is $32\text{ N}$ .

(ii)

Calculate the density of the liquid.

density = ______ $\text{kg m}^{-3}$

(c)

Fig. 1.3 shows the variation of the tension $F$ with the length of the spring in (b).

Fig. 1.3

(i)

The tap at the bottom of the container is opened so that a fixed amount of liquid flows out of the container. The cylinder moves downwards so that the tension in the spring changes from $8.0\text{ N}$ to $4.0\text{ N}$ .

Determine the change in the elastic potential energy of the spring.

change in elastic potential energy = ______ $\text{J}$

(ii)

More liquid is let out of the container until the upthrust on the cylinder becomes $24\text{ N}$ .

For the upthrust of $24\text{ N}$ , determine the length of the spring.

length = ______ $\text{cm}$

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5 more questions

Q2Work, Energy and Power · Physical Quantities and Units5M
Q3Kinematics · Physical Quantities and Units · Work, Energy and Power · Dynamics · Waves11M
Q4Electric Fields · Dynamics · Kinematics · Work, Energy and Power · Particle Physics15M
Q5Waves · Superposition8M
Q6Electricity · D.C. Circuits10M

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