Physics 9702/22 — February/March 2022

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

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

Q1Physical Quantities and UnitsForces, Density and PressureDynamicsFree sample

A sphere of radius $2.1\text{ mm}$ falls with terminal (constant) velocity through a liquid, as shown in Fig. 1.1.

Fig. 1.1

Three forces act on the moving sphere. The weight of the sphere is $7.2 \times 10^{-4}\text{ N}$ and the upthrust acting on it is $4.8 \times 10^{-4}\text{ N}$ . The viscous force $F_V$ acting on the sphere is given by

F_V = krv

where $r$ is the radius of the sphere, $v$ is its velocity and $k$ is a constant. The value of $k$ in SI units is 17.

(a)

Determine the SI base units of $k$ .

SI base units = ______

(b)

Use the value of the upthrust acting on the sphere to calculate the density $\rho$ of the liquid.

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

(c)

(i)

On the sphere in Fig. 1.1, draw three arrows to show the directions of the weight $W$ , the upthrust $U$ and the viscous force $F_V$ . Label these arrows $W$ , $U$ and $F_V$ respectively.

(ii)

Determine the magnitude of the terminal (constant) velocity of the sphere.

velocity = ______ $\text{m s}^{-1}$

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6 more questions

Q2Dynamics · Kinematics · Physical Quantities and Units7M
Q3Forces, Density and Pressure · Dynamics7M
Q4Work, Energy and Power · Deformation of Solids10M
Q5Superposition · Waves10M
Q6Electricity · D.C. Circuits12M
Q7Particle Physics6M

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