# 9702 S06 Qp 2

Topics: Physical constant, Avogadro constant, Force Pages: 16 (1974 words) Published: May 4, 2015
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UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS
General Certificate of Education
Advanced Subsidiary Level and Advanced Level

9702/02

PHYSICS
Paper 2

May/June 2006
1 hour
Candidates answer on the Question Paper.
No Additional Materials are required.

READ THESE INSTRUCTIONS FIRST
Write your Centre number, candidate number and name on all the work you hand in. Write in dark blue or black pen in the spaces provided on the Question Paper. Do not use staples, paper clips, highlighters, glue or correction fluid. Answer all questions.

You may use a soft pencil for any diagrams, graphs or rough working. You may lose marks if you do not show your working or if you do not use appropriate units. At the end of the examination, fasten all your work securely together. The number of marks is given in brackets [ ] at the end of each question or part question.

For Examiner’s Use

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This document consists of 16 printed pages.
SPA (SJF3675/CG) S98404/3
© UCLES 2006

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Data
speed of light in free space,

c = 3.00 × 10 8 m s –1

permeability of free space,

␮0 = 4␲ × 10 –7 H m–1

permittivity of free space,

⑀0 = 8.85 × 10 –12 F m–1

elementary charge,

e = 1.60 × 10 –19 C

the Planck constant,

h = 6.63 × 10 –34 J s

unified atomic mass constant,

u = 1.66 × 10 –27 kg

rest mass of electron,

me = 9.11 × 10 –31 kg

rest mass of proton,

mp = 1.67 × 10 –27 kg

molar gas constant,
the Avogadro constant,

R = 8.31 J K –1 mol –1
NA = 6.02 × 10 23 mol –1

the Boltzmann constant,

k = 1.38 × 10 –23 J K –1

gravitational constant,

G = 6.67 × 10 –11 N m 2 kg –2

acceleration of free fall,

g = 9.81 m s –2

© UCLES 2006

9702/02/M/J/06

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Formulae
uniformly accelerated motion,

s = ut + at 2
v 2 = u 2 + 2as

work done on/by a gas,

W = p ⌬V

gravitational potential,

φ = – Gm

simple harmonic motion,

a =–

velocity of particle in s.h.m.,

v = v0 cos t
v = ± √(x 20 – x 2)

resistors in series,

R = R1 + R 2 + . . .

r

2x

1/R = 1/R1 + 1/R2 + . . .

resistors in parallel,
electric potential,

V =

Q
4␲⑀0r

1/C = 1/C1 + 1/C2 + . . .

capacitors in series,
capacitors in parallel,

C = C1 + C2 + . . .

energy of charged capacitor,

W = QV

alternating current/voltage,

x = x0 sin t

hydrostatic pressure,

p = qgh

pressure of an ideal gas,

p =

radioactive decay,

x = x0 exp(– t )

Nm 2

V

= 0.693
t

decay constant,

3H02

critical density of matter in the Universe,

q0 =

equation of continuity,

Av = constant

Bernoulli equation (simplified),
Stokes’ law,
Reynolds’ number,
drag force in turbulent flow,
© UCLES 2006

8␲G

p1 + qv12 = p2 + qv22
F = Ar ␩v
Re =

qv r

F = Br 2qv 2
9702/02/M/J/06

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Answer all the questions in the spaces provided.
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(a) Derive the SI base unit of force.

SI base unit of force = ………………………………… [1] (b) A spherical ball of radius r experiences a resistive force F due to the air as it moves through the air at speed v. The resistive force F is given by the expression F = crv,

where c is a constant.
Derive the SI base unit of the constant c.

SI base unit of c = ………………………………… [1]

© UCLES 2006

9702/02/M/J/06

For
Examiner’s
Use

For
Examiner’s
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(c) The ball is dropped from rest through a height of 4.5 m. (i)

Assuming air resistance to be negligible, calculate the final speed of the ball.

speed = …………………………… m s–1 [2]
(ii)

The ball has mass 15 g and radius 1.2 cm.
The numerical value of the constant c in the equation in (b) is equal to 3.2 × 10–4 when measured using the SI system of units.
Show quantitatively whether the assumption made in (i) is justified.

[3]

© UCLES 2006

9702/02/M/J/06

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