9702_w16_qp_41.pdf | PapaCambridge - Past Papers

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Cambridge International Examinations Cambridge International Advanced Subsidiary and Advanced Level

PHYSICS Paper 4 A Level Structured Questions

Candidates answer on the Question Paper. No Additional Materials are required.

9702/41 October/November 2016

2 hours

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. You may use an HB pencil for any diagrams or graphs. Do not use staples, paper clips, glue or correction fluid. DO NOT WRITE IN ANY BARCODES.

Answer all questions.

Electronic calculators may be used. 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.

This document consists of 22 printed pages and 2 blank pages.

DC (NF/CGW) 116306/4 ? UCLES 2016

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Data speed of light in free space permeability of free space permittivity of free space

elementary charge the Planck constant unified atomic mass unit rest mass of electron rest mass of proton molar gas constant the Avogadro constant the Boltzmann constant gravitational constant acceleration of free fall

2

c = 3.00 ? 108 m s-1

0 = 4 ? 10-7 H m-1

0 = 8.85 ? 10-12 F m-1

(

1

40

= 8.99 ? 109 m F-1)

e = 1.60 ? 10-19 C

h = 6.63 ? 10-34 J s

1 u = 1.66 ? 10-27 kg

me = 9.11 ? 10-31 kg mp = 1.67 ? 10-27 kg

R = 8.31 J K-1 mol-1

NA = 6.02 ? 1023 mol-1 k = 1.38 ? 10-23 J K-1

G = 6.67 ? 10-11 N m2 kg-2

g = 9.81 m s-2

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9702/41/O/N/16

Formulae uniformly accelerated motion

work done on/by a gas gravitational potential hydrostatic pressure pressure of an ideal gas simple harmonic motion velocity of particle in s.h.m.

Doppler effect

electric potential capacitors in series capacitors in parallel energy of charged capacitor electric current resistors in series resistors in parallel Hall voltage alternating current/voltage radioactive decay decay constant

3

s

=

ut

+

1 2

at

2

v 2 = u 2 + 2as

W = pV

=

-

Gm r

p = gh

p

=

1 3

Nm V

c 2

a = - 2x

v = v0 cos t

v = ? (x02?x2)

fo

=

fsv v ? vs

V

=

Q

40r

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

C = C1 + C2 + . . .

W

=

1 2

QV

I = Anvq

R = R1 + R2 + . . .

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

VH

=

BI ntq

x = x0 sin t

x = x0 exp(-t )

=

0.693 t1

2

? UCLES 2016

9702/41/O/N/16

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4 Answer all the questions in the spaces provided.

1 A satellite is in a circular orbit of radius r about the Earth of mass M, as illustrated in Fig. 1.1.

Earth mass M

satellite r

Fig. 1.1

The mass of the Earth may be assumed to be concentrated at its centre.

(a) Show that the period T of the orbit of the satellite is given by the expression

T2

=

42r 3 GM

where G is the gravitational constant. Explain your working.

[3] (b) (i) A satellite in geostationary orbit appears to remain above the same point on the Earth

and has a period of 24 hours. State two other features of a geostationary orbit. 1. ...................................................................................................................................... ........................................................................................................................................... 2. ...................................................................................................................................... ...........................................................................................................................................

[2]

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5 (ii) The mass M of the Earth is 6.0 ? 1024 kg.

Use the expression in (a) to determine the radius of a geostationary orbit.

radius = .................................................... m [2] (c) A global positioning system (GPS) satellite orbits the Earth at a height of 2.0 ? 104 km above

the Earth's surface. The radius of the Earth is 6.4 ? 103 km. Use your answer in (b)(ii) and the expression

T2 r3 to calculate, in hours, the period of the orbit of this satellite.

? UCLES 2016

period = .............................................. hours [2] [Total: 9]

9702/41/O/N/16

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