Physics 9702/41 — May/June 2013

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

questions

100

marks

120

minutes

Topics Communication · Gravitational Fields · Motion in a Circle · Ideal Gases · Thermodynamics · Oscillations · +7 more

Q1Gravitational FieldsMotion in a CircleFree sample

Section A

Answer all the questions in the spaces provided.

(a)

State what is meant by a gravitational field.

(b)

In the Solar System, the planets may be assumed to be in circular orbits about the Sun. Data for the radii of the orbits of the Earth and Jupiter about the Sun are given in Fig. 1.1.

Fig. 1.1

(i)

State Newton’s law of gravitation.

(ii)

Use Newton’s law to determine the ratio

\frac{\text{gravitational field strength due to the Sun at orbit of Earth}}{\text{gravitational field strength due to the Sun at orbit of Jupiter}}

ratio = ______

(c)

The orbital period of the Earth about the Sun is $T$ .

(i)

Use ideas about circular motion to show that the mass $M$ of the Sun is given by

M = \frac{4\pi^2 R^3}{GT^2}

where $R$ is the radius of the Earth’s orbit about the Sun and $G$ is the gravitational constant.
Explain your working.

(ii)

The orbital period $T$ of the Earth about the Sun is $3.16 \times 10^7\ \text{s}$ .
The radius of the Earth’s orbit is given in Fig. 1.1.
Use the expression in (i) to determine the mass of the Sun.

mass = ______ $\text{kg}$

The rest of this paper

11 more questions

Q2Ideal Gases · Thermodynamics9M
Q3Oscillations10M
Q4Electric Fields7M
Q5Magnetic Fields10M
Q6Alternating Currents5M
Q7Quantum Physics9M
Q8Nuclear Physics7M
Q9Electronics8M
Q10Medical Physics9M
Q11Communication8M
Q12Communication5M

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