2005 Question 6
(i) Define angular velocity.
(ii) Define centripetal force.
(iii)State Newton’s Universal Law of Gravitation.
(iv) A satellite is in a circular orbit around the planet Saturn.
Derive the relationship between the period of the satellite, the mass of Saturn and the radius
of the orbit.
(v) The period of the satellite is 380 hours. Calculate the radius of the satellite’s orbit around
Saturn.
(vi) The satellite transmits radio signals to earth. At a particular time the satellite is 1.2 × 1012 m
from earth. How long does it take the signal to travel to earth?
(vii) It is noticed that the frequency of the received radio signal changes as the satellite orbits
Saturn. Explain why.
Gravitational constant = 6.7 × 10–11 N m2 kg–2;
mass of Saturn = 5.7 × 1026 kg;
speed of light = 3.0 × 108 m s–1
2005 Question 12 (a)
(i) State the principle of conservation of energy.
(ii) A basketball of mass 600 g which was resting on a hoop falls to the ground 3.05 m below.
What is the maximum kinetic energy of the ball as it falls?
(iii)On bouncing from the ground the ball loses 6 joules of energy.
What happens to the energy lost by the ball?
(iv) Calculate the height of the first bounce of the ball.
(acceleration due to gravity = 9.8 m s–2)
