- Gravitational Potential of the Earth. - Gravitational Field Strength of the Earth. - How are the above quantities in and related? • (1999) Show that the total energy of a satellite in a circular orbit equals half its potential energy. • (1999) Calculate the height above the Earth's surface for a satellite in a parking orbit. • (1999) What would be the length of a day if the rate of rotation of the Earth were such that the acceleration of gravity g=0 at the equator? • (2007) Evaluate the work done by the Earth's gravitational force and by the tension in the string as the ball moves from its highest to its lowest point. • (2007) Two small spheres each of mass 10g are attached to a light rod 50 cm long. The system Is set into oscillation and the period of torsional oscillation is found to be 770 seconds. To produce maximum torsion to the system two large spheres each of mass 10 kg are placed near each suspended sphere, if the angular deflection of the suspended rod Is 3.96 x 10-3 rad. and the distance between the centres of the large spheres and small spheres is 10 cm, determine the value of the universal constant of gravitation, G, from the given information. (2007) On the basis of Newtons universal law of gravitation, derive Keplers third law of plan- etary motion. (2007) A planet has half the density of earth but twice its radius. What will be the speed of a satellite moving fast past the surface of the planet which has on no atmosphere? - ( Radius of earth Rg = 6.4 x 10° km and gravitational potential energy gE = 9.81 N/kg • (2009) State Kepler's laws of planetary motion. (2009) Explain the variation of acceleration due to gravity, g . inside and outside the ecarth. (2009) Derive the formula for mass and density of the earth. (2009) What do you understand by the term satellite? • (2009) A satellite of mass 100 kg moves in a circular orbit of radius 7000 km around the earth, assumed to be a sphere of radius 6400 km. Calculate the total energy needed to place the satellite in orbit from the earth assuming g = 10 N/kg at the earths surface. • (2013) With the aid of a labeled diagram, sketch the possible orbits for a satellite launched from the earth. - From the diagram above, write down an expression for the velocity of a satellite corre- sponding to each orbit. • (2014) Define the universal gravitational constant. (2014) How is the gravitational potential related to gravitational field strength?

- Gravitational Potential of the Earth. - Gravitational Field Strength of the Earth. - How are the above quantities in and related? • (1999) Show that the total energy of a satellite in a circular orbit equals half its potential energy. • (1999) Calculate the height above the Earth's surface for a satellite in a parking orbit. • (1999) What would be the length of a day if the rate of rotation of the Earth were such that the acceleration of gravity g=0 at the equator? • (2007) Evaluate the work done by the Earth's gravitational force and by the tension in the string as the ball moves from its highest to its lowest point. • (2007) Two small spheres each of mass 10g are attached to a light rod 50 cm long. The system Is set into oscillation and the period of torsional oscillation is found to be 770 seconds. To produce maximum torsion to the system two large spheres each of mass 10 kg are placed near each suspended sphere, if the angular deflection of the suspended rod Is 3.96 x 10-3 rad. and the distance between the centres of the large spheres and small spheres is 10 cm, determine the value of the universal constant of gravitation, G, from the given information. (2007) On the basis of Newtons universal law of gravitation, derive Keplers third law of plan- etary motion. (2007) A planet has half the density of earth but twice its radius. What will be the speed of a satellite moving fast past the surface of the planet which has on no atmosphere? - ( Radius of earth Rg = 6.4 x 10° km and gravitational potential energy gE = 9.81 N/kg • (2009) State Kepler's laws of planetary motion. (2009) Explain the variation of acceleration due to gravity, g . inside and outside the ecarth. (2009) Derive the formula for mass and density of the earth. (2009) What do you understand by the term satellite? • (2009) A satellite of mass 100 kg moves in a circular orbit of radius 7000 km around the earth, assumed to be a sphere of radius 6400 km. Calculate the total energy needed to place the satellite in orbit from the earth assuming g = 10 N/kg at the earths surface. • (2013) With the aid of a labeled diagram, sketch the possible orbits for a satellite launched from the earth. - From the diagram above, write down an expression for the velocity of a satellite corre- sponding to each orbit. • (2014) Define the universal gravitational constant. (2014) How is the gravitational potential related to gravitational field strength?