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The table below shows the value of g at various locations from Earth’s centre.
(a) Sketch a graph of Distance vs Acceleration due to gravity. Graph the acceleration due to
gravity on the vertical axis. (2)
(b) A student concludes from the graph above that the acceleration due to gravity is inversely proportional to distance. Propose how a second graph could be used to confirm this relationship. (2)
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
A 4.00 x 102 kg satellite completes one orbit around Earth in 2 hours exactly.
(a) Calculate the radius of this satellite’s orbit. (3)
(b) What is the gravitational force acting on this satellite? (2)
(c) explain the nature of the force acting on the satellite in relation to its subsequent motion. (2)
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
Discuss the effects of Earth’s rotational motion on the launch of a rocket and compare low Earth with geostationary orbits. (5)
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
Jupiter has an orbital radius around the sun that is 5.2 times that of the Earth. Calculate the length of one year on Jupiter. (i.e. the time that it takes Jupiter to orbit the sun). (3)
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
The radius of the Earth is 6.38 x 106 m. A satellite is in orbit at an altitude of 38 000 km.
a) Calculate the gravitational potential energy (GPE) of a satellite of mass 1700kg at this altitude. (2)
b) Calculate the GPE of the satellite at the Earth’s surface. (2)
c) Outline how you would use the values in parts (a) and (b) to calculate the energy needed to life the satellite to this altitude. (1)
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
Explain the relationship between changes in gravitational potential energy and the performance of work. (2)
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
The weight exerted by an 85.0 kg mass when it is 8.00 x 103 km away from the centre of a planet is 4.25 x 102 N. Calculate the mass of this planet. (2)
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
Six students in the same class each built a pendulum and measured the time for one swing. Each student’s pendulum was different length. Each student used their own period and length measurement to calculate a value for “g”.
Without changing the length of each student’s pendulum or the equipment used, describe a procedure that could be used to achieve a more reliable result for “g”. (3)
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
Consider the following thought experiment.
Two towers are built on Earth’s surface. The top of each of the towers is 350km above the surface of the Earth. Tower A is built at the Earth’s North Pole and Tower B is built at the equator.
(a) Identical masses are simultaneously released from rest from the top of each tower. Compare the motion of each of the masses after their release. (3)
(b) Calculate the gravitational potential of a 2.0kg mass placed at the top of Tower B. The radius of the earth at the equator is 6378km. (1)
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
An investigation was performed in which the period, T, of a pendulum was measured as the length, l, was varied.
The student was told that, for a pendulum, T=2π√(l/g) where g is the value of g gravitational acceleration.
The results are shown in the table below.
(a) Suggest one way in which the period, T, of the pendulum could have been measured to this degree of precision. (1)
(b) The student undertaking the investigation then plotted the length, l, against the period squared, T2, using the data from the table. The graph is shown below with a line of best fit drawn.
The line of best fit does not meet the origin of the axes.
Suggest why this might be so. (2)
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.