4. a 1,000-kilogram satellite completes a uniform circular orbit of radius 8.0 x 10 meters as
measured from the center of earth. the mass of earth is approximately 6.0 x 10-7 kilograms,
and the universal gravity constant is approximately 7.0 x 10-11 n•m/kg. determine the
work done by gravity as the satellite completes one full orbit around earth.

Zero

Explanation:

The work done by a force on an object is given by:

where

F is the magnitude of the force

d is the displacement of the object

is the angle between the direction of the force and the displacement of the object

In this situation, the force is the force of gravity acting on the satellite. This force always points towards the centre of the trajectory, so it is always perpendicular to the direction of motion of the satellite (since the orbit is circular), so and . Therefore, the work done by gravity is also zero.

the temperature in kelvin of 2.0 dm3 of an ideal gas is doubled and its pressure is increased by a factor of four. what is the final volume of the gas