The Global Positioning System (GPS) is a constellation of about 24 artificial satellites. The GPS satellites are uniformly distr
ibuted in a total of six orbits such that there are four satellites per orbit. The number of satellites and spatial distribution insures that at least eight satellites can be simultaneously seen at any time from almost anywhere on Earth. The GPS satellites circle the Earth at an altitude of about 20,000 km (13,000 miles) and complete two full orbits every day. The GPS satellites are not in a geostationary orbit, but rise and set two times per day. Each satellite broadcast radio waves towards Earth that contain information regarding its position and time. We can receive this information by using special receivers, called GPS receivers, which can detect and decode this information.
By combining signals transmitted by several satellites and received simultaneously, a GPS receiver can calculate its position on the Earth (i.e, its latitude and longitude) with an accuracy of approximately 10m. There are more sophisticated receivers that can be used to determine position with an accuracy of a few millimeters.
G = 6.673 times 10^-11 N m^2/kg^2 R_Earth = 7371 km M_Earth 5.972 kg
Please answer parts A through E.
Confirm that gEarth is about 9.8 m/s^2. (Show work)
Mars has a mass of 6.4 1 7 x 10^23kg and a radius of 2,106 miles. Calculate gMars:
Calculate Earth's gravitational force on a GPS satellite (use orbital radius and not the altitude for distance).
What is the force of gravity on a GPS satellite on Earth (do you even need to calculate it?)
Confirm that a GPS satellite orbiting at an altitude of about 20,000 km does indeed have a period of about 12 hours.
d) Let's take the force of gravitybon earth due to satellite as our answer in (c) because the Earth's gravitational force on a GPS satellite and the force of gravity on a GPS satellite on earth are equal and opposite (two mutual forces).
Answer is D.......Falling water turns a turbine that helps generate electricity.
Explanation:
Hydropower plants capture the energy of falling water to generate electricity. A turbine converts the kinetic energy of falling water into mechanical energy. Then a generator converts the mechanical energy from the turbine into electrical energy.
Since it is moving with a constant velocity therefore net force on it is zero
Tension force=weight
T=mg
Work done by Tension T is
Work done by Gravity will be equal in magnitude but opposite in sign and can be obtained by work energy theorem which states that change in kinetic energy of object is equal to work done by all the forces
