Legend

 ac = centripetal acceleration v = velocity r = radius Fc = centripetal force m = mass Fg = force of gravity G = universal constant

Russian Space Station Mir over the Pacific Ocean.

Problems

 Before you start the Problems, be sure to have a pen/pencil and paper for working out the problems, and also a calculator.  If you want to use our java calculator:

1) This diagram shows the path of a planet orbiting a central mass:

The two areas are swept out in equal intervals of time.  How does area 1 compare to area 2?
a) area 1 = area 2
b) area 1 < area 2
c) area 1 > area 2
d) insufficient information given to compare the areas

2) A 1500 kg spaceship circles a planet once every 4.0 X 105 s with an orbital radius of 3.6 X 107 m.  What is the mass of this planet?

 x 1023 kg

3) An object is located on the surface of a planet.  The work required to remove this object from the planet's gravitational field depends on which combination of the following three variables:

 mass of the planet mass of the object radius of the planet a) yes yes yes b) yes yes no c) yes no yes d) no yes yes

4) A satellite is placed in orbit around the sun.  The orbital radius of the satellite is twice the orbital radius of the earth.  What is the orbital period of this satellite?

 years

5) Find the gravitational force of attraction between a 75 kg mass and a 1500 kg mass when their centers are 10 m apart.

 x 10-8 N

6) A circular space station of radius of 120 m is to be rotated so that its astronauts experience an effect similar to that of a gravitational field.  If the field is to be 5.0 m/s2 at this radius, what should be the period of rotation of the space station?

 s
 RESULTS

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