A satellite travels around Earth in uniform circular motion at altitude 42843 km

Question

A satellite travels around Earth in uniform circular motion at altitude 42843 km above Earth's surface. The time for the satellite to complete one orbit is 1.09 105 seconds. In the figure below, the satellite moves counterclockwise (ABCDA). State directions in terms of the x- and y-axes.

(a) What is the satellite's instantaneous velocity at point C? magnitude ____ km/s,

direction(pick one):

1. in the +x direction

2. in the + y direction

3. 45 degrees above the -x axis

4. in the -y direction

5. 45 degrees below the -x axis

(b) What is the satellite's average velocity for one quarter of an orbit, starting at A and ending at B? magnitude _____ km/s,

direction(pick one):

1.in the +x direction

2. 45 degrees above the -x axis

3. 45 degrees below the -x axis

4. in the + y direction

5. in the - y direction

(c) What is the satellite's average acceleration for one quarter of an orbit, starting at A and ending at B? magnitude ______ m/s2

direction(pick one):

1. in the -y direction

2. 45 degrees below the -x axis

3. in the + y direction

4. in the +x direction

5. 45 degrees above the -x axis

(d) What is the satellite's instantaneous acceleration at point D?

magnitude ______m/s2

direction (pick one):

1. in the +y direction

2. 45 degrees above the -x axis

3. in the - y direction

4. 4 degrees below the -x axis

5. in the +x direction

Explanation / Answer

3. 45 degrees above the -x axis 4. in the + y direction 5. 45 degrees above the -x axis 4. 4 degrees below the -x axis

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