A satellite travels around Earth in uniform circular motion at altitude 41440 km
ID: 2208711 • Letter: A
Question
A satellite travels around Earth in uniform circular motion at altitude 41440 km above Earth's surface. The time for the satellite to complete one orbit is 1.04 105 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?-
-a. 45 degrees above the x-axis
-b. 45 degrees below the x-axis
-c. in the -y direction
-d. in the +x direction
-e. in the +y direction
(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?-
-a. 45 degrees above the x-axis
-b. 45 degrees below the x-axis
-c. in the -y direction
-d. in the +x direction
-e. 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/s^2
Direction?-
-a. 45 degrees above the x-axis
-b. 45 degrees below the x-axis
-c. in the -y direction
-d. in the +x direction
-e. in the +y direction
(d) What is the satellite's instantaneous acceleration at point D?
magnitude: __?__m/s^2
Direction?-
-a. 45 degrees above the x-axis
-b. 45 degrees below the x-axis
-c. in the -y direction
-d. in the +x direction
-e. in the +y direction
Explanation / Answer
a)radius of orbit=47840 km
v=2r/T=2890 m/s in the -y direction
b)From A to B,
displacement=rj-ri
Avg velocity=2602 m/s 45 degree above x-axis
c)a avg=0.1572 m/s2 45 degrees below the x-axis
d)a ins= v2/r=0.175 m/s2 in the -y direction
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