What is the period of revolution of a satellite with mass m that orbits the earth in a circular path of radius 7880 km (about 1500 km above the earth’s surface)? G = 6.674 × 10−11 Nm2/kg2 and mE = 5.97 × 1024 kg. A. 100 min
B. 90 min
C. 116 min
D. 105 min

Complete Question:

Upon searching online, the full part of the question contains these two parts:

(a) determine the time it takes the police officer to reach the commuter.

Find (b) the speed and (c) the total displacement of the officer as he overtakes the commuter.

a) 84 seconds

b) 42 m/s

c) 1764 m

Explanation:

a) To find the time taken for the police officer to reach the commuter, we need to set their distance traveled 's' to be equal.

Now we can solve the following two equations for the officer and commuter:

  (for the officer as his initial speed u = 0 m/s)

(for the commuter, as her initial speed is given but acceleration is 0 m/s^2)

As s is equal we can solve these equations in the following way for the time:

thus the time taken is 84 seconds.

b) Speed of officer = acceleration * time taken to overtake commuter

   Speed of officer = 0.5 * 84 = 42 m/s

c) Total displacement = 0.5 * a * (t^2)

   Total displacement = 0.5 * 0.5 * (84^2)

   Total displacement = 1764 m