A satellite is in a circular orbit around the Earth at an altitude of h = 100 km
ID: 1442050 • Letter: A
Question
A satellite is in a circular orbit around the Earth at an altitude of h = 100 km. The radius of the Earth is equal to 6.37 times 10^6 m, and its mass is 5.98 times 10^24 kg. Find the speed of the satellite Find the period, which is the time it needs to make one complete revolution. Find the centripetal acceleration. Consider a horizontal circle. A 0.400 kg object is swung in a vertical circular path on a string speed is 4.00 m/s at the top of the circle. What is the centripetal acceleration of the object? What is tension (force) in the suing there? 0300 m long. If ifs An object revolves around the earth, making a complete revolution in 30 days. Assume circular orbit and a radius of Find the time it takes to complete one revolution in seconds, and Calculate the magnitude of the acceleration of the object towards the earth. A pilot in a jet aircraft executes a loop the loop, an shown in the Figure. In this maneuver, the aircraft moves in a vertical circle of radius 2.70 km at a constant speed of 225 m/s. which he maintains. Determine the acceleration on the pilot at the bottom of the loop, At the (op of the loop and at 60 degree measured counterclockwise from the bottom.Explanation / Answer
1)
h = 1000 km
R = 6.37 *10^6 m
m = 5.98 *10^24 Kg
a) speed of satellite =sqrt(G *M/(R + h))
speed of satellite =sqrt(6.673 *10^-11 * 5.98 * 10^24 /(6.37 *10^6 + 1 * 10^6))
speed of satellite = 7358 m/s
the speed of satellite is 7358 m/s
b)
Period of satellite = 2 * pi * (R +h)/v
Period of satellite = 2*pi * (6.37 *10^6 + 1 *10^6)/7358
Period of satellite = 6293.4 s
the Period of satellite is 6293.4 s
c)
centripetal acceleration = v^2/(R + h)
centripetal acceleration = (7358^2)/(6.37 *10^6 + 1 *10^6)
centripetal acceleration = 7.35 m/s^2
the centripetal acceleration is 7.35 m/s^2
2)
m = 0.4 Kg
L = 0.5 m
v = 4 m/s
a) centripetal acceleration = v^2/L
centripetal acceleration = 4^2/.5
centripetal acceleration = 32 m/s^2
the centripetal acceleration is 32 m/s^2
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