Question 1 of 3 Part A.)Planet-X has a mass of 5.78×10 24 kg and a radius of 821

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Question 1 of 3

Part A.)Planet-X has a mass of 5.78×1024 kg and a radius of 8210 km. What is the First Cosmic Speed i.e. the speed of a satellite on a low lying circular orbit around this planet? (Planet-X doesn't have any atmosphere.)

Part B)What is the Second Cosmic Speed i.e. the minimum speed required for a satellite in order to break free permanently from the planet?

Part C) If the period of rotation of the planet is 14.8 hours, then what is the radius of the synchronous orbit of a satellite?

Question 2 of 3:

The escape velocity of a bullet from the surface of planet Y is 1855.0 m/s. Calculate the escape velocity from the surface of the planet X if the mass of planet X is 1.41 times that of Y, and its radius is 0.919 times the radius of Y.

Question 3 of 3:

Find the speed of a satellite in a circular orbit around the Earth with a radius 3.19 times the mean radius of the Earth. (Radius of Earth = 6.37×103 km, mass of Earth = 5.98×1024 kg, G = 6.67×10-11 Nm2/kg2.)

Explanation / Answer

mass = 5.78×1024 kg

radius= 8210 km

orbital velocity(vo) =sqrt(GM/R)=6852 m/s

escape velocity(ve)=sqrt(2)v0=6852 m/s=6.85 km/s

T=14.8 h

we know that T2is proportional to R3

T2=4pi2R3/GM

R=114582 km

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