A satellite of mass 190 kg is placed into Earth orbit at a height of 500 km abov

Question

A satellite of mass 190 kg is placed into Earth orbit at a height of 500 km above the surface. Assuming a circular orbit, how long does the satellite take to complete one orbit? h What is the satellite's speed? If you know the net force acting on an object that moves in a circle, how can you calculate its speed? m/s Starting from the satellite on the Earth's surface, what is the minimum energy input necessary to place this satellite in orbit? Ignore air resistance but include the effect of the planet's daily rotation. You appear to have correctly calculated the energy using your incorrect result for the speed from part (b). J

Explanation / Answer

apply Vorbital = sqrt(GM/(R+h)

Vo = Sqrt(6.67*10^-11* 5.98*10^24/(6400000+500000)

Vo = sqrt(57.80 *10^6)

Vo = 7.608 Km/s

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GPE = _Gm1m2/r

GPE = 6.67 *(10^-11) * 5.98*10^24 * 190/(6400000+500000)

GPE = 1.098 *10^10 Joules

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