A satellite of mass m is moving in a circular orbit around the earth at a constant speed v and at an altitude h above the earth'

Question

3 years ago

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A satellite of mass m is moving in a circular orbit around the earth at a constant speed v and at an altitude h above the earth'

s surface.a. find the speed of a satellite orbiting the earth 1000 km above its surface.the radius of the earth rearth = 6371 km is and its mass is mearth = 5.98x1024 kg .

Physics

1 answer:

qwelly [4] · Answer 1 · 2022-05-07T06:07:53+03:00

The satellite executes a rotation motion around the earth, because Earth's force of attraction plays the role of centripetal force:

Fa=Fcp=>k*Mp*m/(Rp+r)²=mv²/(Rp+r)=>v=√(k*Mp/(Rp+r))=√(6.67*10⁻¹¹*5.98*10²⁴/(6371*10³+1000*10³))=√(39.88*10¹³/(7371*10³))=√(5.41*10⁷)=7355.53 m/s

Check the calculations again !