Question
(i) Hitung laju linear satelit A yang mengorbit bumi pada ketinggian 1500km.
Calculate the linear speed of satellite A orbiting the earth at an altitude of 1500km.
Answer
Hi Farhaini,
Orbital speed and escape speed are two separate things.
Escape speed is v=\sqrt\frac{2GM}{r}, where the satellite orbits fast enough to escape into outer space (to infinity and beyond~) It is derived from equating loss in KE with gain in GPE.
Orbital speed is v=\sqrt\frac{GM}{r}, where the satellite will orbit in a circular motion and cannot escape into outer space. (In reality, the path should be elliptical, but what I learned for A-levels is that we assume it as circular since we only learned Kepler’s Third Law, I’m not so sure about SPM as you all learned all 3 laws)
Not so sure if SPM covers the derivation of it, or if it’s slightly different from the derivation I remembered, but you can take a look at it:
So you should be using orbital speed instead of escape speed, which is v=\sqrt\frac{GM}{r} instead of v=\sqrt\frac{2GM}{r}. Hope this helps!
Yeahh SPM covers the derivation and all the 3 laws too…I just realized that I put 2 there Thank you very much for helping me!