A rocket is fired straight up through the atmosphere from the SouthPole, burning

Question

A rocket is fired straight up through the atmosphere from the SouthPole, burning out at an altitude of 212 kmwhen traveling at 5.0 km/s. (a) What maximum distance from Earth's surfacedoes it travel before falling back to Earth?
1 km

(b) Would its maximum distance increase if it were fired from alaunch site on the equator? Why?
2Yes because the value of the equator is less on the equator than at the poles. (a) What maximum distance from Earth's surfacedoes it travel before falling back to Earth?
1 km

(b) Would its maximum distance increase if it were fired from alaunch site on the equator? Why?
2Yes because the value of the equator is less on the equator than at the poles.

Explanation / Answer

(a) What maximum distance from Earth's surfacedoes it travel before falling back to Earth?
1 km

acceleration due to gravity at the height of212km=g'=g*R*R/(R+212)2where R is the radius of theearth=6380km
calculating the value of g'=9.179m/sec2
now maximum height=u*u/2g=5000*5000/2*9.179=1361804.11m=1361.8km
Whatmaximum distance from Earth's surface does it travel before fallingback to Earth?
212+1361.81=1573.81km


(b) Would its maximum distance increase if it were fired from alaunch site on the equator? Why?
2Yes because the value of the equator is less on the equator than at the poles.

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