A non rotating spherical planet with no atmosphere has mass M and radius R. A pa

Question

A non rotating spherical planet with no atmosphere has mass M and radius R. A particle is fired off from the surface with speed equal to four -fifths of the escape speed. Use conservation of energy and angular momentum to calculate the farthest distance that it reaches measured from the centre of the planet, if it is fired off; a) radially b) tangentially A non rotating spherical planet with no atmosphere has mass M and radius R. A particle is fired off from the surface with speed equal to four -fifths of the escape speed. Use conservation of energy and angular momentum to calculate the farthest distance that it reaches measured from the centre of the planet, if it is fired off; a) radially b) tangentially a) radially b) tangentially

Explanation / Answer

E1 = E2
1/2mv^2 - GMm/r = 0
1/2mv^2 = GMm/r
V(escape) = sqrt(2GM/r)

here v=4/5 vescape

radially answer is=25R/9

tangentially =16R/9

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