6. A projectile is shot directly away from the Earth’s surface. Neglect the rota

Question

6. A projectile is shot directly away from the Earth’s surface. Neglect the rotation of the Earth.
a) What multiple of the Earth’s radius RE gives the radial distance a projectile reaches if its initial speed is 0.500 of the escape speed of the Earth?
b) What multiple of the Earth’s radius RE gives the radial distance a projectile reaches if its initial kinetic energy is 0.500 of the kinetic energy required to escape the Earth?
c) What is the least initial mechanical energy required at launch if the projectile is to escape the Earth?

Explanation / Answer

a.about 4.5 times less radius

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