A projectile is fired from the surface of the Earth of radius R with a velocity η v e , where v e is the escape velocity and η 1 . Neglecting the air resistance, the orbital velocity of the projectile is

Question

A projectile is fired from the surface of the Earth of radius R with a velocity η v e , where v e is the escape velocity and η 1 . Neglecting the air resistance, the orbital velocity of the projectile is, v e 1 - η 2, v e η 2 5, 2 5 v e η, 2 η 5 v e

MARKS App · Accepted Answer

Velocity at the surface = v s = η v e Velocity in orbit = v 0 By conversation of mechanical energy, 1 2 m v s 2 + - G M m R = 1 2 m v 0 2 - G M m r … 1 By Newton's law, G M m r 2 = m v 0 2 r … 2 Solving equations (1) and (2) v 0 = v e 1 - η 2

Search any question & find its solution

Looking for more such questions to practice?