Student Login

Home›Chapters›Gravitation PYQs›Satellite Energy & Weightlessness›Question 33

JEE Main 2013 · Satellite Energy & Weightlessness

Satellite Energy & Weightlessness question from JEE Main 2013

Q33JEE Main 2013Medium

Satellite Energy & Weightlessness

What is the minimum energy required to launch a satellite of mass $m$ from the surface of a planet of mass $M$ and radius $R$ in a circular orbit at an altitude of $2R$ ?

Show answer and solution

Answer: (a)

Energy on surface: $E_1 = -\frac{GMm}{R}$ (at rest).
In orbit of radius $r = R + 2R = 3R$ : $E_2 = -\frac{GMm}{2r} = -\frac{GMm}{6R}$ .
Minimum energy $= E_2 - E_1 = \frac{GMm}{R} - \frac{GMm}{6R} = \frac{5GMm}{6R}$ .
So the answer is (a) $\frac{5GmM}{6R}$ .

Report a mistake

More questions on Satellite Energy & Weightlessness

The additional kinetic energy to be provided to a satellite of mass m revolving around a…NEET 2010 (AIPMT, Mains)
For a satellite moving in an orbit around the earth, the ratio of kinetic energy to…NEET 2005 (AIPMT)
Energy required to move a body of mass m from an orbit of radius 2R to 3R isJEE Main 2002 (AIEEE)
Gravitational force is required forNEET 2000 (AIPMT)
The satellite of mass m is orbiting around the earth in a circular orbit with a velocity…NEET 1991 (AIPMT)
The kinetic energy of a revolving satellite (mass m) at a height equal to thrice the…MHT CET 2026 (15 May, Shift 1)
The minimum energy required to launch a satellite of mass m from the surface of a planet…MHT CET 2026 (19 May, Shift 2)
Initially a satellite of 100 kg is in a circular orbit of radius 1.5RE. This satellite…JEE Main 2026 (21 Jan, Shift 1)