Question

The potential energy of a satellite is – 8×109

J, then what is its binding energy ? ​

Answer 1

Answer:

Potential Energy = -8 × 10⁹ J

Binding Energy = ?

★According to the Question :

Here the Total Energy in infinite orbit is 0

⇒ Binding Energy = Total Energy in Infinite Orbit - Total Energy in given Orbit

⇒ Binding Energy = 0 - Total Energy in given Orbit

⇒ Binding Energy = -Total Energy in given Orbit

Total Energy in the original orbit is given by, -GMm/2(r+h) & the Potential Energy of the satellite is given by -GMm/(r+h)

So we observe that Potential Energy/2 is equal to the Total Energy of the satellite in original orbit

⇒ Total Energy = Potential Energy/2

⇒ -Total Energy = -8 × 10⁹/2

⇒ Total Energy = 4 × 10⁹

∴ The binding energy of the satellite is 4 × 10⁹