Question

The potential energy of a satellite is – 8×109
J, then what is its binding energy ?

Answer 1

Explanation:

Potential Energy = -8 × 10⁹ J

Binding Energy = ?

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 = Potential Energy/2

⇒ -Total Energy = -8 × 10⁹/2

⇒ Total Energy = 4 × 10⁹

∴ The binding energy of the satellite is 4 × 10⁹

Answer 2

Answer:

Required binding energy is $4 \times {10}^{9}$J

Explanation:

Given, potential Energy =$- 8 \times {10}^{9}$J

We know total energy of infinite orbit is 0.

Binding energy $=$Total energy in infinite Orbit $-$Total energy in given orbit.

Binding energy $=$0- Total energy in given orbit.

(-Total energy )$= \frac{potential \: \: energy}{2}$

$= \frac{ - 8 \times {10}^{9} }{2}$ J

So, Total energy =$4 \times {10}^{9}$ J

So,the binding energy of the satellite is $4 \times {10}^{9}$ J