Chapter 14, Problem 51EAP

Section-1

To determine

Gravitational energy due to the merger of two black holes using Einstein’s formula from the given data.

Given:

The merger of two black holes of masses $29M_{sun}$ and $36M_{sun}$ resulted in a single black hole with a mass of $62M_{sun}$ .

Energy released by the Sun during its entire main sequence $=1.21\times {10}^{43}\text{J}$

Section-2

To determine

Comparison of gravitational energy due to the merger of two black holes with energy released by a supernova explosion.

Given:

Energy released by a supernova explosion $=2.64\times {10}^{46}\text{J}$

Section-3

To determine

Comparison of gravitational energy due to the merger of two black holes with energy released by the Sun during its entire main sequence.

Given:

Energy released by the Sun during its entire main sequence. $1.21\times {10}^{43}\text{J}$