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Compare the kinetic energies of rotation...

Compare the kinetic energies of rotation of the pulgar and of the Sun . What is the source of the increase in kinetic energy?

Text Solution

Verified by Experts

The correct Answer is:
`3.6xx10^(45) J; 1.6 xx10^(36)J`

The kinetic energy of Sun.s rotation is
`k_(o.)=(I_(o.)omega_(o.)^2)/2 =(4pi^2M_(o.)R_(o.)^2)/(5T_(o.)^2)`
The kinetic energy of pulsar.s rotation is
`K=4pi^2M_(o.)R^2//5T^2`
The ratio of these quantities is `K/K_(o.)=T_(o.)^2/T^2~~2 xx10^9`
The increase in the kinetic energy of rotation of a star in the process of its contraction (collapse) is at the expense of the work of gravitational forces.
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