Final answer:
The kinetic energy of a star falling to the center of a galaxy can be calculated using the formula KE = 1/2 * mv^2.
Step-by-step explanation:
Kinetic energy is the energy an object possesses due to its motion. The formula for kinetic energy is KE = 1/2 * mv^2, where m is the mass of the object and v is its velocity.
To calculate the kinetic energy of a star falling to the center of a galaxy, you would need to know the mass of the star and its velocity. However, it's important to note that stars in galaxies typically have stable orbits and do not fall to the center. This question seems to be hypothetical rather than based on real astronomical scenarios.