Question

stellar-sized black holes form when a star explodes in a supernova, leaving behind enough material that collapses to a distance within the black hole’s schwarzschild radius. as the core of the star collapses, its gravity becomes so strong that nothing—not even light—can escape from it. sort the following stars according to whether they could or could not collapse into black holes.

Answer 1

Stars with stellar cores more massive than three times the mass of the Sun can collapse into black holes, while stars with stellar cores less massive than this threshold cannot.

Step-by-step explanation:

Stars with stellar cores more massive than three times the mass of the Sun when they exhaust their nuclear fuel can collapse to become black holes. These stars have enough material to collapse into a distance within the black hole's Schwarzschild radius, where even light cannot escape. Therefore, stars with stellar cores more massive than three times the mass of the Sun can collapse into black holes, while stars with stellar cores less massive than this threshold cannot.

Answer 2

Low-Mass Stars (up to 8 times the mass of the Sun): These stars do not typically have enough mass to undergo a supernova and form a black hole.

Intermediate-Mass Stars (8 to 25 times the mass of the Sun): Stars in this mass range may undergo a supernova, but the remnants are more likely to become neutron stars rather than black holes. Some theories suggest that in certain conditions, an intermediate-mass star could leave behind a black hole.

High-Mass Stars (more than 25 times the mass of the Sun): Stars in this category are more likely to undergo a supernova that can lead to the formation of a black hole. The more massive the star, the more likely it is to form a black hole.