Since neutron stars are denser than black holes, wouldn't that make neutron stars have a higher gravitational force than black holes?

 Neutron stars and black holes both exhibit incredibly strong gravitational forces due to their immense densities, but comparing their gravitational forces solely based on density can be misleading.

Density refers to the mass contained within a given volume. Neutron stars are incredibly dense because they pack a tremendous amount of mass (mostly neutrons) into a relatively small volume, often around the size of a city, resulting in extremely high density.

On the other hand, black holes are regions of space where the gravitational pull is so intense that nothing, not even light, can escape from beyond a certain point called the event horizon. Black holes are formed when a massive star collapses into a singularity, an infinitely dense point at the center, surrounded by an event horizon.

The gravitational force exerted by an object is determined by its mass and distance. For a given mass, if you were at the same distance from a neutron star and a black hole, you would experience a stronger gravitational force near the black hole because the mass is concentrated within a much smaller volume (the singularity) compared to the neutron star.

The gravitational force around a black hole can be described by its Schwarzschild radius, which depends solely on its mass and not on its density. The region inside this radius is where the gravitational force is so strong that not even light can escape, giving it its defining feature as a black hole.

So, while both neutron stars and black holes have immensely strong gravitational forces due to their mass, the extreme gravitational force near a black hole's event horizon makes it significantly powerful, regardless of its density or the density of a neutron star.