Simple intuition
The Bloch sphere turns an abstract state into a direction in space. Rotating that direction is often easier to picture than manipulating amplitudes directly.
Precise explanation
Pure one-qubit states can be represented as points on the surface of the Bloch sphere. Gates such as X, Z, and H correspond to rotations or reflections in this representation. When a qubit is entangled with others, its reduced state may move inside the sphere rather than on the surface.
Example or analogy
Example: |0⟩ sits at the north pole and |1⟩ at the south pole. Hadamard moves |0⟩ to an equatorial state, which matches what the simulator now shows in the Bloch sphere panel.
Common misconception
The Bloch sphere does not represent physical motion through ordinary space. It is a compact picture of the state of one qubit.