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D. Toward the center of the circle.
In uniform circular motion, the object is constantly changing its direction as it moves around the circle. This change in direction is due to the acceleration of the object, which is always directed toward the center of the circle. This acceleration is also responsible for providing the necessary centripetal force to keep the object moving in a circular path.
In uniform circular motion, the force and acceleration are directed toward the center of the circle, which corresponds to option D.
Uniform circular motion occurs when an object moves in a circle at a constant speed. Despite the speed being constant, the direction of motion continuously changes because the object is constantly changing its direction, not its speed. This change in direction implies an acceleration, known as centripetal acceleration.
According to Newton's first law of motion, an object will maintain its state of uniform motion unless acted upon by an external force. In the case of uniform circular motion, the object is constantly changing direction, so there must be a force acting on it. This force is called the centripetal force, and it is directed toward the center of the circle.
Therefore, both the acceleration (centripetal acceleration) and the force (centripetal force) responsible for maintaining the circular motion are directed toward the center of the circle. This direction ensures that the object continues to move in a circular path rather than in a straight line tangent to the circle.