Final answer:
The statement is false because, in uniform circular motion, the particle's direction of velocity is changing, which constitutes centripetal acceleration, even though the speed is constant. The statement is b) False.
Step-by-step explanation:
The statement that 'a particle traveling around a circle at constant speed will not experience an acceleration' is false. While the speed of the particle may be constant, the direction of its velocity is changing continuously as it moves along the circular path.
This change in direction is due to a centripetal acceleration directed towards the center of the circle. Acceleration is a vector quantity that includes both magnitude and direction, so even if the magnitude (the speed) is constant, a changing direction means there is acceleration.
In the context of uniform circular motion, the velocity vector's direction changes, forming a triangle with position vectors at successive times.
The change in velocity vector (Δv) points toward the center of the circle, indicative of centripetal acceleration. Hence, particles in uniform circular motion do experience acceleration.