Physics — Definition Check Centripetal force is the force that acts along the radius of a circle and is directed toward the centre of the circle.

Introduction / Context:
The item tests your understanding of uniform circular motion from introductory mechanics. Specifically, it asks whether the definition of centripetal force has been stated accurately. Centripetal force is essential for keeping an object moving in a circular path and always points toward the circle’s centre.

Given Data / Assumptions:

• An object moves along a circular path of radius r.
• The motion may be uniform (constant speed) or non-uniform; in either case, the direction of the required inward force is radial toward the centre.

Concept / Approach:
In circular motion, velocity constantly changes direction. A radial inward acceleration, called centripetal acceleration, is required to change this direction. The net inward force providing this acceleration is the centripetal force. For uniform circular motion, magnitude a_c = v^2 / r and F_c = m * v^2 / r. The direction is always toward the centre (radially inward).

Step-by-Step Solution:

Verification / Alternative check:
In the absence of sufficient inward force, the object would not curve inward; it would move tangentially by inertia. Observing conical pendulum, banked curves, or planets orbiting confirms the inward nature of the required force.

Why Other Options Are Wrong:
'False' would imply the force is outward or tangential, which contradicts mechanics. The outward sensation (often called centrifugal) is a pseudo-effect in a rotating frame, not a real force in an inertial frame.

Common Pitfalls:
Confusing centripetal (real, inward) with centrifugal (apparent, outward in a rotating frame). Also, assuming the force is a new kind of force; it is simply the net inward force (tension, gravity, friction, etc.).

Final Answer:
True.