State whether the following statements are true or false by writing T/F against them.

(a) Earth moves around the Sun with a uniform velocity.

(b) The motion of Moon around Earth in a circular path is an accelerated motion.

(c) A uniform linear motion is unaccelerated, while a uniform circular motion is an accelerated motion.

(d) In a uniform circular motion, the speed continuously changes because the direction of the motion changes.

(e) A boy experiences a centrifugal force on his hand when he rotates a piece of stone tied at one end of a string, holding the other end in the hand.

(a) False
Reason — The Earth does not move around the Sun with uniform velocity. It follows an elliptical orbit, which means its speed varies as it travels around the Sun.

(b) True
Reason — The motion of Moon around Earth in a circular path is an accelerated motion because in a circular motion, the direction of velocity is continuously changing, which in turn causes change in acceleration.

(c) True
Reason — In uniform linear motion, an object moves in a straight line with a constant speed. As there is no change in speed or direction, hence, there is no acceleration. On the other hand, in uniform circular motion, an object moves in a circular path at a constant speed and the direction of the object's velocity continuously changes as it moves around the circle. This change in direction results in centripetal acceleration.

(d) False
Reason — In uniform circular motion, the speed of the object remains constant, but its velocity, which includes both speed and direction, changes continuously.

(e) False
Reason — When the boy rotates the stone tied to a string and holds the other end in his hand, the force experienced by his hand is centripetal, not centrifugal.
Centripetal force is the force directed toward the center of the circular path, required to keep an object moving in a circular motion. Centrifugal force, on the other hand, is a fictitious force that appears to act outward from the center of rotation in a rotating reference frame.