**Question 1:**

### What is the direction of the centripetal force acting on an object moving in uniform circular motion?

Explanation: The correct answer is C) Radial towards the center. The centripetal force is always directed towards the center of the circular path and is responsible for keeping the object in its circular trajectory. It acts as a centripetal "center-seeking" force.

**Question 2:**

### What is the relationship between centripetal force and centripetal acceleration for an object in uniform circular motion?

Explanation: The correct answer is A) They are equal. According to Newton's second law of motion, the net force acting on an object is equal to the product of its mass and acceleration. In uniform circular motion, the centripetal force is equal to the mass of the object multiplied by the centripetal acceleration, hence they are equal.

**Question 3:**

### What happens to the centripetal force required to maintain circular motion if the speed of the object is doubled?

Explanation: The correct answer is B) It is doubled. The centripetal force required to maintain circular motion is directly proportional to the square of the object's speed. If the speed is doubled, the centripetal force must also be doubled to keep the object moving in the same circular path.

**Question 4:**

### What is the relationship between the radius of the circular path and the centripetal acceleration of an object in uniform circular motion?

Explanation: The correct answer is A) They are directly proportional. The centripetal acceleration of an object in uniform circular motion is directly proportional to the radius of the circular path. A larger radius results in a smaller centripetal acceleration, while a smaller radius results in a larger centripetal acceleration.

**Question 5:**

### Which of the following factors does not affect the centripetal force required for circular motion?

Explanation: The correct answer is D) The direction of motion of the object. The centripetal force required for circular motion depends on the mass of the object (heavier objects require more force), the speed of the object (faster objects require more force), and the radius of the circular path (smaller radii require more force). The direction of motion, however, does not affect the centripetal force itself.

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