A 4 kg object is moving in a circular path of radius 2 m with a speed of 6 m/s.

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Question: A 4 kg object is moving in a circular path of radius 2 m with a speed of 6 m/s. What is the centripetal force acting on it?

Options:

Correct Answer: 12 N

Solution:

Centripetal force F = mv²/r = 4 kg * (6 m/s)² / 2 m = 72 N / 2 = 36 N.

A 4 kg object is moving in a circular path of radius 2 m with a speed of 6 m/s. What is the centripetal force acting on it?

A 4 kg object is moving in a circular path of radius 2 m with a speed of 6 m/s. What is the centripetal force acting on it?

Step 1: Identify the mass of the object. The mass (m) is given as 4 kg.
Step 2: Identify the speed of the object. The speed (v) is given as 6 m/s.
Step 3: Identify the radius of the circular path. The radius (r) is given as 2 m.
Step 4: Use the formula for centripetal force: F = mv²/r.
Step 5: Calculate v² (the speed squared): (6 m/s)² = 36 m²/s².
Step 6: Multiply the mass by v²: 4 kg * 36 m²/s² = 144 kg·m²/s².
Step 7: Divide the result by the radius: 144 kg·m²/s² / 2 m = 72 N.
Step 8: The centripetal force is 72 N.

Centripetal Force – The force required to keep an object moving in a circular path, directed towards the center of the circle.
Newton's Second Law – The relationship between force, mass, and acceleration, which is applied here to derive centripetal force.
Kinematics in Circular Motion – Understanding how speed and radius affect the forces acting on an object in circular motion.