A 3 kg object is moving in a circular path of radius 2 m with a speed of 4 m/s.

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Question: A 3 kg object is moving in a circular path of radius 2 m with a speed of 4 m/s. What is the centripetal force acting on it?

Options:

Correct Answer: 12 N

Solution:

Centripetal force F = mv²/r = 3 kg * (4 m/s)² / 2 m = 24 N.

A 3 kg object is moving in a circular path of radius 2 m with a speed of 4 m/s. What is the centripetal force acting on it?

A 3 kg object is moving in a circular path of radius 2 m with a speed of 4 m/s. What is the centripetal force acting on it?

Step 1: Identify the mass of the object. In this case, the mass (m) is 3 kg.
Step 2: Identify the speed of the object. The speed (v) is 4 m/s.
Step 3: Identify the radius of the circular path. The radius (r) is 2 m.
Step 4: Use the formula for centripetal force, which is F = mv²/r.
Step 5: Substitute the values into the formula: F = 3 kg * (4 m/s)² / 2 m.
Step 6: Calculate (4 m/s)², which is 16 m²/s².
Step 7: Multiply 3 kg by 16 m²/s² to get 48 kg*m²/s².
Step 8: Divide 48 kg*m²/s² by 2 m to find the centripetal force.
Step 9: The result is 24 N, which is the centripetal force acting on the object.

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 fundamental in calculating forces acting on objects.
Kinematics – The study of motion, which includes understanding speed, velocity, and the effects of forces on moving objects.