A 10 kg object is moving in a circular path of radius 5 m with a speed of 4 m/s.

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Question: A 10 kg object is moving in a circular path of radius 5 m with a speed of 4 m/s. What is the centripetal force acting on the object?

Options:

Correct Answer: 16 N

Solution:

Centripetal force F = mv²/r = 10 kg * (4 m/s)² / 5 m = 32 N.

A 10 kg object is moving in a circular path of radius 5 m with a speed of 4 m/s. What is the centripetal force acting on the object?

A 10 kg object is moving in a circular path of radius 5 m with a speed of 4 m/s. What is the centripetal force acting on the object?

Correct Answer: 32 N

Step 1: Identify the mass of the object. The mass (m) is given as 10 kg.
Step 2: Identify the speed of the object. The speed (v) is given as 4 m/s.
Step 3: Identify the radius of the circular path. The radius (r) is given as 5 m.
Step 4: Use the formula for centripetal force, which is F = mv²/r.
Step 5: Substitute the values into the formula: F = 10 kg * (4 m/s)² / 5 m.
Step 6: Calculate (4 m/s)², which is 16 m²/s².
Step 7: Multiply 10 kg by 16 m²/s² to get 160 kg*m²/s².
Step 8: Divide 160 kg*m²/s² by 5 m to find the centripetal force.
Step 9: The result is 32 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 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.