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Calculate the centripetal force acting on an object moving in a circle.

The centripetal force acting on an object moving in a circle can be calculated using the formula Fc = mv^2/r, where Fc is the centripetal force, m is the mass of the object, v is its velocity, and r is the radius of the circle.

When an object moves in a circle, it experiences a force that pulls it towards the center of the circle. This force is known as the centripetal force. The magnitude of the centripetal force depends on the mass of the object, its velocity, and the radius of the circle.

To calculate the centripetal force, we can use the formula Fc = mv^2/r. This formula states that the centripetal force is equal to the mass of the object multiplied by the square of its velocity, divided by the radius of the circle.

For example, suppose a car of mass 1000 kg is moving in a circle of radius 50 meters at a speed of 20 meters per second. To calculate the centripetal force acting on the car, we can use the formula Fc = mv^2/r:

Fc = (1000 kg)(20 m/s)^2 / 50 m
Fc = 8000 N

Therefore, the centripetal force acting on the car is 8000 N.

In conclusion, the centripetal force acting on an object moving in a circle can be calculated using the formula Fc = mv^2/r, which takes into account the mass of the object, its velocity, and the radius of the circle.

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