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  • Calculate Centripetal Force: Physics Problem & Solution
    Here's how to calculate the centripetal force on the car:

    Understanding Centripetal Force

    Centripetal force is the force that keeps an object moving in a circular path. It always points towards the center of the circle.

    Formula

    The formula for centripetal force is:

    * F = (mv^2) / r

    Where:

    * F is the centripetal force (in Newtons)

    * m is the mass of the object (in kilograms)

    * v is the velocity of the object (in meters per second)

    * r is the radius of the circular path (in meters)

    Calculations

    1. Plug in the values:

    * m = 2000 kg

    * v = 25 m/s

    * r = 80 m

    2. Calculate the centripetal force:

    * F = (2000 kg * (25 m/s)^2) / 80 m

    * F = (2000 kg * 625 m^2/s^2) / 80 m

    * F = 156250 N

    Answer

    The centripetal force on the car is 156,250 Newtons.

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