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a Car with a mass of 2000 kg is moving around a circular curve at a uniform velocity of 25 m/s the curve has a radius of 80 m what is a centripetal force on the car

User MStudent
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1 Answer

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Well, first of all, the car is not moving at a uniform velocity, because,
on a curved path, its direction is constantly changing. Its speed may
be constant, but its velocity isn't.

The centripetal force on a mass 'm' that keeps it on a circle with radius 'r' is

F = (mass) · (speed)² / (radius).

For this particular car, the force is

(2,000 kg) · (25 m/s)² / (80 m)

= (2,000 kg) · (625 m²/s²) / (80 m)

= (2,000 · 625 / 80) (kg · m / s²)

= 15,625 newtons .
User Gaurav Phapale
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