Motions in the planes need equation

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To find the centripetal acceleration of a 5.0 kg object revolving in a horizontal plane with a centripetal force of 400 N, the equation Ac = F/m can be used, resulting in an acceleration of 80 m/s². To determine the object's speed, the centripetal acceleration formula Ac = v²/r can be rearranged to solve for velocity, yielding v = √(Ac * r). Given the radius of 20 m, the speed can be calculated as v = √(80 m/s² * 20 m), which equals 40 m/s. The discussion emphasizes the relationship between force, mass, acceleration, and speed in circular motion. Understanding these equations is crucial for solving similar physics problems.
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Homework Statement



A 5.0 kg object revolving around a circular track in a horizontal plane at constant speed. The radius of the track is 20. meters and the centripetal force on the object is 4.0 x 10 exponent 2 Newtons

1) The objects centripetal acceleration is?

2) The objects speed is?

Homework Equations



Ac = Velocity exponent 2 / raidius

how can i find the velocity for the equation?

The Attempt at a Solution



im not sure how to do it yet can someone give me the equations for the problem?
 
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Since you can consider F = ma, you can find the centripetal acceleration since you already have the value of the force and mass. With that, you should be able to solve for the velocity.
 
oh thanks is the equation the same for objects speed?
 
how can i solve the objects speed?
 
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