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Question
2 true or false 1 point the acceleration of the object is directed tangent to the circle. true false
Step1: Analyze centripetal acceleration
In circular motion, centripetal acceleration \(a_{c}=\frac{v^{2}}{r}\) is directed towards the center of the circle.
Step2: Analyze tangential acceleration (if any)
If the speed of the object in circular motion is changing, there is also a tangential acceleration \(a_{t}=\frac{dv}{dt}\). But the total acceleration of an object in circular motion is the vector sum of centripetal and tangential accelerations. The statement claims that acceleration is directed tangent to the circle, ignoring the centripetal component (which is always present in circular motion, even if speed is constant).
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False