A car driving around a circular track has a centripetal acceleration of 97 m/s2 until it hits a slick spot and slides straight off the track. If the radius of the track is 61 m, what is the car's speed v when it leaves the track?

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A car driving around a circular track has a centripetal acceleration of 97 m/s2 until it hits a slick spot and slides straight off the track.

If the radius of the track is 61 m, what is the car's speed v when it leaves the track?

Expert Solution
Step 1

When performing a circular motion, a centripetal force acts on the object, which acts radially inwards towards the center of the circle.

This centripetal force produces a centripetal acceleration on the body, given as

a=v2r

From the given problem,

a=97 m/s2r=61 m

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