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March 26, 2017

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a 17 kg car travels in a flat circle . At a certain instant the velocity of the car is 18m/s west and the total acceleration of the car is 2m/s^2 at 51 degrees north west. what is its radius? answer in units of km.

  • physics - ,

    Do you want the radius of the car or the path that it is on?

    The centripetal acceleration of the car would be perpendicular to the velocity. If the total acceleration is 51 degrees N of W, there must also be a tangential acceleration also.

    The centripetal acceleration would be 2.0 m/s^2 sin 51 = 1.554 m/s^2

    The centripetal acceleration must also be V^2/R. Since you know V, solve for R.

    The mass of the car doesn't matter in this problem.

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