1. Is the relationship between velocity and centripetal force a direct, linear relationship or is it a nonlinear square relationship? Explain the answer using your graphs of and . What is the precise mathematical relationship between velocity and centripetal force?

non linear square relationship

Explanation:

formula for centripetal force is given as

a = mv^2/r

here a ic centripetal acceleration , m is mass of body moving in circle of radius r and v is velocity of body . If m ,and r are constant we have

a = constant × v^2

a α v^2

hence non linear square relationship

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