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$3.[-/20$ Points$]$ rope was released and left behind for cleanup by the Gotham City Department of Sanitation.

For simplicity, we will assume no friction from the tires on the road $($making the centripetal force coming entirely from the bat$-$rope$).$ following:

The maximum velocity of the batmobile, $v_{\text{m}\text{a}\text{x}}\frac{m}{s}$

Assuming that the batmobile is only going $75\%$ of $v_{\text{m}\text{a}\text{x}},$ what is the rope tension? $$ N

The time required to make the $90$ degree turn, $$

NOTE: For a $90$ degree turn, the distance covered is $\frac{1}{4}$ of the circumference of the circle.

NOTE: Count the zeroes on the tension carefully. The number should be between $1$ and $10$ million newtons.