A horizontal circular turning has a curved length L and radius R. A car enters the turn with a speed `V_(0)` and its speed increases at a constant rate f. If the coefficient of friction is `mu`,
(a) At what time `t_(0)`, after entering the curve, will the car skid? (Take it for granted that it skids somewhere on the turning)
(b) At a time `t (lt t_(0))` what is the force of friction acting on the car?

Answer

(a) `t_(0) = ([R^(2)(mu^(2) g^(2)- f^(2))]^((1)/(4))- V_(0))/(f)`
(b) `msqrt(((V_(0) + ft)^(4))/(R^(2)) + f^(2))`