A car of mass 461 kg is travelling with a constant speed of 59 km/hr on a wet ro

Question

A car of mass 461 kg is travelling with a constant speed of 59 km/hr on a wet road around a circular bend with radius 17 m. The coefficient of static friction mu_s between the tires and the road is enough to prevent skidding. The coefficient of kinetic friction mu_k, as usual, is less than mu_s. Take g to be 9.81 m/s^2. Select True or False The acceleration of the car is 15.80 m/s^2 directed outwards. The net (total) force on the car is 8571.03 N. After the skid has begun, the total force on the car is zero. The car encounters a patch of water on the road, and so the coefficients of friction between the tires and the road are reduced. At the exact moment that the car starts to skid, the value of the total force acting on it is .... mu_s mg.

Explanation / Answer

Here ,

speed of car , v = 59 km/hr

v = 16.4 m/s

radius , r = 17 m

acceleration , a = v^2/r

a = 16.4^2/17

a = 15.80 m/s^2

net force ,f = sqrt((15.80 * 461)^2 + (461 * 9.8)^2) = 8571 N

hence ,

1 - True

2 - TRUE

3 - FALSE

4 - FALSE

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