Question

(8c6p85) A car weighing 1.07×104 N and traveling at 14.00 m/s attempts to round an unbanked curve with a radius of 51 m, what force of friction is required to keep the car on its circular path? Submit Answer Tries 0/7 If the coefficient of static friction between the tires and road is 0.500, is the attempt at taking the curve successful? Submit Answer Tries 0/7

Answer 1

a) The mass of the car is

$m=W/g=1.07\times 10^4/9.8=1091.84\,\,kg$

The force of friction required is the centripetal force

$F=mv^2/r=1091.84\times 14^2/51=4196.08\,N$

b) the coefficient of friction required is

$\mu =F/W=4196.08/1.07\times 10^4=0.39$

Since the coefficient of static friction is more than the required values of friction, the attempt is successful. Answer is yes