A curve in a road forms part of a horizontal circle. as a car goes around it at constant speed 14.0 m/s, the horizontal total force on the driver has magnitude 146 n. what is the total horizontal force on the driver if the speed on the same curve is 19.8 m/s instead

Because that part of the road is a circle we can use the radial force equation of circular motion

F=mv^2/r

Here we don't know m or r but we can solve for the ratio m/r since we are given the force at a known velocity v. Rewriting with this info:

146 = (m/r) (14^2)

146 = (m/r) (196)

146/196=m/r

0.745=m/r

Now we use this to get the answer

F=0.745 (19.8^2) = 292N