$||||$ BIO It is well known that runners run more slowly around a curved track than a straight one. One hypothesis to explain this is that the total force from the track on a runner's feet$-$the magnitude of the vector sum of the normal force $($that has average value $mg$ to counteract gra, and the inward$-$directed friction force that causes the runner's centripetal acceleration$-$is greater when running around a curve than on a straight track. Runners compensate for this greater force by increasing the time their feet are in contact with the ground, which slows them down. For a sprinter running at $10\frac{m}{s}$ around a curved track of radius $20$ m $,$ how much greater $($as a percentage$)$ is the average total force on their feet compared to when they are running in a straight line?