A bumper, consisting of a nest of three springs, is used to arrest the horizontal motion of a large mass which is traveling at 45 m/s as it contacts the bumper. The two outer springs cause a deceleration proportional to the spring deformation. The center spring increases the deceleration rate when the compression exceeds 0.7 m as shown on the graph. Determine the maximum compression x of the outer springs. Deceleration m/s² 4380 2920 1460 0 x, m 45 m/s 0 1 0.7 1.4

A bumper, consisting of a nest of three springs, is used to arrest the horizontal motion of a large mass which is traveling at 45 m/s as it contacts the bumper. The two outer springs cause a deceleration proportional to the spring deformation. The center spring increases the deceleration rate when the compression exceeds 0.7 m as shown on the graph. Determine the maximum compression x of the outer springs. Deceleration m/s² 4380 2920 1460 0 x, m 45 m/s 0 1 0.7 1.4