The cable of the 1800 kg elevator cab in the figure snaps when the cab is at rest at the first floor, where the cab bottom is a distance d = 8.7 m above a spring of spring constant k = 0.18 MN/m. A safety device clamps the cab against guide rails so that a constant frictional orce of 3.6 kN opposes the cab's motion. (a) Find the speed of the cab just before it hits the spring. (b) Find the maximum distance x hat the spring is compressed (the frictional force still acts during this compression). (c) Find the distance (above the point of maximum compression) that the cab will bounce back up the shaft. (d) Using conservation of energy, find the approximate total distance that the ab will move before coming to rest. (Assume that the frictional force on the cab is negligible when the cab is stationary.)

The cable of the 1800 kg elevator cab in the figure snaps when the cab is at rest at the first floor, where the cab bottom is a distance d = 8.7 m above a spring of spring constant k = 0.18 MN/m. A safety device clamps the cab against guide rails so that a constant frictional orce of 3.6 kN opposes the cab's motion. (a) Find the speed of the cab just before it hits the spring. (b) Find the maximum distance x hat the spring is compressed (the frictional force still acts during this compression). (c) Find the distance (above the point of maximum compression) that the cab will bounce back up the shaft. (d) Using conservation of energy, find the approximate total distance that the ab will move before coming to rest. (Assume that the frictional force on the cab is negligible when the cab is stationary.)