Amass of 1000 kg drops from a height of 10 m on a platform of negligible mass. it is desired to design a spring and dashpot on which to mount the platform so that the platform will settle to a new equilibrium position 0.2 m below its original position as quickly as possible after the impact without overshooting. find the spring constant k and the damping constant b of the dashpot. be sure to examine your proposed solution x(f) to make sure that it satisfies the correct initial conditions and docs not overshoot. find, to two significant figures, the time required for the platform to settle within 1 mm of its final position.

16. a brave but inadequate rugby player is being pushed backward by an opposing player who is exerting a force of 800 n on him. the mass of the losing player plus equipment is 90.0 kg, and he is accelerating at 1.20m/s2 size 12{1 "." "20"" m/s" rsup { size 8{2} } } {} backward. (a) what is the force of friction between the losing player’s feet and the grass? (b) what force does the winning player exert on the ground to move forward if his mass plus equipment is 110 kg? (c) draw a sketch of the situation showing the system of interest used to solve each part. for this situation, draw a free-body diagram and write the net force equation.