Ascene in a movie has a stuntman falling through a floor onto a bed in the room below. the plan is to have the actor fall on his back, but a researcher has been hired to investigate the safety of this stunt. when the researcher examines the mattress, she sees that it effectively has a spring constant of 65144 n/m65144 n/m for the area likely to be impacted by the stuntman, but it cannot depress more than 11.57 cm11.57 cm without injuring him. to approach this problem, consider a simplified version of the situation. a mass falls through a height of 3.92 m3.92 m before landing on a spring of force constant 65144 n/m.65144 n/m. calculate the maximum mass that can fall on the mattress without exceeding the maximum compression distance.