See image for better view of question: A scene 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 77144N/m77144N/m for the area likely to be impacted by the stuntman, but it cannot depress more than 12.67cm12.67cm without injuringhim.

To approach this problem, consider a simplified version of the situation. A mass falls through a height of 3.52m3.52m before landing on a spring of force constant 77144N/m.77144N/m. Calculate the maximum mass that can fall on the mattress without exceeding the maximum compressiondistance.

1) maximum mass:

2) Based on this crude measurement, is the stunt safe using the proposedmattress? cannot determine

yes

no

Warning: The safety of movie stunts is now heavily researched and involves more sophisticated computations than used here. Do not attempt stunts on yourown.

A scene 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 77144 N/m for the area likely to be impacted by the stuntman, but it cannot depress more than 12.67 cm without injuring him. To approach this problem, consider a simplified version of the situation. A mass falls through a height of 3.52 m before landing on a spring of force constant 77144 N/m. Calculate the maximum mass that can fall on the mattress without exceeding the maximum compression distance. Based on this crude measurement, is the stunt safe using maximum mass: kg the proposed mattress? O cannot determine O yes O no Warning: The safety of movie stunts is now heavily researched and involves more sophisticated computations than used here. Do not attempt stunts on your own