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 65144 N/m for the area likely to be impacted by the stuntman, but it cannot depress more than 14.65 cm without injuring him. To approach this problem, consider a simplified version of the situation. A mass falls through a height of 4.12 m before landing on a spring of force constant 65144 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 no yes

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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 65144 N/m for the area likely to be impacted by the stuntman, but it cannot depress
more than 14.65 cm without injuring him.
To approach this problem, consider a simplified version of the situation. A mass falls through a height of 4.12 m before landing
on a spring of force constant 65144 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?
cannot determine
no
yes
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.
Transcribed Image Text: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 65144 N/m for the area likely to be impacted by the stuntman, but it cannot depress more than 14.65 cm without injuring him. To approach this problem, consider a simplified version of the situation. A mass falls through a height of 4.12 m before landing on a spring of force constant 65144 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? cannot determine no yes 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.
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