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A movie has a stunt person falling through a floor onto a bed in the room below. The plan is to have the actor

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A movie has a stunt person falling through a floor onto a bed in the room below. The plan is to have the actor fall on their back, but a physicist has been hired to investigate the safety of this stunt. When the physicist examines the mattress, she sees that it effectively has a spring constant of 77145 N/m for the area likely to be impacted by the stuntperson, but it cannot depress more than 14.65 cm without injuring them. To approach this problem, consider a simplified version of the situation. A mass falls through a height of 3.75 m before landing on a spring of force constant 77145 N/m. Calculate the maximum mass that can fall on the mattress without exceeding the maximum compression distance.

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