Question:

Physics: Length of Staircase?

by Guest65371  |  earlier

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Okay, so this Physics problem should be really simple but I keep getting it wrong on my online homework. I'm hoping someone out there can find where I'm making a mistake.

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A standard interior staircase has steps each with a rise (height) of 16 cm and a run (horizontal depth) of 19 cm. Research suggests that the stairs would be safer for descent if the run were, instead, 25 cm. For a particular staircase of total height 4.64 m, how much farther (in m) would the staircase extend into the room at the foot of the stairs if this change in run were made?

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I simply divided 464 cm by 16 cm and got 29 steps. 25 inches - 19 inches = 6 added inches to each step's depth. 29*6=174 cm or 1.74 meters extension of the staircase. What am I not seeing?

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  1. The 29th step will be the floor, so it will extend 168 cm.

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