A man weighing 16 pounds stand on the floor of an elevator. What force will be exerted on its floor when it (i)Descend with a uniform acceleration of 1 ft/sec2? (ii)Ascends with a uniform acceleration of 1 ft/sec2?
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Answer:
I) f=ma 16*1 =-16 2)16*1=+16
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g=32.15ft/s²
1)
As the lift is descending with an acceleration 1ft/s²
So net gravitational acceleration acting on the body is =(32.15+1)ft/s²
=33.15ft/s²
Therefore...force exerted=(16×33.15)lb.ft/sec²=530.4
2)
As the lift is ascending with an acceleration 1ft/s²
So net gravitational acceleration acting on the body is =(32.15-1)ft/s²
=31.15ft/s²
Therefore...force exerted=(16×31.15)lb.ft/sec²=498.4
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