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A 29 kg man stands on a springscale in an elevator. Starting from rest, the elev

ID: 1737710 • Letter: A

Question

A 29 kg man stands on a springscale in an elevator. Starting from rest, the elevator ascends,attaining its maximum speed of 1.4 m/s in 1.14 s. It travels with thisconstant speed for the next 5.6 s, undergoes a uniformnegative acceleration for 1.74 s, and comes to rest. Theacceleration of gravity is 9.8 m/s2.   What doesthe spring scale register during the negative acceleration? Answerin units of N. A 29 kg man stands on a springscale in an elevator. Starting from rest, the elevator ascends,attaining its maximum speed of 1.4 m/s in 1.14 s. It travels with thisconstant speed for the next 5.6 s, undergoes a uniformnegative acceleration for 1.74 s, and comes to rest. Theacceleration of gravity is 9.8 m/s2.   What doesthe spring scale register during the negative acceleration? Answerin units of N.

Explanation / Answer

mass og the man m = 29 kg During decelaration of the motion : ----------------------------------- Initial speed u = 1.4 m / s Final speed v = 0 m / s time t = 1.74 s So , deceleration a = ( v - u ) / t                             = -0.804 m / s 2 Scale reading in this case is R = m g + ma                                               = 260.86 N Scale reading in this case is R = m g + ma                                               = 260.86 N
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