A man weighing 160 lb stands on the floor of an elevator. What force will be exerted on floor if it (i) descends with a uniform acceleration of 1 ft/sec 2 (pi) ascends with a uniform acceleration of 1 ft/sec 2

Respuesta :

Answer:

(a) When elevator descends weight will be 155.026 lb

(b) When elevator ascends weight will be 164.954 lb    

Explanation:

It is given weight of man on the floor of elevator F = 160 lb

Acceleration due to gravity [tex]g=32.17ft/sec^2[/tex]

At the floor of elevator weight is equal to [tex]W=mg[/tex]

So [tex]160=m\times 32.17[/tex]

m = [tex]4.973lbsec^2/ft[/tex]

(ii) When the elevator descends with uniform acceleration [tex]1ft/sec^2[/tex]

Weight will be equal to   [tex]W=m(g+a)=4.973\times (32.17+1)=155.026lb[/tex]

(ii) When elevator is moving upward

Weight is equal to [tex]W=m(g+a)=4.973\times (32.17+1)=164.954lb[/tex]