a man standing in a lift which goes up up and comes down with the same constant acceleration. if the ratio of the apparent weights in the two cases is 1:2 then that acceleration of the lift is
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Suppose acceleration of lift is 'a' .
•Weight of man when lift is accelerating up ( say W) :
W= m(g+a)
where 'm' is the mass of man and 'g' is the acceleration due to gravity .
•Weight of man during lift is accelerating downwards ( say w) :
w = m(g-a)
__________
Now given,
w/W = 1/2
using values of w and W in above equation ,
(g-a)/(g+a) = 1/2
=> 2g - 2a = g +a
=> a= g/3 .
_________
hope it helps !
•Weight of man when lift is accelerating up ( say W) :
W= m(g+a)
where 'm' is the mass of man and 'g' is the acceleration due to gravity .
•Weight of man during lift is accelerating downwards ( say w) :
w = m(g-a)
__________
Now given,
w/W = 1/2
using values of w and W in above equation ,
(g-a)/(g+a) = 1/2
=> 2g - 2a = g +a
=> a= g/3 .
_________
hope it helps !
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