A man is standing on a weighing machine placed in a lift. When stationary his weight is recorded as 40 kg. If the
lift is accelerated upwards with an acceleration of 2 m/s^2, then the weight recorded in the machine will be
(g=10m/s^2)
(a) 32 kg
(C) 42 kg
(b) 40 kg
(d) 48 kg
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Answer:
The answer will be 48 kg
Explanation:
According to the problem the at stationary the weight of the man is 40 kg .
The acceleration of the lift is 2 m/s^2
Now when the lift is at stationary position its upward acceleration is zero.
At this position the force ,f = mg
When the lift started going upward with acceleration of 2 m/s^2
then, f-mg = ma
Now when the lift is at stationary position the weight of the man is m =40 kg which is the actual weight
Therefore the normal force, f = m(g+a)= 40(10+2)= 480 N
Now we have to find the weight to be stored,
m = f/g = 480/10 = 48 kg
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