An elevator weighs 400 N. When the upward tension in
the supporting cable is 4800 N, what is the upward
acceleration ? Starting from rest, how far does it rise in 3
seconds ?
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Answer:
given =
weight = 4000Kg ,upwards
tension = 4800 N
to find = upwards tension and distance travelled.
solution,
upwards tension in the supporting cable ,
T = 4800 N
downwards force due to the weight of the elavator,
W = 4000Kg
wt = 4000 X 9.8 N
= 39200N
net upwards force on the elavator
W - T = 39200 - 4800
= 8800N
now ,
acceleration = a = F/ m
= a = 8800 / 4000
a = 2.2 m/s²
now, distance covered by the elavator from rest ,
s = v t + at²
s = 1/2 X 2.2 X (3)²
s = 9.9m
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