A body whose true weight is 14 kg appears to weigh 14
kg when weighed with the help of a spring balance in a
moving lift. The acceleration of the lift at the time was
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Explanation:
1)
m = mass of the body hanged from spring balance = 15 kg
W = actual weight of the body hanged in downward direction = mg = 15 x 9.8 = 147 N
a = acceleration of the lift in upward direction = 2 m/s²
F = reading of the spring balance
force equation for the motion of the body hanged in the lift is given as
F - W = ma
F - 147 = 15 (2)
F = 177 N
2)
a = acceleration of the lift in downward direction = 2 m/s²
force equation for the motion of the body hanged in the lift is given as
W - F = ma
147 - F = 15 x 2
F = 117 N
3)
Since the lift is going at constant velocity
a = acceleration of the lift = 0 m/s²
W - F = 0
F = W
F = 147 N
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