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Weight and Mass

Actual weight...

Question

Actual weight of a man is 600N and in a lift the reading of the weighing machine is 900N, the acceleration of the lift is? (acceleration due to gravity, $(g = 10 m s^{- 2})$

A

\frac{g}{2}

in upward direction

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B

g

in upward direction

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C

\frac{g}{2}

in downward direction

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D

g

in downward direction

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Solution

The correct option is A $\frac{g}{2}$ in upward direction
Apparent weight of the man is greater than his actual weight so lift is going upward.
Mass = Actual weight / g = 600 /10 = 60 kg
Apparent weight , $W = m (g + a)$
$900 = 60 (10 + a)$
$a = 5 m s^{- 2}$
$a = \frac{g}{2} m s^{- 2}$

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