A spring balance is attached to the ceiling of a lift. A man hangs his bag on the spring and the spring…

A spring balance is attached to the ceiling of a lift. A man hangs his bag on the spring and the spring reads 49 $\mathrm{N}$, when the lift is stationary. If the lift moves downward with an acceleration of $5 \mathrm{~m} / \mathrm{s}^2$, the reading of the spring balance will be
  1. $24 \mathrm{~N}$
  2. $74 \mathrm{~N}$
  3. $15 \mathrm{~N}$
  4. $49 \mathrm{~N}$

Solution

Mass $=\frac{49}{9.8}=5 \mathrm{~kg}$. When lift is moving downward, apparent weight $=5(9.8-5)=5 \times 4.8=24 \mathrm{~N}$

Asked in: JEE Main 2003

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