A block of mass M placed inside a box descends vertically with acceleration 'a'. The block exerts a force equal to one-fourth of its weight on the floor of the box.

The value of 'a' will be

Option 1 - <math> <mrow> <mfrac> <mrow> <mi>g</mi> </mrow> <mrow> <mn>4</mn> </mrow> </mfrac> </mrow> </math>

Option 2 - <math> <mrow> <mfrac> <mrow> <mi>g</mi> </mrow> <mrow> <mn>2</mn> </mrow> </mfrac> </mrow> </math>

Option 3 - <math> <mrow> <mfrac> <mrow> <mn>3</mn> <mi>g</mi> </mrow> <mrow> <mn>4</mn> </mrow> </mfrac> </mrow> </math>

Option 4 - g

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Vishal Baghel | Contributor-Level 10

4 months ago

Correct Option - 3

Detailed Solution:

According to Newton's law of motion, we can write

ma = mg – N = mg - $\frac{m g}{4} = \frac{3 m g}{4}$

$\Rightarrow a = \frac{3 g}{4}$

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Physics Laws of Motion 2025

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A block of mass M placed inside a box descends vertically with acceleration 'a'. The block exerts a force equal to one-fourth of its weight on the floor of the box. The value of 'a' will be

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