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TS EAMCET · Physics · Work Power Energy

A horizontal force \(\mathbf{F}=\left(g-x^2\right) \hat{\mathbf{i}} \mathrm{N}\) acts on a wooden block resting on a horizontal smooth surface. The work done to move the block from \(x=0\) to \(x=3 \mathrm{~m}\) (in \(\mathrm{J}\) ) is (Use \(g=10 \mathrm{~m} / \mathrm{s}^2\) )

  1. A 24
  2. B 35
  3. C 30
  4. D 21
Verified Solution

Answer & Solution

Correct Answer

(D) 21

Step-by-step Solution

Detailed explanation

Given that, force acting on wooden block \[ \mathbf{F}=\left(g-x^2\right) \hat{\mathbf{i}} \mathrm{N} \] Displacement, \(d \mathbf{x}=d x \hat{\mathbf{i}}\) Work done by \(\mathbf{F}\) for displacement from \(x=0\) to \(x=3 \mathrm{~m}\)…