A body of 2 kg mass slides down with an acceleration of $4 \mathrm{~ms}^{-2}$ on an inclined plane having…

A body of 2 kg mass slides down with an acceleration of $4 \mathrm{~ms}^{-2}$ on an inclined plane having slope of $30^{\circ}$. The external force required to take the same body up the plane with same acceleration will be (Acceleration due to gravity $=10 \mathrm{~ms}^{-2}$ )
  1. 8 N
  2. 16 N
  3. 22 N
  4. 20 N

Solution


$\begin{aligned} & \mathrm{m}=2 \mathrm{~kg}, \mathrm{a}=4 \mathrm{~m} / \mathrm{s}^2 \\ & \therefore \quad 10-\mathrm{f}=2 \times 4 \\ & \therefore \quad \mathrm{f}=2 \mathrm{~N} \end{aligned}$
When the body goes up the inclined plane $\begin{aligned} & \therefore \quad \mathrm{F}-10-2=2 \times 4 \\ & \therefore \quad \mathrm{~F}=20 \mathrm{~N} \end{aligned}$

Asked in: AP EAMCET 2024 (22 May Shift 2)

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