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5.work,energy,power and collision — Physics STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 SciencePhysics5.work,energy,power and collision1 Mark
MCQ
A block of mass $M$ is kept on a platform which starts accelerating upwards from rest with a constant acceleration $a$ . During the time interval $T$ the work done by contact force on mass $M$ is
  • A
    $\frac {1}{2}\,Ma^2T^2$
  • B
    zero
  • ✓
    $\frac {1}{2}\,M(g+a)aT^2$
  • D
    $-MgaT^2$
✓

Answer

Correct option: C.
$\frac {1}{2}\,M(g+a)aT^2$
c
$\mathrm{W}=\overrightarrow{\mathrm{F}} \cdot \overrightarrow{\mathrm{S}}$

$\mathrm{W}=\mathrm{R} \cdot \mathrm{S} \cdot \cos 0^{\circ}$

$=\mathrm{M}(\mathrm{g}+\mathrm{a}) \times \mathrm{S} \times 1$

$=\mathrm{M}(\mathrm{g}+\mathrm{a}) \times\left(\frac{1}{2} \mathrm{aT}^{2}\right)$

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