MHT CET 2025 22nd April Morning Shift | Work, Energy and Power Question 3 | Physics

A body of mass 1 kg begins to move under the action of a time dependent force $\overrightarrow{\mathrm{F}}=\left(\hat{\mathrm{t}}+2 t^2 \hat{\mathrm{j}}\right) \mathrm{N}$, where $\hat{i}$ and $\hat{j}$ are unit vectors along $x$ and $y$ axis. The power developed by above force at time $\mathrm{t}=3$ second will be

337.5 W

228.5 W

422.5 W

126.5 W

MHT CET 2025 19th April Evening Shift

MCQ (Single Correct Answer)

-0

A stone is projected with kinetic energy E, making an angle $\theta$ with the horizontal. When it reaches a highest point, its kinetic energy is

$\mathrm{E}^2 \sin ^2 \theta$

$\mathrm{E} \sin \theta$

$E \cos ^2 \theta$

$\mathrm{E} \cos \theta$

MHT CET 2025 19th April Morning Shift

MCQ (Single Correct Answer)

-0

A stone of mass 1 kg tied to a light inextensible string of length $L=\frac{5}{3} m$ is rotating in a circular path of radius $L$ in a vertical plane. If the ratio of maximum tension in the string to the minimum tension in the string is 3 , the speed of the stone at the highest point of the circle is ( $\mathrm{g}=$ acceleration due to gravity)

$\sqrt{\mathrm{gL}}$

$\sqrt{2 \mathrm{gL}}$

$\sqrt{4 \mathrm{gL}}$

$\sqrt{8 \mathrm{gL}}$

MHT CET 2024 16th May Morning Shift

MCQ (Single Correct Answer)

-0

The power $(\mathrm{P})$ is supplied to a rotating body having moment of inertia ' I ' and angular acceleration ' $\alpha$ '. Its instantaneous angular velocity ' $\omega$ ' is

$\mathrm{P}(\mathrm{I} \alpha)^{-1}$

$\mathrm{P}^{-1}(\mathrm{I} \alpha)^{-1}$

$P \alpha^{-1} \mathrm{I}$

$\mathrm{PIa}$

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