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Physics - W.E.P. Question with Solution | TestHub

PhysicsW.E.P.MiscellaneousEasy2 minPYQ_2020

PhysicsEasysingle choice

The potential energy of a body of mass $m$ is $U = a x + b y$ . The magnitude of the acceleration of the body will be

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Answer:

Solution:

We know that $U = a x + b y$

$\frac{\partial U}{\partial x} = \frac{\partial}{\partial x} (a x + b y)$

$\frac{\partial U}{\partial x} = a$

$\frac{\partial U}{\partial y} = \frac{\partial}{\partial y} (a x + b y)$

$\frac{\partial U}{\partial y} = b$

$\vec{F} = (\frac{\partial U}{\partial x} \hat{i} + \frac{\partial U}{\partial y} \hat{j})$

$\vec{F} = - a \hat{i} - b \hat{j}$

$F = \sqrt{a^{2} + b^{2}}$

Stream:NTA_ABHYAS_NEETSubject:PhysicsTopic:W.E.P.Subtopic:Miscellaneous

⏱ 2mℹ️ Source: PYQ_2020

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