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PhysicsW.E.P.Conservative force & potential energyMedium2 minPYQ_2010

PhysicsMediumsingle choice

The potential energy for a force field $F$ is given by $U (x, y) = cos (x + y)$ . The force acting on a particle at position given by coordinates $(0, π /4)$ is $-$

Options:

Answer:

Solution:

$F_{x} = - \frac{\partial U}{\partial x} = sin (x + y)$ $F_{y} = - \frac{\partial U}{\partial x} = sin (x + y) F_{x} = sin (x + y)]_{(0, π /4)} = \frac{1}{2} F_{y} = sin (x + y)]_{(0, π /4)} = \frac{1}{2} ∴ F = \frac{1}{2} [\hat{i} + \hat{j}]$

Stream:BITSATSubject:PhysicsTopic:W.E.P.Subtopic:Conservative force & potential energy

⏱ 2mℹ️ Source: PYQ_2010

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