$A$ rough inclined plane is placed on a car moving with a constant velocity $u$ on horizontal ground. $A$ block of mass $M$ rests on the inclined plane. Is any work done by the force of friction between the block and the inclined plane? Is there any dissipation of energy?
(N/A) Yes,there is a static friction force $f$ acting on the block.
Since the block is at rest relative to the inclined plane,the force of friction is given by $f = Mg \sin \theta$.
Work done by a force is defined as $W = \vec{F} \cdot \vec{d}$. Since the block is not in motion relative to the inclined plane (displacement $d = 0$),the work done by the friction force is zero.
Because the work done is zero and there is no relative motion between the surfaces,there is no dissipation of energy.
Since the block is at rest relative to the inclined plane,the force of friction is given by $f = Mg \sin \theta$.
Work done by a force is defined as $W = \vec{F} \cdot \vec{d}$. Since the block is not in motion relative to the inclined plane (displacement $d = 0$),the work done by the friction force is zero.
Because the work done is zero and there is no relative motion between the surfaces,there is no dissipation of energy.
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