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Question

A particle moves in one dimensional field with total mechanical energy E. If potential energy of particle is U left parenthesis x right parenthesis, then

  1. Particle has zero speed where U left parenthesis x right parenthesis equals E    
  2. Particle has zero acceleration where U left parenthesis x right parenthesis equals E    
  3. Particle has zero velocity where fraction numerator d U left parenthesis x right parenthesis over denominator d x end fraction equals 0    
  4. Particle has zero acceleration where fraction numerator d U left parenthesis x right parenthesis over denominator d x end fraction equals 0    

The correct answer is: Particle has zero velocity where fraction numerator d U left parenthesis x right parenthesis over denominator d x end fraction equals 0

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STATEMENT-1 : A fixed wedge of inclination theta lies on horizontal table. x and y axes are drawn on inclined surface as shown, such that x axis is horizontal and y-axis is along line of greatest slope. A block of mass m is placed (at rest) on inclined surface at origin. The coefficient of friction between block and wedge is mu, such that t a n invisible function application theta equals mu. Then a force F greater than mu m g blank c o s invisible function application theta applied to block parallel to inclined surface and along x-axis can move the block along x-axis

STATEMENT-2 : To move the block placed at rest on rough inclined surface along the inclined surface, the net force on block (except frictional force) should be greater than mu N. (N = normal reaction on block).

STATEMENT-1 : A fixed wedge of inclination theta lies on horizontal table. x and y axes are drawn on inclined surface as shown, such that x axis is horizontal and y-axis is along line of greatest slope. A block of mass m is placed (at rest) on inclined surface at origin. The coefficient of friction between block and wedge is mu, such that t a n invisible function application theta equals mu. Then a force F greater than mu m g blank c o s invisible function application theta applied to block parallel to inclined surface and along x-axis can move the block along x-axis

STATEMENT-2 : To move the block placed at rest on rough inclined surface along the inclined surface, the net force on block (except frictional force) should be greater than mu N. (N = normal reaction on block).

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