A block of mass 50kg is projected horizontally on a rough horizontal floor.The coefficient of friction between the block and floor is 0.1The block strike a light spring of stiffness k =100N/m with a velocity 2m/s.Find the maximum compression of spring.

Question

Aditya · Answer

Ans is 1 mApply work energy theorem by equating work done by frictional force and spring force to change in kinetic energy. Take distance covered=compression in spring=x . You will get a quadratic eqn in x i.e x²+x-2=0 and thus you will get your ans i.e 1mAditya GuptaJEE aspirantAll the Best

Apurv Kumar Jha · Answer

By applying Work Energy Theorem on the block we get Work by frictional force + Work by Spring force=kinetic energy final-initial It comes out as 50x+1/2*100x^2 = 1/2*50*2^2-0 Now it comes out as x^2+x-2=0 Therefore x=1 m ,where x is the compression in spring. Apurv Kumar Jha JEE Advanced Aspirant

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A block of mass 50kg is projected horizontally on a rough horizontal floor.The coefficient of friction between the block and floor is 0.1The block strike a light spring of stiffness k =100N/m with a velocity 2m/s.Find the maximum compression of spring.

A block of mass 50kg is projected horizontally on a rough horizontal floor.The coefficient of friction between the block and floor is 0.1The block strike a light spring of stiffness k =100N/m with a velocity 2m/s.Find the maximum compression of spring.

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A block of mass 50kg is projected horizontally on a rough horizontal floor.The coefficient of friction between the block and floor is 0.1The block strike a light spring of stiffness k =100N/m with a velocity 2m/s.Find the maximum compression of spring.

A block of mass 50kg is projected horizontally on a rough horizontal floor.The coefficient of friction between the block and floor is 0.1The block strike a light spring of stiffness k =100N/m with a velocity 2m/s.Find the maximum compression of spring.

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