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Question

# A block of weight 200N is pulled along a rough horizontal surface at constant speed by a force 100N acting at an angle 300 above the horizontal. The coefficient of friction between the block and the surface is:

A
0.43
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B
0.58
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C
0.75
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D
0.85
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Solution

## The correct option is D 0.58According to question,As shown in below figureSo,The force on the block long the horizontal is Fx=100cos30−f⋯(i)f=μ×N⋯(ii)and also,200=N+100sin30N=150NNow,substituting the above value in (ii)f=150×μsubstituting the value of ′f′ in (i)Fx=100cos30−150×μHence, the block moves with the constant velocity it means that there is no net force acting on it is horizontal direction,Fx=0100cos30−150×μ=086.6025=150×μμ=0.57735

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