Question #152374

Students study the sliding of a wooden block on an inclined plane using ultrasonic radar. The inclination of the plane was adjusted so that the block slid at a constant speed. The slope angle was then 21º. The mass of the block was 275 g. Calculate the amount of friction as the block slid smoothly.

Expert's answer

The force of friction is


f=μN,f=\mu N,

where normal force is


N=mg cos21°,N=mg\text{ cos}21°,

and the coefficient of friction is


μ=tan21°.f=tan21°mg cos21°=0.966 N.\mu=\text{tan}21°.\\ f=\text{tan}21°\cdot mg\text{ cos}21°=0.966\text{ N}.


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