A1,040 N crate is being pushed across a level floor at a constant speed by a fre

Question

A1,040 N crate is being pushed across a level floor at a constant speed by a free Fof210Nat anangle of 20.0. below the hotzontal, as shown in the figure (a) below. 20.0 (a) What is the coefficient of kinetic friction between the crate and the floor? (b) If the 210-N force is instead pulling the block at an angle of 20.0° above the horirontal, as shown in the fgure (b), what wil be the acceleration of the crace? Assume bhat he friction is the same as that found in part (a) Need Help?Tutr .340, what mnmum force Fmust be appled to the crate perpendiculer to the indine s The coefficient prevent the crate from siding down the incline? of static friction between the m - 3.55-kg crate and the 35.o incine of the fyg of static frice

Explanation / Answer

a] Since the speed is constant, acceleration is zero hence the net force on the crate in the horizontal direction is zero.

=> Fcos20 - ukR = 0

=> 210cos20 = uk[210sin20 + 1040]

=> uk = 0.1775

this is the coefficient of kinetic friction between the crate and the ground.

b]

Fcos20 - ukR = 0

=> 210cos20 = uk[1040 - 210sin20]

=> uk = 0.2038.

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