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## Homework Statement

Burglars are pushing, with a horizontal force Fpush, a safe of mass m and coefficient of kinetic friction μk up a slope of angle θ. What is the safe's acceleration (in abstract terms)?

## Homework Equations

a

_{s= +/-gsinθ (natural accl down a slope) friction on a slope= μmgcosθ The Attempt at a Solution Fnet= Force up the slope- natural accl down - kinetic friction Fnet= Fcosθ - mgsinθ - μmgcosθ ma= Fcosθ - mgsinθ - μmgcosθ a= Fcosθ/m - gsinθ - μgcosθ I thought this was right but we have numbers to plug in to check for correctness: fpush= 4000N m= 500kg θ= 20° coeff of kf= 0.20 and acceleration is supposed to be 1.777 m/s2 I can't seem to arrive at this answer. Homework Statement Homework Equations The Attempt at a Solution}