Question

Help please with finding the force to push a block up an incline with a constant acceleration.

Answer 1

a 5.67 kg block sits on a ramp that is inclined at 37 degree above the horizontal. the coefficient of kinetic friction between the box and the ramp is 0.27, what horizontal force is required to move the box up the incline with a constant acceleration of 4.1 m/s^2?

Answer 2

\[n-mgcos(37)=0\]\[n=(5.67)(9.8)\cos(37)=44.3769\approx44.4\]and for F\[F-f_k-mgsin(37)=ma\]\[F=(5.67)(4.1)+12+(5.67)(9.8)\sin(37)=68.687\approx68.7\]