Answer:
345.60N
Explanation:
The magnitude of the force parallel to the ramp that will push the box up the ramp are the frictional force(Ff) and the moving force Fm
Total force = Ff + Fm
Ff = ηR
Ff = ηmgcosθ
Fm = Wsinθ
Fm = mgsinθ
Total force = ηmgcosθ + mgsinθ
Total force = mg(ηcosθ + sinθ)
Given
mass m = 71kg
acceleration due to gravity g = 9.8m/s²
angle of inclination θ = 16°
coefficient of friction η = 0.23
Substitute into the formula;
Total force = 71(9.8)(0.23cos16 + sin16)
Total force = 695.8(0.2211+0.2756)
Total force = 695.8(0.4967)
Total force = 345.60N
Hence the magnitude force parallel to the ramp that you should push on the box so that it moves up the ramp at a constant speed is 345.60N
