A box weighing 30 kg was pulled along an inclined platform of 4.5 m, height 1.5 m

A box weighing 30 kg was pulled along an inclined platform of 4.5 m, height 1.5 m, the friction force of the box was 20 n, determine the efficiency of the bridge.

Task data: l (length of the used slope) = 4.5 m; h (platform height) = 1.5 m; m (box weight) = 30 kg; Ffr (friction force acting on the box) = 20 N.

Constants: g (acceleration due to gravity) ≈ 10 m / s2.

To determine the efficiency of the used inclined platform, we apply the formula: η = Ap / Az = m * g * h / (m * g * h + Ftr * l).

Calculation: η = 30 * 10 * 1.5 / (30 * 10 * 1.5 + 20 * 4.5) = 450/540 = 0.833 or 83.3%.

Answer: The efficiency of the used ramp is 83.3%.