This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.
ScanSolve AI Answer
Let's solve this problem step-by-step. Step 1: Identify the given values. Radius of the wheel (R) = 80 cm Radius of the axle (r) = 10 cm Efficiency (η) = 0.85 Applied force (Effort, E) = 1200 N Step 2: Calculate the Velocity Ratio (VR) of the wheel and axle. The formula for the Velocity Ratio of a wheel and axle is: VR = (Radius of wheel) / (Radius of axle) VR = R / r VR = 80 cm / 10 cm VR = 8 Step 3: Calculate the Mechanical Advantage (MA) using the efficiency. The formula for efficiency is: η = MA / VR We can rearrange this to solve for MA: MA = η × VR MA = 0.85 × 8 MA = 6.8 Step 4: Calculate the Load (L) that can be raised. The formula for Mechanical Advantage is: MA = Load / Effort MA = L / E We can rearrange this to solve for L: L = MA × E L = 6.8 × 1200 N L = 8160 N An applied force of 1200 N to the wheel will raise a load of 8160 N.