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
Here are the answers to the remaining questions: Assumption: The areas of the pistons for question 2.4 are A_A = 10 \, cm^2 and A_B = 50 \, cm^2, as provided in the full context of question 2.4 from the previous image. 2.4.3 Calculate the maximum force that is exerted on the load by piston B. Step 1: State the given values. Input force F_A = 100 \, N Area of piston A A_A = 10 \, cm^2 Area of piston B A_B = 50 \, cm^2 Step 2: Apply Pascal's principle. Pressure is transmitted equally throughout the fluid: P_A = P_B (F_A)/(A_A) = (F_B)/(A_B) Step 3: Solve for the output force F_B. F_B = F_A × (A_B)/(A_A) F_B = 100 \, N × 50 \, cm^210 \, cm^2 F_B = 100 \, N × 5 F_B = 500 \, N The maximum force exerted on the load by piston B is 500 N. 2.4.4 Calculate the distance travelled by piston B. Step 1: State the known values. Input force F_A = 100 \, N Input distance d_A = 10 \, cm Output force F_B = 500 \, N (from 2.4.3) Step 2: Apply the principle of work done (Work input = Work output). W_A = W_B F_A × d_A = F_B × d_B Step 3: Solve for the output distance d_B. d_B = (F_A × d_A)/(F_B) d_B = 100 \, N × 10 \, cm500 \, N d_B = 1000 \, N · cm500 \, N d_B = 2 \, cm The distance travelled by piston B is 2 cm. 2.4.5 Calculate the mechanical advantage of the system. Step 1: State the known values. Input force F_A = 100 \, N Output force F_B = 500 \, N (from 2.4.3) Area of piston A A_A = 10 \, cm^2 Area of piston B A_B = 50 \, cm^2 Step 2: Calculate mechanical advantage (MA) using forces or areas. MA = Output ForceInput Force = (F_B)/(F_A) MA = 500 \, N100 \, N MA = 5 Alternatively, using areas: MA = Area of Output PistonArea of Input Piston = (A_B)/(A_A) MA = 50 \, cm^210 \, cm^2 MA = 5 The mechanical advantage of the system is 5. 2.5 Name the type of mechanical advantage that is achieved when a small syringe drives a larger syringe. The type of mechanical advantage achieved is force multiplication. Last free one today — make it count tomorrow, or type /upgrade for unlimited.