Final answer:
To find the radius of piston B, apply Pascal's Law to relate the forces and areas of piston A and B, then calculate using pressure and the car's weight.
Step-by-step explanation:
To calculate the radius of piston B given the weight of a car and forces applied on different pistons, we need to apply the principles of Pascal's Law which states that pressure applied at any point on a confined incompressible fluid is transmitted undiminished throughout the fluid. Given the force F1 applied on piston A with diameter d1, we can calculate the pressure P using the formula P = F1 / A1, where A1 is the area of piston A. To find the force F2 on piston B (which is supporting the weight of the car), we use the equation F2 = P × A2, where A2 is the area of piston B. Since the weight of the car is given as 10,000 N, this is equal to the force F2. The area A2 can be found from the radius r2 using the formula A2 = π × r2^2, and the radius can be then calculated by rearranging the equation and solving for r2.