** 18. Two blocks with the same mass of 500 g are connected to each other with a massless string and slowly lowered into a container of water (p 1 g/cm3). The system remains at rest as shown in the picture with B fully submerged and A with 3/4 of its volume under water. The vol- ume of block B is 200 cm3. [Hint: A free-body diagram for each of the blocks will be very useful.] a) Determine the buoyant force on block B. b) Determine the tension in the string. c) Determine the buoyant force on block A. d) If the string between the two blocks is cut, what will be the acceleration (magnitude and direction) of block B? B

A Volkswagen with mass m = 8.00 x 102kg is at rest as shown in the figure. Both pistons have a circular cross-sectional area. The small piston has a diameter of d1 = 0.25 m and the large piston has a diameter d2 = 4.5 m. Determine the magnitude of the forceexercised on the small piston.

Three liquids that will not mix are poured into a cylindrical container. The volumes and densities of the liquids are 0.45 L, 2.6 g/cm³; 0.20 L, 1.0 g/cm³; and 0.40 L, 0.65 g/cm³. What is the force on the bottom of the container due to these liquids? One liter = 1 L = 1000 cm³. (Ignore the contribution due to the atmosphere.) N

A large rectangular cube made of wood has the follow dimentions: a height, h = 2m, and an area od A = 0.25m^2. The wood that the cube is made of has a density of 800kg/m^3. The cube is then place vertically in water where it floats to rest. The density of the water is 1000kg/m^3. Then the cube is pushed down slightly (by a distance y) and released. The resulting motion is simple harmonic motion.    A) Determine the mass of the cube. B) Determine the depth,d, that the cube will float. C) If the cube is pushed further down under water by a distance, y, write an expression for the net force on the block in terms of: y,A,g,p. Where g=9.8m/s^2 D)Use the expression for the net forcee found in part C), and apply newton's second law (Fnet = ma) to the situation of the cube that is being pushed down slightly to derive an equation for the vertical accerlation (ay) (hint: dont forget to pick a positive direction)  Compare your results from part D) to the equation for simple harmonic motion using…