A hollow plastic sphere is held below the surface of a freshwater lake by a cord anchored to the bottom of the lake. The sphere has a volume of 0.650 m3 and the tension in the cord is 1120 N. (a) Calculate the buoyant force exerted by the water on the sphere. (b) What is the mass of the sphere? (c) The cord breaks and the sphere rises to the surface. When the sphere comes to rest, what fraction of its volume will be submerged?

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…

The gravitational force exerted on a solid object is 5 N. When the object is suspended from a spring scale and submerged in water, the scale reads 3.5 N. Find the density of the object.

A block of wood has a mass of 3.71 kg and a density of 515 kg/m3. It is to be loaded with lead (1.13 × 104 kg/m3) so that it will float in water with 0.803 of its volume submerged. What mass of lead is needed if the lead is attached to (a) the top of the wood and (b) the bottom of the wood? (a) Number Type your answer for part (a) here Units Choose your answer for part (a) here                                                            (b) Number Type your answer for part (b) here Units Choose your answer for part (b) here