A 200 kg granite stone (density of the stone is 2700 kg/m3) is dropped into a lake (water density 1000 kg/m3). A man dives down to lift it up. a) Draw a free body diagram b) Find the force needed to lift it up? Can a diver make it?

Problem 2Given: A graduated cylinder filled with water. A cube is dropped into the cylinder and the water rises. See Figure 2. The cube is only partially submerged. The length of a side of the cube is 3.7 cm. Assume the specific weight of water is 9.81 kN/m3Required:a) What is the submerged volume of the cube in cm3?b) What is the weight of the cube in Newtons?c) What is the specific weight of the cube in kN/m2? Is it less than specific weight of water?

A curious astronaut took her bathroom scale (a spring scale) and a beam scale (compares masses) to the moon. On Earth, she determined that her mass was 124 lbm. The gravitational acceleration on the moon is a = 5.3 ft/s2. When she reaches the moon: a.) What will she weigh on the spring scale? b.) What will the beam scale indicate for her mass?

The bottom corner of a water tank that is 3 m wide (into the page) is constructed with a flat panel at an angle of 45° as shown in the figure below. The panel in question is shown as a heavy line. Note that water has a density of 1000 kg/m3. Determine:  2a) The magnitude of the total resultant force acting on the panel, FR 2b) The depth of below the water surface at which the resultant force vector acts on the panel, d

8) A) A rectangular plate with dimensions 3m x 5m is submerged horizontally in a pool of water. Find the fluid Force on one side of the plate if it is 2m below the water's surface. Ans: 147000 J b) Find the Force on one side of the plate if it is submerged vertically and the edge of the plate is 2m below the surface. Ans: 661500J 9) Find the COM of the region under f(x)= 6-2x, [0, 3] Ans: (1, 2)

A triangular window, with its top edge horizontal, is built in the side of a water tank. The window is 16 m tall, 8 m wide at the top, and can hold back 40 kN of force. Water is added to the tank until the window is about to burst. If the density of water is 1000 kg/m³ and we approximate the gravitational constant as 10 m/s“, how high is the water above the bottom corner? ) 3.63 m (B) 3.17 m (C) 2.88 m (D) Insufficient Information (E) 2.52 m

1. Task In the side wall of the closed tank with water (p=1000 kg/m³), there is a circular opening that is closed by a conical closure of negligible weight. The shutter is opened by force F, via a lever of negligible mass and rotating around the axis O. The vessel wall is inclined to the horizontal at an angle of 45°. a) Determine the minimum value of the force F required to open the shutter, b) pressure force on the wetted surface perpendicular to the axis of symmetry of the closure, if the following data are given: vacuum meter height h-1m, H=4 m, a=1 m, b=2 m, R=h=100 mm. 2. Task A prismatic body with a square section of length L, made of two types of wood, shown in the picture, floats freely on water with a density of 1000 kg/m³. Wood densities are: p₁-850 kg/m³, and p₂-450 kg/m³. Page a=1 m and L=10 cm. Need to determine the type of swimming stability? Sketch the positions of characteristic points that determine stability when swimming! A 15 K

please solve and explain part C deeply  so I can understand

2) The tank in the figure shown has a 4-cm diamter plug which will pop out if the hydrostatic force on it reaches 30N. Use Unit Weight of water = 9790 N/m? a) What will be the maximum value of H? b) What will be the reading "h" on the mercury(sg=13.6) manometer? Water H 50° 4-cm dia.plug h 3 сm

A spherical drum, 80 cm in diameter, is filled with fluid whose density is 6.4 x 10-4 kg/cm3. Determine: a.) the total volume of the fluid in m3; b.) its total mass in kg; c.) its specific volume; d.) its specific weight if g = 9.75 m/s2.