A semicircular plate with radius 5 m is submerged vertically in water so that the top is 2 m above the surface. Express the hydrostatic force against one side of the plate as an integral and evaluate it. (Round your answer to the nearest whole number. Use 9.8 m/s? for the acceleration due to gravity. Recall that the mass density of water is 1000 kg/m3.) 5 2pg / 2 v ( (x2)V 25 x Need Help? [Readi J [ wateni Submit Answer v )dxz 23 3. [2/3 Points] DETAILS PREVIOUS ANSWERS An equilateral triangular plate with sides 10 m is submerged vertically in water so that the base is even with the surface. Express the hydrostatic force against one side of the plate as X N MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER an integral (let the positive direction be downwards) and evaluate it. (Round your answer to the nearest whole number. Use 9.8 m/s? for the acceleration due to gravity. Recall that the maa density of water is 1000 kg/m3.) 5v3 s 0 v ( i 2 1 i S 0 x | v )dx 23 A swimming pool is 50 ft wide and 100 ft long and its bottom is an inclined plane, the shallow end having a depth of 4 ft and the deep end, 7 ft. Assume the pool is full of water. (Round your answers to the nearest whole number. Recall that the weight density of water is 62.5 Ib/ft3.) (a) Estimate the hydrostatic force on the shallow end. Ib (b) Estimate the hydrostatic force on the deep end. Ib (c) Estimate the hydrostatic force on one of the sides. b (d) Estimate the hydrostatic force on the bottom of the pool. Ib Submit Answer 6. [-/3 Points] DETAILS MY NOTES ASK YOUR TEACHER PRACTICE ANOTHE The masses m; are located at the points P;. Find the moments M, and M, and the center of mass of the system. my=2,my=1m3=7; P1(2, =5), Py(=3, 3), P3(3, 5) = xI