Q2: calculate the percentage of the cylinder(m=2kg) that floats in the water tank shown below if the force exerted down by the piston is 5 N. The cylinder volume is 3.5 x 10-3m3 oflinder Water tank

A tank holds water (density of 995.7 kg/m3) with a triangular gate located at the bottom right. The gate is an isosceles triangle with a base/width of 0.7 m and a height of 1.4 m. What force (F) applied at the gate's centroid is needed to keep the gate closed? The height from the water surface to the gate centroid is given by h = 4.9 m. Please note that the side view of the gate is shown and that the force is applied at the gate's centroid, although not accurately drawn.

A square plate is submerged in water as shown below. Set up an integral to find thehydrostatic force against one side of the plate. (Use the fact that the weight density ofwater is 62.5 lb/ft3, and that pressure,P=δd) DO NOT EVALUATE THE INTEGRAL.

A plane is fitted with pontoons for operation on lakes. As it taxies out for take-off, the plane itself weighs 10670 Newtons (2849lbs), it has 40 gallons of gasoline in its tanks, and the pilot and passenger together weigh 1513 Newtons (340 lbs). One gallon of gasoline weighs 25  Newtons (5.67lbs). What is buoyant force on the plane when it floats in a body of water? Take the mass density of water to be 1000 kg/m3 and the acceleration due to gravity as 9.8 m/s2