The continuity equation is * based on the principle of conservation of mass O conservation of momentum O conservation of energy O conservation of force O

Problem 9 A boxcar of length 9.9 m and height 2.4 M is at rest on frictionless rails. Inside the boxcar (whose mass when empty is 3000 kg) a tank containing 1700 kg of water is located at the left end. The tank is 1.1 m long and 2.4 m tall. At some point the walls of the tank start to leak, and the water fills the floor of the boxcar uniformly. Assume that all the water stays in the boxcar. After all the water has leaked out what will be the final velocity of the boxcar? (Take movement to the right as positive. Assume that the mass of the boxcar is evenly distributed.) Submit Answer Tries 0/8 What is the displacement of the boxcar 6 S after the water has settled in the bottom. (Take positive displacement as being to the right.) Submit Answer Tries 0/8

** 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 tank is full of water. Find the work W required to pump the water out of the spout. (Use 9.8 m/s² for g. Use 1000 kg/m³ as the weight density of water.) |--4m+ W = 3 m † 4 m ↓ 9 m

An 210kg drone hits the ground at 311km/h and penetrates to a depth of 81.0cm.What was the force the ground exerted on the drone?

A tank has the shape of an inverted circular cone with height 7 m and base radius 3 m. It filled w water. Set up the integral form, don't evaluate it, for the work required to empty the tank by pumping all of the water to the top of a tank. (The density of water is 1000 kg/m³ and the acceleration due to gravity is 9.8 m/s²). 9800 7 S 9800 9800 49 9 - 49 * (7 — x)² dx 9 (7-2)²dx 49 (7 — x)² dx 7 9 [²3/10 S 49 -(7 — x)³ dx 7 9 √2/2 49 -(7 — x)² dx

Water is discharged from the hose with a speed of 42ft/sec. Determine the two possible angles the fireman can hold the hose so that the water strikes the building at B. Take S=20ft. VA = 40 ft/s 0 8 ft 4 ft

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

Suppose you spray your sister with water from a garden hose. The water is supplied to the hose at a rate of 0.497×10−3 m3/s and the diameter of the nozzle you hold is 5.41×10−3 m. At what speed v does the water exit the nozzle?

A hippo is dozing under water with only its small nostrils sticking out. It has a mass of 3000 kg and a volume of about 2.98 m3 after exhaling. How much force in Newtons does it exert on the ground of the pool (fresh water, density 1g/cm3)?