A cube-shaped steel boat (sides of length 10 m) floats in a lake, and is 4/5...

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A cube-shaped steel boat (sides of length 10 m) floats in a lake, and is 4/5 submerged. You can treat water as an ideal fluid for this problem and is at rest, as is the boat. You may need that the density of water is 1000 kg/m. Boat d a. The boat springs a leak 1 meter below the surface and water begins to flow in. What is the velocity of the water entering the boat? Assume that the boat is open to the atmosphere. b. Does the mass flow rate (mass per unit time) of the water flowing in change as the boat sinks? Why or why not? Explain using physical principles. c. You seal the boat and begin to pump air into it to stop the leak immediately. To what pressure must you pump the boat's interior to stop the flow of water? The water's surface is at atmospheric pressure. A cube-shaped steel boat (sides of length 10 m) floats in a lake, and is 4/5 submerged. You can treat water as an ideal fluid for this problem and is at rest, as is the boat. You may need that the density of water is 1000 kg/m. Boat d a. The boat springs a leak 1 meter below the surface and water begins to flow in. What is the velocity of the water entering the boat? Assume that the boat is open to the atmosphere. b. Does the mass flow rate (mass per unit time) of the water flowing in change as the boat sinks? Why or why not? Explain using physical principles. c. You seal the boat and begin to pump air into it to stop the leak immediately. To what pressure must you pump the boat's interior to stop the flow of water? The water's surface is at atmospheric pressure.