[SOLVED] Physics 230 Homework Set 2

P1. Imagine a ship made of steel that is roughly shaped like a box with length 75.0 m, width
30.0 m, and height 30.0 m. The ship has a total mass of 3.75 106 kg.
What is the maximum cargo load that the ship can carry without sinking?P2. Imagine having two identical cylindrical glasses, each containing water. The first glass
has 0.200 kg of water and the second glass has 0.185 kg of water with a 25 g ice cube
floating in it. How do the heights of the water in the two glasses compare? Your answer
should be written as a ratio of h2/h1.P3. A garden hose sprays water from ground level at an angle of 47 above the horizontal
towards a building. The initial speed of the water is such that it strikes a building
horizontally at a height of 8.0 m above the ground. The diameter of the garden hose is
2.5 cm. Calculate the flow rate of the water leaving the garden hose.P4. A long cylindrical tube has a length of 3.0 m and a radius of 0.25 m and is filled with
water. The cylindrical tube is oriented with its long axis vertical and it is open to the
atmosphere at the upper end. A hole with a radius of 0.11 m is drilled in the bottom of
the cylindrical tube, which allows the water to drain out vertically downward.When the water level is 2/3 the height of the length of the tube,
a) calculate the speed of the water exiting the hole,
b) calculate how fast the top of the water column is falling, and
c) calculate the flow rate of the water exiting the hole.Now consider an object freely falling in the earths uniform gravitational field. Allow
the object to fall from a height equal to the height of the water level considered above
and allow this falling object to have an initial downward velocity equal to the velocity
of the top of the falling water column, which was calculated in part b).d) Calculate the speed of the freely falling object when it reaches the bottom of
the water column. How does this speed compare to the speed of the water exiting
the hole? Are your answers reasonable? Explain