Please Note: It may not always be possible to include the necessary special characters, superscripts, subscripts, etc. in e-mail responses to this group of exercises. We suggest that you discuss this matter with your professor/class and decide upon a system for indicating such characters. You may cut/paste some characters and/or Greek letters from Microsoft Word, using the Insert menu. Alternatively, we suggest that you agree upon abbreviations for or spell out symbols, Greek letters, or characters and indicate superscripts and subscripts by using "sup", "sub", or up/down carats.

Δh = 0.368 m of mercury ρHg = 13.6 × 103 kg/m3 ρwater = 1.00 × 103 kg/m3

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Determine the following:

1			Pressure due to water at level a Need a Hint?
2			Pressure due to water at level b Need a Hint?
3			Absolute pressure at bottom of tank Need a Hint?
4			Distance h below surface where manometer is attached Need a Hint?

In a hydraulic lift, the diameter of the pistons are 5.00 cm and 20.0 cm. A car weighing 10.0 kN is to be lifted by the large piston. Determine the following:

5			Pressure in the large piston Need a Hint?
6			Pressure in the small piston Need a Hint?
7			Force that must be applied to the small piston Need a Hint?
8			Distance the car is moved when the small piston is pushed in by 10.0 cm
9			The mechanical advantage of the lift, which is the ratio of Fout/Fapplied

Consider the following three objects and the given information

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10			Mass density of the object shown in Figure (a) Need a Hint?
11			Mass of the object shown in Figure (b) Need a Hint?
12			Volume of the object shown in Figure (c) Need a Hint?

The cylindrical object shown in the figure below floats in liquid 1 and hangs suspended by a cord in liquid 2. The tension in the cord is represented by T.

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13			Density of object Need a Hint?
14			Weight of object Need a Hint?
15			Buoyant force on object in liquid 1 Need a Hint?
16			Weight of liquid 1 displaced by object Need a Hint?
17			Density of liquid 1 Need a Hint?
18			Buoyant force on object in liquid 2 Need a Hint?
19			Weight of liquid 2 displaced by object Need a Hint?
20			Density of liquid 2 Need a Hint?

The figure to the right shows a rigid pipe full of a flowing incompressible fluid and an attached mercury manometer. d1 = 1.00 × 10-1 m = diameter of large pipe d2 = 2.50 × 10-2 m = diameter of small pipe ρf = 1.20 × 103 kg/m3 = mass density of fluid m/t = 9.42 kg/s = mass flow rate of fluid

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21			Volume flow rate of fluid Need a Hint?
22			Flow speed through large pipe Need a Hint?
23			Flow speed through small pipe Need a Hint?
24			Difference in pressure between the two pipes Need a Hint?
25			Difference in mercury level in the sides of the U-tube Need a Hint?