BMT107W

# BMT107W - l_l First Letter Last Name Name Student Number...

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Unformatted text preview: l_l First Letter Last Name Name: Student Number: PHYS 101 Mid-term I OCTOBER 10, 2007 Constants: Pmnmsphe,c = 1.013X105 Pa, Density of fresh water = 1000 kg/m3 Density of air = 1.28 kg/m3 Velocity of sound in air = 343 m/s g = 9.81 m/s2 Marks -- Show All your work, use pen, simple scientiﬁc calculator Question 1 Five blocks are ﬂoating in water as shown and have the same cross—sectional area i.e. the same horizontal dimensions but have different heights and are made of different materials. A B C D E water level a) Rank the blocks in order of their densities indicating any equality. Greatest: Least Reason: b) Rank the blocks according to their weight indicating any equality. Greatest: Least Reason: :3 Ed L3: '3 L 0 UK Question 2 A beaker of water sits on a balance. A block of ma erial ’3 a H to is lowered into the water on the end of a string and is held suspended in the water. The initial balance reading, with the block out of the water is 7 _ 0.780 kg. When the block is suspended in the water, the reading changes by 0.040 kg. a) When the block is in the water, is the balance reading greater or smaller than the initial value of 0.780 kg? b) What is volume of the block? C) Is it possible to ﬁnd the mass of the block from the information given? If so, what is the value? If not what additional information do you need? W O\’\ 0W1 K“ 07w MT! mm ‘5. 5" 1 Question 3 You need to siphon water from a clogged sink. The sink has an area of 0.35 m2 and is ﬁlled to a height of 4.00 cm. Your siphon tube rises 45.0 cm above the bottom of the sink and then descends 85 cm to a pail as shown. The siphon tube has a diameter of 2.80 cm. a) Assuming that the water level in the sink has almost zero velocity, estimate the water’s velocity when it drops into the pail. b) Estimate how long it will take to empty the sink. c) When the water ﬁrst starts to ﬂow, what is the pressure in the siphon tube at its highest point, 45.0 cm above the bottom of the sink? d) Theoretically, what is the greatest possible height that the siphon can lift water? Mdbmxos‘b (3 338114: UK Slw'hb'ﬁK” Question 4 Water ﬂows smoothly through the pipe shown. FYI. The diameter at point 2 is the same as at point 3 Rank the four numbered sections, according to: a) the flow speed through each section Greatest: Least b) the water pressure within them Greatest: Least 07W MT] Pl (ll 1 a i h 7' dcdadcdm rhCch’CLN to Question 5 Displacement versus time \3 05 ,5 . 25 3* 35 In. 5 a.“ ‘ ﬂuids) .- DllplchmInl (m) o .— D A plot of displacement versus time for a mass attached to a spring is shown. a) If the mass is 100 grams, what is the spring constant? 1)) Write an equation for the displacement as a function of time with all the constants evaluated, i.e. A, 0) and (1)0. c) On the diagram used for uniform circular motion above, indicate with dots the positions of the object corresponding to t = 0.0 s and t = 1.0 s g 1 0*“ \0‘ “mean a L%[email protected]%ﬁe (3(ri+q—1)so> u» L Question 6 The ﬁgure shows displacement curves for three experiments involving the same mass- spring system oscillating in simple harmonic motion. The timing was started before t = 0. Rank the curves according to: a) the spring’s potential energy at t=0. Greatest: Least b) the kinetic energy of the mass at t=O Greatest: Least c) the maximum kinetic energy of the mass during the oscillations Greatest: Least zcgm ya o=g4141 m 1:242, (3° O7WMT1 P101 2 ...
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