Semester:March – June 2018
Course:PHY440 Mechanics, Waves and Thermal Physics/PHY430 Physics I
Text books: Jewett, J.W. and Serway, R.A. (2010). Physics for Scientists and Engineers with ModernPhysics, 8th Edition, Brooks/Cole Cengage Learning.
Giancoli, D.C. (2009). Physics for Scientists & Engineers with Modern Physics, 4th Edition, Pearson International Edition.
Assignment 2(Topic 8 – 13)
Question / Topic / Problem1 / Section 10.3 Angular and Translational Quantities / No 19 (Softcopy) p.309; No 19 (Hardcopy) p. 309
A disk 8.00 cm in radius rotates at a constant rate of
1 200 rev/min about its central axis. Determine (a) its angular
speed in radians per second, (b) the tangential speed at
a point 3.00 cm from its center, (c) the radial acceleration
of a point on the rim, and (d) the total distance a point on
the rim moves in 2.00 s.
2 / Section 10.6 Torque / No 36 (Softcopy) p.311; No 36 (Hardcopy) p. 311
36. The fishing pole in Figure P10.36 makes an angle of 20.0°
with the horizontal. What is the torque exerted by the fish about an axis perpendicular to the page and passing through the angler’s hand if the fish pulls on the fishing line with a force = 100 N at an angle 37.0° below the horizontal? The force is applied at a point 2.00 m from the angler’s hands.
3 / Section 12.3 Examples of Rigid Objects in Static Equilibrium / No 18 (Softcopy) p.366; No 18 (Hardcopy) p. 366
A 20.0-kg floodlight in a park is supportedat the end of a horizontal beam ofnegligible mass that is hinged to a pole
as shown in Figure P12.18. A cable at anangle of =30.0with the beam helpssupport the light. (a) Draw a force diagramfor the beam. By computing torquesabout an axis at the hinge at the left-handend of the beam, find (b) the tensionin the cable, (c) the horizontal component of the forceexerted by the pole on the beam, and (d) the vertical componentof this force.
4 / Simple Harmonic Motion:Oscillation of a Spring / Lecture 14 Power Point Slides
Example 14-5: Spring calculations.
A spring stretches 0.150 m when a 0.300-kg mass is gently attached to it. The spring is then set up horizontally with the 0.300-kg mass resting on a frictionless table. The mass is pushed so that the spring is compressed 0.100 m from the equilibrium point, and released from rest. Determine: (a) the spring stiffness constant k and angular frequency ω; (b) the amplitude of the horizontal oscillation A; (c) the magnitude of the maximum velocity vmax; (d) the magnitude of the maximum acceleration amax of the mass; (e) the period T and frequency f; (f) the displacement x as a function of time; and (g) the velocity at t = 0.150 s.
5 / Simple Harmonic Motion: The Simple Pendulum / Lecture 14 Power Point Slides
Example 14-9: Measuring g.
A geologist uses a simple pendulum that has a length of 37.10 cm and a frequency of 0.8190 Hz at a particular location on the Earth. What is the acceleration of gravity at this location?
6 / Elastic Properties of Solids / No 58 (Softcopy) p.372; No 60 (Hardcopy) p. 372
A wire of length L, Young’s modulus Y, andcross-sectional area A is stretched elastically by an amountL. By Hooke’s law, the restoring force is −k L. (a) Showthat k =YA/L. (b) Show that the work done in stretchingthe wire by an amount L is W = YA(L)2/L.
7 / Section 16.3 The Speed of Waves on Strings / No 26 (Softcopy) p.484; No 28 (Hardcopy) p. 484
A transverse traveling wave on a taut wire has an amplitude
of 0.200 mm and a frequency of 500 Hz. It travels with a
speed of 196 m/s. (a) Write an equation in SI units of the
form y =A sin (kx−t) for this wave. (b) The mass per
unit length of this wire is 4.10 g/m. Find the tension in the
wire.
8 / Section 14.4 Buoyant Forces and Archimedes’s Principle / No 29 (Softcopy) p.426; No 29 (Hardcopy) p. 426
A plastic sphere floats in water with 50.0% of its volume
submerged. This same sphere floats in glycerin with
40.0% of its volume submerged. Determine the densities of
(a) the glycerin and (b) the sphere.
9 / Fluid Mechanics – Bernoulli’s Equation / Lecture 13 Power Point Slides
Example 13-15: Flow and pressure in a hot-water heating system.
Water circulates throughout a house in a hot-water heating system. If the water is pumped at a speed of 0.5 m/s through a 4.0-cm-diameter pipe in the basement under a pressure of 3.0 atm, what will be the flow speed and pressure in a 2.6-cm-diameter pipe on the second floor 5.0 m above? Assume the pipes do not divide into branches.
10 / Calorimetry / Lecture 19 Power Point Slides
Example 19-4: Unknown specific heat determined by calorimetry.
An engineer wishes to determine the specific heat of a new metal alloy. A 0.150-kg sample of the alloy is heated to 540°C. It is then quickly placed in 0.400 kg of water at 10.0°C, which is contained in a 0.200-kg aluminum calorimeter cup. (We do not need to know the mass of the insulating jacket since we assume the air space between it and the cup insulates it well, so that its temperature does not change significantly.) The final temperature of the system is 30.5°C. Calculate the specific heat of the alloy.
11 / Section 20.3 Latent Heat / No 16 (Softcopy) p.593; No 20 (Hardcopy) p. 594
16. A 3.00-g lead bullet at 30.0°C is fired at a speed of 240 m/s into a large block of ice at 0°C, in which it becomes embedded. What quantity of ice melts?
12 / Section 20.6 Some Applications of the First Law of Thermodynamics / No 31 (Softcopy) p.594; No 33 (Hardcopy) p. 595
31. An ideal gas initially at 300 K undergoes an isobaric expansion at 2.50 kPa. If the volume increases from 1.00 m3 to3.00 m3 and 12.5 kJ is transferred to the gas by heat, what are (a) the change in its internal energy and (b) its final temperature?
13 / The First Law of Thermodynamics Applied; Calculating the Work / Lecture 19 Power Point Slides
Example 19-10: First law in isobaric and isovolumetric processes.
An ideal gas is slowly compressed at a constant pressure of 2.0 atm from 10.0 L to 2.0 L. (In this process, some heat flows out of the gas and the temperature drops.) Heat is then added to the gas, holding the volume constant, and the pressure and temperature are allowed to rise (line DA) until the temperature reaches its original value (TA = TB). Calculate (a) the total work done by the gas in the process BDA, and (b) the total heat flow into the gas.
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