CCN1049 Physics I
T utorial 1 Ch. 2
Problems
2.4 A car travels up a hill at a constant speed of 35 km/h and returns down the hill at a constant
speed of 60 km/h. Calculate the average speed for the round trip. [44 km/h]
2.15 (a) If a particles position is
CCN1049 Physics I
T utorial 5 Ch. 9
Suggested Solutions
9.5 Since the plate is uniform, we can split it up into three rectangular pieces, with the mass of each
piece being proportional to its area and its center of mass being at its geometric center. Well
CCN1049 Physics I
T utorial 6 Ch. 10
Problems
10.5 A diver makes 2.5 revolutions on the way from a 10-m high platform to the water. Assuming
zero initial vertical velocity, find the average angular velocity during the dive. [11 rad/s]
10.15 A wheel has a
CCN1049 Physics I
T utorial 6 Ch. 10
Suggested Solutions
10.5 Applying Eq. 2-15 to the vertical axis (with +y downward) we obtain the free-fall time:
y v0 y t +
=
12
gt =
t
2
2(10 m)
= 1.4 s.
9.8 m/s 2
Thus, by Eq. 10-5, the magnitude of the average angul
CCN1049 Physics I
T utorial 7 Ch. 11
Problems
11.2 An automobile traveling at 80.0 km/h has tires of 70.0 cm diameter. (a) What is the angular
speed of the tires about their axles? (b) If the car is brought to a stop uniformly in 30.0 complete
turns of th
CCN1049 Physics I
T utorial 7 Ch. 11
Suggested Solutions
11.2 The initial speed of the car is
=
v
80 km/h ) (1000 m/km)(1 h/3600 s)
(=
22.2 m/s .
The tire radius is R = 0.700/2 = 0.350 m.
(a) The initial speed of the car is the initial speed of the center
CCN1049 Physics I
Tutorial 7 C h. 11
Problems
11.2 An automobile traveling at 80.0 km/h has tires of 70.0 cm diameter. (a) What is the angular
speed of the tires about their axles? (b) If the car is brought to a stop uniformly in 30.0 complete
turns of th
CCN1049 Physics I
T utorial 8 Ch. 15
Problems
15.13 An oscillator consists of a block of mass 0.500 kg connected to a spring. When set into
oscillation with amplitude 35.0 cm, the oscillator repeats its motion every 0.350 s. Find the (a)
period, (b) frequ
CCN1049 Physics I
T utorial 8 Ch. 15
Suggested Solutions
15.13 (a) The motion repeats every 0.350 s so the period must be T = 0.350 s.
(b) The frequency is the reciprocal of the period: f = 1/T = 1/(0.350 s) = 2.86 Hz.
(c) The angular frequency is = 2f =
CCN1049 Physics I
T utorial 9 Ch. 16
Problems
16.13 A sinusoidal wave of frequency 500 Hz has a speed of 320 m/s. (a) How far apart are two
points that differ in phase by /3 rad? (b) What is the phase difference between two displacements
at a certain poin
CCN1049 Physics I
T utorial 9 Ch. 16
Suggested Solutions
16.13 Using v = f, we find the length of one cycle of the wave is
= 320/500 = 0.640 m = 640 mm.
From f = 1/T, we find the time for one cycle of oscillation is T = 1/500 = 2.00 103 s = 2.00 ms.
(a)
CCN1049 Physics I
T utorial 10 Ch. 17
Problems
17.5 Earthquakes generate sound waves inside Earth. Unlike a gas, Earth can experience both
transverse (S) and longitudinal (P) sound waves. Typically, the speed of S waves is about 4.5 km/s,
and that of P wa
CCN1049 Physics I
T utorial 10 Ch. 17
Suggested Solutions
17.5 If d is the distance from the location of the earthquake to the seismograph and vs is the speed of
the S waves, then the time for these waves to reach the seismograph is ts. = d/vs. Similarly,
CCN1049 Physics I
T utorial 11 Ch. 18
Problems
18.7 Suppose that on a linear temperature scale X, water boils at 53.5X and freezes at 170X.
What is a temperature of 340 K on the X scale? (Approximate waters boiling point as 373 K and
freezing point as 273
CCN1049 Physics I
T utorial 12 Ch. 19
Problems
19.2 Gold has a molar mass of 197 g/mol. (a) How many moles of gold are in a 1.50 g sample of
pure gold? (b) How many atoms are in the sample? [0.00761 mol; 4.58 1021]
19.3 Oxygen gas having a volume of 1000
CCN1049 Physics I
T utorial 12 Ch. 19
Suggested Solutions
19.2 (a) Equation 19-3 yields n = Msam/M = 1.5/197 = 0.007614 = 0.00761mol.
(b) The number of atoms is found from Eq. 19-2:
N = nNA = (0.007614)(6.02 1023) = 4.58 1021.
19.3 In solving the ideal-ga
CCN1049 Physics I
T utorial 5 Ch. 9
Problems
9.5 What are (a) the x coordinate and (b) the y coordinate of the center of mass for the uniform
plate shown in Fig. 9-38 if L = 5.0 cm? [0.45 cm; 2.0 cm]
9.13 A shell is shot with an initial velocity of 0 = 20
CCN1049 Physics I
T utorial 4 Ch. 7 & 8
Problems
7.1 A proton (mass m = 1.67 1027 kg) is being accelerated along a straight line at 3.6 1015 m/s2
in a machine. If the proton has an initial speed of 2.4 107 m/s and travels 3.5 cm, what then is (a)
its spee
CCN1049 Physics I
Lecture 4 Ch. 7 & 8
(Last updated on 17 August 2012)
Chapter 7
Kinetic energy and work
Textbook: Halliday et al. (2011). Principles of Physics Extended, 9th Ed., ISV. Wiley.
Contents
7-2 What Is Energy?
7-3 Kinetic Energy
7-4 Work
7-5 Wo
CCN1049 Physics I
Lecture 5 Ch. 9
(Last updated on 18 August 2012)
Chapter 9
Center of Mass
and
Linear Momentum
Textbook: Halliday et al. (2011). Principles of Physics Extended, 9th Ed., ISV. Wiley.
Contents
9-2 The Center of Mass
9-3 Newtons Second Law f
CCN1049 Physics I
Lecture 7 Ch. 11
(Last updated on 23 August 2012)
Chapter 11
Rolling, Torque, and
Angular Momentum
Textbook: Halliday et al. (2011). Principles of Physics Extended, 9th Ed., ISV. Wiley.
Contents
11-2 Rolling as Translation and Rotation C
CCN1049 Physics I
Lecture 8 Ch. 15
(Last updated on 26 August 2012)
Chapter 15
Oscillations
Textbook: Halliday et al. (2011). Principles of Physics Extended, 9th Ed., ISV. Wiley.
Contents
15-2 Simple Harmonic Motion
15-3 The Force Law for Simple Harmonic
CCN1049 Physics I
Lecture 11 Ch. 18
(Last updated on 16 September 2012)
Chapter 18
Temperature, Heat, and the
First Law of Thermodynamics
Textbook: Halliday et al. (2011). Principles of Physics Extended, 9th Ed., ISV. Wiley.
Contents
18-2 Temperature
18-3
CCN1049 Physics I
Lecture 12 Ch. 19
(Last updated on 22 September 2012)
Chapter 19
The Kinetic Theory of Gases
Textbook: Halliday et al. (2011). Principles of Physics Extended, 9th Ed., ISV. Wiley.
Contents
19-2 Avogadros Number
19-3 Ideal Gases
19-4 Pres
CCN1049 Physics I
T utorial 1 Ch. 2
Suggested Solutions
2.4 Average speed, as opposed to average velocity, relates to the total distance, as opposed to the net
displacement. The distance D up the hill is, of course, the same as the distance down the hill,