Semester: March – June 2014
Course: PHY440 Mechanics, Waves and Thermal Physics
Text book: Jewett, J.W. and Serway, R.A. (2010). Physics for Scientists and Engineers with Modern Physics, 8th Edition, Brooks/Cole Cengage Learning.
Assignment 1
Question / Topic / Problem1 / Section 1.1 Standards of Length, Mass, and Time / No 4 (Softcopy) p.15; No 4 (Hardcopy) p. 15
A proton, which is the nucleus of a hydrogen atom,
can be modeled as a sphere with a diameter of 2.4 fm and
a mass of 1.67 x 10-27kg. (a) Determine the density of the
proton. (b) State how your answer to part (a) compares with the density of osmium, given in Table 14.1 in Chapter 14.
2 / Section 1.4 Conversion of Units / No 16 (Softcopy) p.16; No 14 (Hardcopy) p. 16
An ore loader moves 1 200 tons/h from a mine to the surface. Convert this rate to pounds per second, using 1 ton = 2 000 lb.
3 / Section 2.2 Instantaneous Velocity and Speed / No 8 (Softcopy) p.49; No 8 (Hardcopy) p. 49
Find the instantaneous velocity of the particle described
in Figure P2.1 at the following times: (a) t = 1.0 s, (b) t =
3.0 s, (c) t = 4.5 s, and (d) t = 7.5 s.
4 / Section 2.4 Acceleration / No 15(Softcopy) p.49; No 15 (Hardcopy) p. 49
Figure P2.15 shows a graph of vx versus t for the motion of
a motorcyclist as he starts from rest and moves along the
road in a straight line. (a) Find the average acceleration for
the time interval t = 0 to t = 6.00 s. (b) Estimate the time
at which the acceleration has its greatest positive value and
the value of the acceleration at that instant. (c) When is
the acceleration zero? (d) Estimate the maximum negative
value of the acceleration and the time at which it occurs.
5 / Section 2.6 Analysis Model: Particle Under Constant Acceleration / No 29 (Softcopy) p.50; No 29 (Hardcopy) p. 50
The driver of a car slams on the brakes when he sees a tree
blocking the road. The car slows uniformly with an acceleration of -5.60 m/s2 for 4.20 s, making straight skid marks 62.4 m long, all the way to the tree. With what speed does the car then strike the tree?
6 / Section 2.7 Freely Falling Objects / No 46 (Softcopy) p.52; No 42 (Hardcopy) p. 52
[Ignore the effects of air resistance.]
A package is dropped at time t = 0 from a helicopter
that is descending steadily at a speed vi. (a) What is the
speed of the package in terms of vi, g, and t? (b) What vertical
distance d is it from the helicopter in terms of g and t ?
(c) What are the answers to parts (a) and (b) if the helicopter
is rising steadily at the same speed?
7 / Section 3.4 Components of a Vector and Unit Vectors / No 36 (Softcopy) p.70; No 36 (Hardcopy) p. 70
Three displacement vectors of a croquet ball are shown in Figure P3.36, where A = 20.0 units, B = 40.0 units, and C= 30.0 units. Find (a) the resultant in unit-vector notation and (b) the magnitude and direction of the resultant displacement.
8 / Section 4.4 Analysis Model: Particle in Uniform Circular Motion / No 30 (Softcopy) p.98; No 28 (Hardcopy) p. 98
An athlete swings a ball, connected to the end of a chain,
in a horizontal circle. The athlete is able to rotate the ball
at the rate of 8.00 rev/s when the length of the chain is
0.600 m. When he increases the length to 0.900 m, he is
able to rotate the ball only 6.00 rev/s. (a) Which rate of
rotation gives the greater speed for the ball? (b) What is the
centripetal acceleration of the ball at 8.00 rev/s? (c) What
is the centripetal acceleration at 6.00 rev/s?
9 / Section 4.6 Relative Velocity and Relative Acceleration / No 35 (Softcopy) p.98; No 39 (Hardcopy) p. 98
A police car traveling at 95.0 km/h is traveling west, chasing
a motorist traveling at 80.0 km/h. (a) What is the velocity
of the motorist relative to the police car? (b) What is the
velocity of the police car relative to the motorist? (c) If they
are originally 250 m apart, in what time interval will the
police car overtake the motorist?
10 / Additional Problem / No 48 (Softcopy) p.99; No 46 (Hardcopy) p. 99
[Ignore the effects of air resistance.]
A boy throws a stone horizontally from the top of a cliff
of height h toward the ocean below. The stone strikes the
ocean at distance d from the base of the cliff. In terms of
h, d, and g, find expressions for (a) the time t at which the
stone lands in the ocean, (b) the initial speed of the stone,
(c) the speed of the stone immediately before it reaches the
ocean, and (d) the direction of the stone’s velocity immediately
before it reaches the ocean.
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