MATH 265 Assignment 1 (Rev. 16)
(Revision 5)
Physics 201: Introductory Physics II Assignment 1 1
Assignment 1
This assignment is worth 10% of your final grade. It consists of 18 questions (covering Units 1–3), which
you should answer in detail.
Once you have answered all the questions, submit your assignment for marking using the drop box on the
course home page. A scanned copy of your handwritten solutions is acceptable. If you have any questions,
please contact your tutor.
1. An object of mass 760 g is attached to one end of a spring and performs SHM. The position of the
object as a function of time is described by the graph below, where 0x = represents the point of
equili
ium. Based on the graph, determine the
a. oscillation amplitude.
. angular frequency.
c. spring constant.
d. maximum acceleration.
2. A simple harmonic oscillator has a total energy of 20 J. Determine the kinetic and potential energies
when the displacement is one half the amplitude.
3. A block of mass 9.5 kgm = is connected to two springs XXXXXXXXXXN/mk = and 2 40 N/mk = ) and performs
SHM on a frictionless horizontal surface, as shown in the diagrams below. Determine the period of
oscillation when the springs are connected to the block
a. in parallel.
. in series.
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Physics 201: Introductory Physics II Assignment 1 2
4. After landing on Mars, an astronaut constructs a simple pendulum of length 54 cm. The astronaut finds
that the pendulum completes 10 oscillations in 24 s. Using this information, determine the acceleration
due to gravity on Mars.
5. A simple pendulum consists of a bob and a light string of length 91 cm. The bob is displaced 10° from
the equili
ium position, then released. Determine the bob’s maximum
a. speed.
. angular acceleration.
6. On a cold winter night in Yellowknife, the temperature difference between the inside and the outside of
a home’s window is 60°C. Express the value of this difference on the
a. Kelvin scale.
. Fahrenheit scale.
7. A mercury thermometer bulb has a volume of 0.200 cm3. The capillary tube above the bulb has a cross-
sectional diameter of 0.120 mm. How much does the mercury rise in the tube when the temperature
increases from 10°C to 32°C?
8. A certain amount of an ideal gas is trapped inside a piston cylinder, which maintains constant pressure.
If the gas has a density of 0.200 kg/m3 at 25.0°C, determine the density after the cylinder is heated to
100°C.
9. A container has 35 litres of oxygen (O2) gas at 27°C and 1.1 atm pressure. Determine
a. the number moles of the O2 gas in the container.
. the number of O2 molecules.
c. the mass of the oxygen gas enclosed.
10. Calculate the average separation between air molecules and their mean speed, at STP, and estimate the
time it would take one molecule to move into the region occupied by another. Assume that air consists
mainly of nitrogen (N2) gas.
11. Gasoline yields XXXXXXXXXXJ/kg× when burned. How much energy does a car use in travelling from
Edmonton to Edson (200 km) if it can travel 9.6 kilometres per liter? Assume the density of gasoline is
68% that of water.
12. A block of ice at 0°C is added to a 180 g well-insulated aluminum calorimeter cup that holds 250 g of
water at 11°C. If all but 10 g of ice melt, determine the mass of the original block of ice.
13. A 10 kg steel block, initially at 600°C, falls into a bucket containing 10 litres of water at 72°C. How
much water evaporates? Ignore heat transfe
ed to the bucket and the environment.
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Physics 201: Introductory Physics II Assignment 1 3
14. The thermal conductivity of aluminum is twice that of
ass. Two rods, one aluminum and the other
ass, are joined end to end as shown in the diagram below. The rods have the same length and cross-
sectional diameter. The free end of the
ass rod is maintained at 10°C, while the free end of the
aluminum rod is kept at 200°C. Under these conditions of steady heat flow, determine the temperature
at the junction between the rods.
15. Ten moles of an ideal gas are initially at −20°C. The gas undergoes expansion at constant pressure to
double its original volume. Determine
a. the final temperature of the gas in degrees Celsius.
. the work done by the gas during process.
16. A heat engine operates between 42.0°C and 357°C. Being a real engine, its efficiency is only 60% of
that theoretically possible for a Carnot engine at these temperatures. If the engine abso
s heat at a rate
of 50 kW, at what rate does it exhaust heat?
17. Two Carnot engines operate in series, where the first one receives heat at TH = 870 K and exhausts heat
to a reservoir between the two engines at temperature T. The second engine takes all the heat released
y the first engine and discharges heat to a low temperature reservoir at TL = 300 K. If the first engine
performs two times the useful work of the second engine, determine the temperature T.
18. A piece of metal at 80°C is placed into 1.0 litre of water at 70°C. This thermally isolated system
eaches a final temperature of 76°C. Estimate the overall entropy change for the system.
Assignment 1
Microsoft Word - assignment02.docx
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Physics 201: Introductory Physics II Assignment 2 1
Assignment 2
This assignment is worth 10% of your final grade. It consists of 18 questions (covering Units 4–5), which
you should answer in detail.
Once you have answered all the questions, submit your assignment for marking using the drop box on the
course home page. A scanned copy of your handwritten solutions is acceptable. If you have any questions,
please contact your tutor.
1. Two 4.0 g beads are equally charged and placed 30 cm apart. When released, both beads begin to
accelerate at 100 m/s2 under their mutual repulsive force. Determine the magnitude of the charge on
each bead.
2. In the diagram below, the net force on the 1.0 C charge is equal to zero. Determine the sign and
magnitude of the unknown charge Q.
3. A charge of 2Q sits at the origin and a second charge of Q is placed at 1.0 mx , as shown in the
diagram. At what point on the x axis is the net electric field equal to zero?
4. Consider an equilateral triangle of side length 18 cm. A charge of 2.0 nC is positioned at the top
vertex and two charges, 4.0 nC each, sit at the bottom vertices, as shown in the diagram. Determine
the magnitude and direction of the electric field at the centre of the triangle.
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Physics 201: Introductory Physics II Assignment 2 2
5. How much energy is required to assemble four positive charges, of 5.0 CQ each, at the vertices
of a square (see diagram below) of side length 6.0 cm?
6. Two charges (2.0 nC and 4.0 nC) are fixed on the x axis, as shown in the diagram. Determine the
electric potential at points A, B, C and D.
7. In the diagram of Question 6, calculate the work done to move a positive charge of 0.010 C from point
A to point C.
8. A particle of mass 5.00 g and a charge of 5.00 C is held at point A, while a second particle of mass
8.00 g and a charge of 8.00 C is held at point B. When released, the two particles fly apart, and a
detector indicates a speed of 208 m/s for the lighter particle when the separation between the particles
ecomes 10.0 cm. Determine the
a. speed of the heavier particle when the separation is 10.0 cm.
. distance between points A and B.
9. A charge of 5.0 C is fixed at the origin and a particle of mass 2.7 g and charge 3.0 C is initially
located at 1.0 mx . The particle is shot with an initial velocity of 20 m/s directly toward the fixed
charge. How far does the particle travel before it stops and bounces back?
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Physics 201: Introductory Physics II Assignment 2 3
10. A capacitor is connected to a 12 V battery and becomes fully charged. The battery is then removed and
eplaced by a voltmeter. After that, a dielectric material ( 7.0K ) is inserted to fill the space between the
plates, as shown in the diagram. What is the final reading on the voltmeter?
11. A piece of wire has a resistance of 20 m. Determine the resistance of the wire after it is stretched to
three times its initial length.
12. Two wires, one gold and the other silver, have equal lengths and cross-sectional diameters. They are
joined end to end and connected across a 1.0 V battery, as shown in the diagram. Determine the voltage
drop across the silver wire.
13. When connected in parallel to a power source, two resistors use five times the power consumed when
connected in series (see diagrams below). If one resistor has a value of 100 , determine the possible
values of the other resistor.
14. Consider the circuit shown in the diagram below. Determine the cu
ent through each resistor.
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Physics 201: Introductory Physics II Assignment 2 4
15. Determine the readings of the ammeter and the voltmeter connected as shown in the circuit diagram
elow.
16. The switch in the circuit below was closed a long time ago. Determine the charge stored on each