SPH4U Final Exam – June 2011 Page 1 of 8

St. Andrew’s College

SPH4U Senior Physics Final Exam, June 2011

Time: 2.5 hours Your Name: ____________________________________ Aids Permitted:

Graphing Calculator The memory can be left intact to permit use of quadratic solver and other programmed functions; however, no other use of its memory is permitted. (i.e. No notes or other formulae may be on your calculator.)

The back page of this exam contains formulae and constants.

The use of a pencil and eraser is recommended. No other aids permitted.

Foolscap is required to answer the Calculation Questions

Exam Contents:

True or False Questions 20 questions, 20 marks Suggested time: 10 minutes.

Write T or F in the space provided. Concept Questions 10 questions, 50 marks Suggested time: 60 minutes.

Answer in the space provided.

No calculations are required.

Use point form, equations, laws & relationships, math, diagrams etc. in your explanations. Remember: Mr B speaks math!

Calculation Questions 6 questions, 30 marks Suggested time: 60 minutes.

Answer all questions on the foolscap provided. Be sure to clearly number each question.

For full marks: You must show a FBD or other diagram on every question, plus your equations, assumptions etc. and an outline of your calculations.

Use g = 10 N/kg. Other constants and equations are given on the last page.

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True or False Write T or F in the space provided. 1. ____ If a car has a speed of 60 km/h and swerves to the left but maintains the same speed, then a force

must have acted on the vehicle.

2. ____ No force is required for an object to move in uniform circular motion since its speed is constant.

3. ____ Centripetal force is a type of force.

4. ____ No acceleration means no forces are present.

5. ____ The normal force is part of the action-reaction pair involving gravity.

6. ____ Since an object moving in UCM is constantly changing direction, it is hard to know the direction of its acceleration any point in time.

7. ____ The freefall acceleration rate, g, does not depend on the mass that is falling.

8. ____ A satellite can increase its speed and yet stay in the same circular orbit.

9. ____ If you increase the magnitude of a test charge, but the force exerted on it remained the same, then the field strength must also have changed.

10. ____ Electric field lines are the same thing as electric field vectors.

11. ____ A neutral object that gains electrons is negatively charged.

12. ____ Electric potential energy and electric potential are different.

13. ____ There is electric potential surrounding a single charge.

14. ____ A material can have an index of refraction of 0.8.

15. ____ If light passes from one medium to another, and bends toward the normal, then the refractive index of the second material is greater than the first.

16. ____ A double-slit interference pattern is caused by differences in the path lengths traveled by the light diffracting from each slit.

17. ____ If the path length difference in a double-slit interference pattern equals one wavelength, the result is complete destructive interference.

18. ____ Diffraction only occurs with light.

19. ____ Impulse is the same as change in momentum.

20. ____ Electrons have a wavelength given by the equation = h/p

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Concept Questions

Answer all questions in the space provided.

No calculations are required for this section of the exam, but:

Use point form, proper terminology, equations, laws & relationships, diagrams, etc. 21. The idea and use of “orthogonal vectors” was an important part of this course. Describe three different

topics in which this concept was used, highlighting why it was essential to the topic. [3 x 2 = 6 marks] a.

b.

c.

22. Mr. Butcher said that “you should not show FNET on a FBD”. Explain why this is so. [2] 23. Sketch the path that the dark object would follow in each situation, once released: [3]

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24. Draw labelled FBDs for the boldface object(s) in each description. Show all forces on the object(s) and clearly show the relative sizes or equality of the forces. [14]

An airplane in level flight

An airplane at the bottom of a vertical circle

The moon in orbit around the earth

An electron in “orbit” around a proton

A rock falling towards the moon

A ball swung on a string in a horizontal circle.

A 1T car collides with a 10 T truck

A baseball flies through the air.

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25. Graph & label the “potential well” for the sun and on it indicate, using the following letters [7] a. The Earth b. Mercury (the closest planet to the sun) c. Neptune (the furthest planet from the sun) d. The Voyager II spacecraft (presently at about 1.5 times Neptune’s orbit from the sun, and never

to return). e. An ion that is being ejected at 0.5 c from a solar flare on the surface of the sun. f. An object in an “impossible” position on the graph.

26. State Newton’s Three Laws of motion: [3]

1. 2. 3.

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27. What are the three types of collisions? and what is the distinguishing feature of each? [6] 1. ______________________________ - 2. ______________________________ - 3. ______________________________ -

28. You are holding a cup of coffee 1 m above the floor. You extend your arm laterally out the window of your physics classroom so that you are now holding it 10 m above the ground. Have you increased the cup’s gravitational potential energy? Discuss! [3]

29. Briefly explain how waves passing through two slits form the diffraction pattern seen here: [3] 30. Is light a particle or a wave? Briefly explain. [3]

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Calculation Questions

Answer all questions on the foolscap provided. Be sure to clearly number each question.

For full marks: You must show a FBD or other diagram on every question, plus your equations, assumptions etc. and an outline of your calculations.

Use g = 10 N/kg. Other constants and equations are given on the last page. 31. A 5 kg and 2 kg block are connected as shown below. Find the acceleration of the system. [5] 32. A CC-130 Hercules aircraft travelling at 60 m/s releases a crate of

emergency supplies from an altitude of 100 m. Normally a parachute would slow the descent, but if the parachute fails to open (and ignoring air resistance) at what velocity would the crate impact the ground? [5]

33. After the collision of two identical pool balls, one of them is travelling at 3 m/s [N] while the other is moving

at 4 m/s [E]. If one ball was at rest before the collision… a. What was the initial velocity of the other? [4] b. Was the collision elastic? Was it even possible? (show evidence & discuss) [3]

34. An electron travelling at a speed of 0.2c is captured by a proton. Assuming the electron enters a circular orbit at that speed, what will be the radius of its motion? (see data sheet for masses etc) [3]

35. A 1 kg and a 2 kg object are charged with +1 C and +2 C respectively. If they are released from 10 m apart, what is the maximum speed that each of them will reach? [5]

36. A drop of oil on water produces bands of colour. As the oil spreads out, the colour produced at each point changes. [5]

a. Explain what would you would see as the oil layer gets thinner and thinner. b. What would be the last colour reflected as it gets very thin? Show work!

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Formulae Boldface indicates vectors Kinematics v = d/t d = v1 t + ½ a t2 d = v2 t - ½ a t2

d = ½(v1 +v2) t v2 = v1 + at v2

2 = v12 - 2ad

Dynamics

F = FNET = ma Fg = W = mg

Ff N Rotational Dynamics

ac = v2/r = 42rf2 = 42r/T2

T = 1/f Work & Energy

Ek = ½mv2

Epg = mgh

W = Fd = Fd cos = E ET = ET' Hooke's Law Materials Fs = k x

Eps = ½ k x2 Universal Gravitation Fg = Gm1m2/r

2

Epg = - Gm1m2/r Momentum & Collisions p = mv

J = p = mv = FNET t

FNET = p/t pT = pT'

Electrostatics Fe = kq1q2/r

2

Ee = kq1q2/r

ε = Fe/q = kq/r2

V = Ee/q = kq/r

Vppc = ε dppc

Quantum Physics

v = f E = hf or nhf

p = h/ Waves & Light

x/L = sin θ = PLD/d η = c/v Relativity:

t’ = t L’ = L

m’ = m Units & Prefixes 1 t = 1 000 kg prefix symbol value

mega M 106

kilo k 103

centi c 10-2

milli m 10-3

micro 10-6

nano n 10-9

3.6 km/h = 1 m/s

Constants

gearth = 10 N/kg

G = 6.67 x 10-11 N∙m2 / kg2

k = 9 x 109 N∙m2 / C2

h = 6.63 x 10-34 J∙s

e = 1.6 x 10-19 C

c = 3 x 108 m/s

melectron = 9.11 x 10-31 kg

mproton = 1.67 x 10-27 kg

mearth = 5.98 x 1024 kg

rearth = 6.38 x 106 kg ηAIR ~1.00 ηOIL ~1.4 ηWATER ~1.33 λred ~ 650 nm λgreen ~ 500 nm λblue ~ 400 nm