TOPIC LEARNING OUTCOMES REMARKS HOUR

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1 .0 PHYSICAL QUANTITIES AND MEASUREMENTS At the end of this topic, students should be able to: 5. Physical Quantities and Units a) List out the basic quantities and their respective SI units: length (m), time (s), mass (kg), electrical current (A), temperature (K), amount of substance (mol) and luminosity (cd). b) List out some derived quantities along with their respective units and symbols: c) Write out the units of a derived quantity in terms of the basic units. d) Name and write the prefixes used in SI along with its associated multiplication factor. e) Perform SI unit conversion involving scientific prefixes f) Perform conversion mass and length between SI and British units. g) Perform numerical estimation and orders-of-magnitude using back-of the envelope technique. h) State the importance of significant figures and relate it to measuring tools used to measure physical quantities. Examples of derived quantities include: velocity (m s - ), acceleration (m s - ), work (J), force (N), pressure (Pa), energy (J), power (W) and frequency (Hz). Common SI prefixes. Pico (p), nano (n), micro (µ), milli (m), centi (c), kilo (k), mega (m), giga (g) Examples of SI unit conversion include: km / h m / s 3 g / cm 3 kg / m 3 mm 3 m K o C Emphasize on units in numerical calculations. N - k g ms J - k g m s W = Js -3 k g m s a = Nm g m - s P - k Emphasize on units in numerical calculations. Show examples of unit conversion from SI to British units focusing on mass and length. PHY406 Page of 30

2 . Scalars and Vectors a) Define and compare between scalar quantities, vector quantities and unit vectors in Cartesian coordinate. b) List examples of scalar and vector quantities. c) Draw a vector diagram (a vector arrow) when the Cartesian coordinates are given. d) Draw a vector diagram when its magnitude and direction is specified. e) Write the magnitude and direction for any vector arrow. f) Draw the vector diagrams and write the resultant vector in Cartesian coordinates, when and 3 vectors are added. g) Draw the vector diagram and write the resultant vector in Cartesian coordinates when and 3 vectors are subtracted. h) Draw the vector diagrams and write the resultant vector when a vector is multiplied by an integer. i) Obtain the x and y components of any given vectors in terms of the magnitude of the vector and the angle the vector makes with the horizontal (x-axis). j) Obtain the magnitude of a resultant vector and the angle that the vector makes with the x-axis (its direction) and draw a vector diagram for the resultant vector. Use Unit vector : iˆ, ˆj and kˆ Best to draw vector diagrams using graph papers Begin with vectors along the x-axis and along the y-axis only. Use the directions North, South, East and West and adopt the counter-clockwise direction when specifying the angle a vector makes with the horizontal. Choose +x as East and +y as North. Limit to only D vectors Clearly identify the heads and tail of a vector arrow during adding and subtracting vectors. Use of simulation software such as the PhET developed by the Physics Education Technology, Univ. of Colorado is highly encouraged. php Limit to 4 vectors Revise Pythagoras theorem and related trigonometry c = a + b A x = A cos θ A y = A sin θ 3 PHY406 Page of 30

3 .0 KINEMATICS OF LINEAR MOTION At the end of this topic, students should be able to: 5. Linear motion a) Define and distinguish position, position change and displacement, b) Define and distinguish clock readings and time interval. c) Define and distinguish average speed, average velocity and instantaneous velocity. d) Define and distinguish average acceleration and instantaneous acceleration. e) Sketch a displacement versus time graph for a given event in one dimension. f) Explain the event represented in a displacement-time graph for a one dimensional motion. g) Sketch a velocity versus time graph for a given event in one dimension. h) Explain the event represented by a velocity-time graph for a one dimensional motion. i) Sketch an acceleration versus time graph for a given event in one dimension. j) Explain the event represented by an acceleration-time graph for a one dimensional motion. Consider only uniform acceleration. Note and write the units when finding the slopes and the area under a graph. PHY406 Page 3 of 30

4 k) Obtain the average speed from a displacement-time graph. l) Obtain the average acceleration and distance travelled from a velocity-time graph.. Uniformly accelerated motion and freely falling bodies a) Obtain the three equations for constant acceleration from the definitions of average acceleration, average speed and displacement (position change). b) State the variables represented by each of the symbol in the equations for constant acceleration. c) Identify the known and unknown quantities in a given event, select and use the most suitable equation to determine the unknown quantities for constant acceleration motion along the x-axis. Choose +x as East and +y as North The equation of motion is always given to the students: v = u + at ; v = u + as ; s = ut + at For vertical motion, use the magnitude of a to be the gravitational acceleration g with the value, g = 9. 8 ms d) Identify the known and unknown quantities in a given event, select and use the most suitable equation to determine the unknown quantities for constant acceleration motion along the y-axis..3 Projectile Motion a) Compare the time of flight, the range and the change in velocity for objects dropped from a certain height above ground level to the objects projected horizontally above ground level. b) Describe and discuss the motion of an object which is projected at an angle from the horizontal and under the influence of gravity in terms of the range, the velocity change, the acceleration, the maximum height and the time of flight. PHY406 Page 4 of 30

5 3.0 FORCE, MOMENTUM AND IMPULSE At the end of this topic, students should be able to: 7 3. Type of forces a) Name and describe the types of contact forces. b) Name, describe and compare force at a distance with contact forces. Contact forces: push, pull and friction forces. Inverse square law force: Gravitational Magnetic force, Electric force c) Describe the strong and weak nuclear forces and compare to the contact force and inverse square law force (force at a distance). 3. Newton s laws of motion a) State Newton s First Law of motion. 4 b) Define mass and inertia and relate it to the First Law. c) Define linear momentum and determine the momentum change of an object as a result of acceleration or deceleration. Momentum: p = mv d) State Newton s Second Law of motion and describe how this law is related to the change of momentum of an object. e) Draw a free body diagram for an object being pulled with a constant force on a frictionless plane and for an object being pulled on a rough surface along the x-axis and determine the net force and hence the object s acceleration. Newton s nd Law: a Fnet and a. m Emphasize on the change of momentum for constant mass. p = m v = m( v f v i ) Briefly discuss the force as the change of momentum PHY406 Page 5 of 30

6 f) Draw a free body diagram for an object being pulled with a constant force acting at an angle from the horizontal on a frictionless plane and for an object being pulled with a constant force acting at an angle from the horizontal on a rough surface and determine the net force and hence the object s acceleration. The force vectors must be discussed to show which of the components contribute to the horizontal acceleration and vertical acceleration. g) Draw a free body diagram for an object in an elevator which accelerates upwards (along +y) or accelerates downward and determine the normal force acting on. Discuss the impact of signs on both sides of the equation during acceleration upwards and acceleration downwards. h) Draw a free body diagram for an object which glides down a frictionless inclined plane and determine the net force on the object and its acceleration. i) Draw a free body diagram for an object which stays stationary on a rough inclined plane, state the conditions before gliding down the incline begins and determine the net force on the object and its acceleration after gliding starts. j) State and explain Newton s Third Law of motion. k) Draw a free body diagram and explain Newton s Third Law for an object at rest or moving at a constant speed. Show the use of trigonometry functions and Pythagoras theorem and the choice of a rotated axis in simplifying events for inclined plane. Explain, with example, the notion of action and reaction. Discuss some contextual or daily situations on the reality of the action-reaction phenomena. 3.3 Conservation of linear momentum and impulse a) State and explain the principle of conservation of linear momentum. b) Apply the principle of linear momentum conservation to an elastic and to an ineleastic collision in one-dimension. Limited to D collision only Momentum is conserved p = p f i c) Define impulse, relate it to the change of momentum and apply it to an elastic and to an inelastic collision of daily observable events. d) Determine impulse from an F-t graph. Impulse: J = Ft Contextual examples of impulse: tennis, karate, car collision with a tree compared to collision with paddy straws, etc. PHY406 Page 6 of 30

7 4.0 WORK & ENERGY At the end of this topic, students should be able to: 4 4. Work a) Define work done by a constant force and explain the use and the meaning of the dot product of two quantities.. W = F s Introduce the concept of dot product b) Determine the work done when an object is pulled by a constant force and compare it to the work done in pushing a wall. c) Compare and contrast the work done in pulling an object vertically up against the gravitational pull (gravitational force) to the work done by a force in displacing an object along a horizontal plane. d) Compare and contrast the work done in pulling an object up along a frictionless incline plane to pulling an object up along a rough-surfaced incline plane. e) Obtain the work done from a force-displacement graph. PHY406 Page 7 of 30

8 4. Energy a) Define gravitational potential energy and elastic potential energy for a spring. PE = mgh b) Determine the potential energy when an object is raised vertically up a distance h and compare this energy to the potential energy when an object is pulled up an incline plane to the same height h. c) Determine the potential energy when a mass attached to the end of a spring is horizontally pulled a distance x. d) Define kinetic energy and determine the kinetic energy of a mass which is horizontally displaced by a constant force and moving with a constant velocity. KE = mv e) Compare the kinetic energy of an object at rest and its kinetic energy after it falls vertically under the action of gravitational force. f) State the principle of mechanical energy conservation and apply it to an object falling from rest under the action of gravitational force. g) State the work-energy theorem and apply the theorem to an object brought to rest (decelerating) by a frictional force. h) Apply the work-energy theorem to an object which is raised from the ground against the gravitational force. Total mechanical energy, E = K + U. W = KE = m( v v ) AB f = PE = mg h W ( h ) AB f i i PHY406 Page 8 of 30

9 5.0 STATIC At the end of this topic, students should be able to: 3 5. Equilibrium of a particle a) State two types of equilibrium of a particle b) Write out the conditions for a particle to be in equilibrium. c) Apply the condition for equilibrium of particle to find the net force which keep a particle to be in equilibrium. Two types of equilibrium: i. static (v = 0) ii. dynamic (a = 0) Condition for equilibrium of a particle v v = 0 Fx 0, Fy = 0, F = 5. Equilibrium of a rigid body a) Write out the condition for equilibrium of rigid body. b) State the physical meaning of torque,τ. c) Apply the condition of equilibrium of a rigid body in keeping a rigid body to be in equilibrium. Condition for equilibrium of a rigid body r r r F 0, F 0 and τ = 0 x = y = Torque is agent of rotation. Introduce 3 examples: i. r perpendicular with F ii. r parallel with F iii. r at an angle with F (Use right hand rule to determine direction of rotation) No discussion on couple. Examples of problems : Fireman ladder leaning on a wall, see-saw, pivoted / suspended horizontal bar. Discuss the role of friction in causing a body to be in equilibrium. Sign convention for rotation: +ve : counter clockwise ve : clockwise 6.0 MECHANICAL PROPERTIES OF (SOLID) MATTER At the end of this topic, students should be able to: 3 PHY406 Page 9 of 30

10 6. Young s Modulus a) Define pressure. b) Define stress and strain for a stretched wire. c) Sketch and explain the graph of stress-strain. d) Distinguish between elastic and plastic deformation. e) Sketch F-e graph for elastic and ductile materials Cite formulae and units of stress, strain, Young's modulus F σ = [ Nm A ] ε = L L, o E = [ Nm, Identify stress-strain curves for different materials (Eg. :metal, rubber and ceramic) ε σ ] 3 f) Define and use Young s modulus g) Explain relationship between Young s modulus and Hooke s law Label yield point, ultimate tensile strength and breaking strength from stress/strain curve of aluminium. h) Define strain energy and obtain strain energy from the F- e and the stress-strain graphs. Define Young s modulus from stress/strain curve Relate Hooke s law of stress/strain curve σ = Eε with elastic region Determine the area below the elastic region U = σε 7.0 FLUID MECHANICS At the end of this topic, students should be able to: 4 PHY406 Page 0 of 30

11 7. (Properties of fluid) 7. Hydrostatic pressure a) List the characteristics of fluid. b) Discuss the net force on the body in the fluid c) Define and use P = ρgh At least 5 characteristics Density, relative density, specific gravity, surface tension F P = A d) Differentiate between gauge pressure and absolute pressure. e) Write and apply the relationship between atmospheric pressure, gauge pressure and absolute pressure. f) Discuss type of gauge pressure g) State and apply Pascal s law. Open tube and barometer F F = A A Example in disc brake & hydraulic jack. 7. Buoyancy a) State Archimedes principle b) Apply Archimedes principle to solve problem related to buoyancy Consider cases of partially and totally immersed object in liquid or air. 7.3 Fluid Dynamics & Viscosity a) Describe continuous flow and laminar flow. b) Define viscosity of fluids c) State Bernoulli s principle and write continuity equation. And relate to Newton s nd law. (Sum of forces is nonzero) d) Apply continuity and Bernoulli s equations for fluid flow in horizontal pipe. e) Explain and use Stokes law f) Sketch v t graph to explain terminal velocity. include Pitot tube and venturi meter No derivation Explain qualitatively the effect of temperature on viscosity. No derivation PHY406 Page of 30

12 8.0 TEMPERATURE AND HEAT TRANSFER At the end of this topic, students should be able to: 3 8. Heat and temperature a) Define and state the differences between temperature and heat. b) Define thermal equilibrium and state the Zeroth law of thermodynamics. c) Define absolute temperature and the triple point of water. d) Explain and use the relationship between temperature and thermometric quantity Illustrate phase diagram to explain triple point of water Scale for: Xθ X 0 X00 X 0 (i) Celsius temperature, θ = 00 C (ii) Absolute temperature PT T = 73.6 K P triple P : pressure PHY406 Page of 30

13 8. Heat Transfer a) With the aid of appropriate diagram explain the mechanism of heat transfer through solids for good heat conductor and good insulator. b) Define thermal conductivity and use the formula for one dimensional heat transfer. c) Describe using graphs heat conduction through insulated and noninsulated rods, and combination of rods in series. d) By using appropriate diagram explain qualitatively the mechanism of natural and forced convection. e) Explain the mechanism of heat transfer through radiation. dq Use dt dt = ka dx Maximum of two rods. Discuss Stefan Law 4 4 P = σε A( T ) T E 8.3 Thermal expansion a) Define and use the principle of linear, area and volume thermal expansion and deduce the relationship between the coefficients of expansion. Derive : β = α, γ = 3α Explain expansion of liquid in a container. TOPIC LEARNING OUTCOMES REMARKS HOUR 9.0 THERMODYNAMIC S At the end of this topic, students should be able to: PHY406 Page 3 of 30

14 9. First Law of Thermodynamics a) Explain internal energy of gas and relate the internal energy to the absolute temperature. Distinguish between thermodynamic work done on the system and work done by the external agent on the system. b) Define first law of thermodynamics c) Obtain the work done in a piston cylinder system. Q = U + W. Introduce the concept of Isothermal Isovolumetric, Isobaric and adiabatic. d) Sketch and interpret p-v graph for the following processes (i) Isothermal (T=constant, U= 0) (ii) Isovolumetric (V=constant, W = 0) (iii) Isobaric (P = constant) (iv) Adiabatic ( Q = 0) Q = W Q = U Q = U + W U = W Example: Compression and expansion of air in piston. Note that: Q = change in heat energy U = change in internal energy W = work done +W = Work done on the system Sign convention : + Q Q System W + W - W = Work done on the system + W = Work done by the system + Q = Heat into the system - Q = Heat out of the system PHY406 Page 4 of 30

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