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Form IV
Physics Workshop
May 2013
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Programme
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Physics
Electric circuits
Optics &
WavesMechanics
Click a link
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Friction
The force that opposes the motion of an
object and acts parallel to the surface the
object is in contact with
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Normal Force
The force exerted by a surface on an object in
contact with it.
The normal force acts perpendicular to the
surface irrespective of whether the plane is
horizontal or inclined
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Forces
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Fg
FN
FappliedFFriction
T
Fg
Fg
FN Fapplied
FFriction
Fx= Fappcos
Fy= Fappsin
Fg
FN
F||= mgsinF|= mgcos
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Free body diagrams
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Fg
FN
FappliedFFriction
T
Fg
Fg
FNFapplied
FFriction Fx= Fappcos
Fy= Fappsin
Fg
FN
F||= mgsinF|= mgcos
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Newtons Laws
Newton I:A body will remain at rest or continuemoving at a constant velocity in a straight line
unless acted upon by an external net force
Newton II:The acceleration of a body is directly
proportional to the net force acting on the bodyand inversely proportional to the mass of the
body (Fnet=ma)
Newton III: If object A exerts a force on object B,then object B will exert an equal but oppositeforce on object A (action-reaction pairs)
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Single object on a flat surface
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Fg
3 kg
FN
FappliedFFriction=10 N
=5 N
Calculate the objects acceleration:Fnet= ma (Newton II)
Fnet= FappliedFfrictionma = FappliedFfriction3a = 105a = 1,67 m.s-2to the right
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Force at an angle
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Calculate the objects acceleration:F
net
= ma (Newton II)
Fnet= Fappliedcos 20oFfriction
ma = Fappliedcos 20oFfriction
3a = 10 cos 20o5 = 9,4 - 5
a = 1,47 m.s-2
to the right
3 kg
Fg
FN Fapplied
FFriction
=10 N
=5 N= 20o
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Hanging from a rope moving down
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T = 22 N
Fg= 19,6N
Calculate the objects acceleration:Fnet= ma (Newton II)
Fnet= Fg -T
ma = Fg -T2a = 19,622 = -1,2 m.s-2
a = 1,2 m.s-2upwards
2 kg
NBif the object is moving upwards, it is accelerating.- if the object is moving downwards, it is decelerating!!
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Two bodies
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3 kg5 kgF app= 50 N
F friction= 6N F friction= 10 N
Free body diagrams
T Ffriction
T
Ffriction
F app= 50 N
Fnet= FappTFfrictionFnet= ma (NII)
ma = FappTFfriction3a = 50T6T = 5063a
Fnet = TFfrictionFnet= ma (NII)
ma = TFfriction5a = T10T = 5a + 10
5063a = 5a + 10 -> a = 4,25 m.s-2to the left
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Two bodies
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Free body diagramsT2
Fg
T1Ffriction= 1 N
Fnet= T1FfrictionFnet= ma (NII)
ma = T1Ffriction3a = T11T1= 3a - 1
Fnet = FgT2Fnet= ma (NII)
ma = FgT21a = 9,8T2T2= 9,8 -1a
But, T1= T2(By NIII)
3a1 = 9,8 - a -> a = 2,7 m.s-2
3 kg
1 kg
F friction= 1N
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Object on a plane
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No frictionit will slide down the planeFnet= mgsinFnet= ma5a = (5)(9,8)(sin 20o)
a = 3,35 m.s-2down the slope
=20o
Fg
FN
F||= mgsinF|= mgcos
5 kg object
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Object on a plane
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Frictionobject is standing still / moving at constant v(down the plane)
Fnet= F up plane - F down plane = 0 (Newton I ->constant velocity)
Fnet= Ffrictionmgsin= 0Ffriction= (5)(9,8)(sin20
o) = 16,76 N up the plane
Fg
FN
F||= mgsinF|= mgcos
5 kg object
Ffriction= ???
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Object on a plane
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Friction + ropeobject is standing still / moving at constant v(down the plane)
Fnet= 0; F up plane = Frope+ Ffriction
F down plane = mgsinFrope+ Ffriction= mg sin10 N + Ffriction= (5)(9,8)(sin 20
o)
Ffriction= 6,76 N up the plane
Fg
FN
F||= mgsinF|= mgcos
5 kg object
Ffriction= ???Frope= 10N
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Newton III
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Current electricityCheat Sheet
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Current electricity - Examples
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Current electricity - Examples
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Current electricity - Examples
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In the circuit diagram below, the battery has an emf of 12V and an internal
resistance of 0,8 . The resistance of the ammeter and connecting wires may beignored.
Calculate the:
1. Effective resistance of the circuit
2. Reading on the ammeter
3. Reading on the voltmeter
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Current electricity - Examples
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Current electricity - Solution
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Geometrical Optics Revision: explain reflection
Revision: State the law of reflection
Define the speed of light as being constant when passing through agiven medium and having a maximum value of c = 3 x 108m.s-1in avacuum.
Define refraction
Define refractive index as n=c/v
Define optical density
Know that the refractive index is related to the optical density.
Explain that refraction occurs because of a change of wave speed indifferent media, while the frequency remains constant
Define normal; angle of incidence; angle of refraction
Sketch ray diagrams to show the path of a light ray throughdifferent media
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Geometrical Optics
State the relationship between the angles of
incidence and refraction and the refractiveindices of the media when light passes from onemedium into another (Snells Law)
Apply Snells Law to problems involving light rayspassing from one medium into another
Draw ray diagrams showing the path of light
when it travels from a medium with higherrefractive index to one of lower refractive indexand vice versa
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Snells Law
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Snells Law
A light ray with an angle of incidence of 35
passes from water to air. Find the angle ofrefraction using Snells Law if nwater= 1,33.
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Snells Law
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Geometrical Optics
Explain the concept of critical angle
List the conditions required for total internal
reflection
Use Snells Law to calculate the critical angleat the surface between a given pair of media
Explain the use of optical fibres in endoscopes
and telecommunications
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Critical angle
The critical angle is the angle of incidence for
light moving from an optically more dense toan optically less dense medium above which
total internal reflection occurs.
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Optically more dense
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Total Internal Reflection
Total internal reflection takes place when light
travels from one medium to another of loweroptical density. If the angle of incidence is
greater than the critical angle for the medium,
the light will be reflected back into themedium. No refraction takes place.
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Finding the Critical Angle
Given that the refractive indices of air and
water are 1,00 and 1,33 respectively, find thecritical angle.
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2D and 3D Wavefronts
Define a wavefront as an imaginary line that connects
waves that are in phase (e.g. all at the crest of theircycle)
State Huygensprinciple. Define diffraction as the ability of a wave to spread out
in wavefronts as they pass through a small aperture or
around a sharp edge. Diffraction demonstrates thewave nature of light.
Apply Huygensprinciple to explain diffractionqualitatively. Light and dark areas can be described in
terms of constructive and destructive interference ofsecondary wavelets
Sketch the diffraction pattern for a single slit
Understand that
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Diffraction
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How is diffraction explained?
Diffraction can be explained through Huygens
Principle Huygens Principle:Every point on a wavefront is a
centre of disturbance that sends out circular
secondary wavelets. Superposition of these
secondary wavelets
determines the position
of the wavefront at a
later time
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Single Slit Diffraction
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Finished
Rememberthis has been a summary2hours is not enough time to study!
You need to work through all your notes;
tutorials and old exam paperstutorials.
Good luck!
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