Grade 11 Technical Sciences Paper 1 Exemplary 2017

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Questions and Answers

What is the value of acceleration due to gravity?

  • 9.5 m·s-2
  • 9.8 m·s-2 (correct)
  • 8.9 m·s-2
  • 10 m·s-2

The formula for kinetic energy is given by E K = mv.

False (B)

What does the symbol 'e' represent in the context of electrical charge?

-1.6 x 10^-19 C

The formula for calculating force is ______.

<p>F = ma</p> Signup and view all the answers

What is the equation for potential energy due to gravity?

<p>E p = mgh (D)</p> Signup and view all the answers

Match the following forces with their corresponding equations:

<p>Force of gravity = F g = mg Net force = F net = ma Frictional force = f s(max) = μsN Kinetic friction = f k = μkN</p> Signup and view all the answers

In a series circuit, the total resistance is the sum of individual resistances.

<p>True (A)</p> Signup and view all the answers

What does 'I' represent in the formula I = Q/Δt?

<p>Current</p> Signup and view all the answers

What is the SI-unit for force?

<p>Newton (B)</p> Signup and view all the answers

What does the y-axis on the Cartesian plane represent?

<p>Vertical component (C)</p> Signup and view all the answers

The data sheet provided in the examination can be used for all calculations.

<p>True (A)</p> Signup and view all the answers

What is the maximum number of pages in this question paper?

<p>17</p> Signup and view all the answers

You are allowed to use a _____ calculator during the examination.

<p>non-programmable</p> Signup and view all the answers

Match the following components to their descriptions:

<p>SI-unit = Standard measurement system Cartesian plane = Two-dimensional coordinate system Force = Push or pull on an object Vector = Quantity having both magnitude and direction</p> Signup and view all the answers

What is required after showing all formulae in calculations?

<p>Round off final answers to a minimum of two decimal places (A)</p> Signup and view all the answers

List one instruction provided to students regarding answer presentation.

<p>Write neatly and legibly.</p> Signup and view all the answers

What does equally spaced parallel field lines indicate?

<p>The electric field is strong and uniform (D)</p> Signup and view all the answers

The internal resistance of the 6 V battery is considered negligible in the circuit.

<p>True (A)</p> Signup and view all the answers

What is Ohm's law stated in words?

<p>The current through a conductor is directly proportional to the voltage across it, provided the temperature remains constant.</p> Signup and view all the answers

The resistance connected in parallel with the 4 Ω resistor is __.

<p>2 Ω</p> Signup and view all the answers

Match the following components to their properties in the circuit:

<p>4 Ω resistor = In series with the battery 2 Ω resistor = In parallel with the 4 Ω resistor Voltmeter reading = Shows voltage across the resistors Switch S = Controls the flow of current</p> Signup and view all the answers

If the current in the 8 Ω resistor is 0.6 A, what is the voltage drop across it?

<p>4.8 V (C)</p> Signup and view all the answers

The 4 Ω resistor gets warmer than the 6 Ω resistor due to higher resistance.

<p>False (B)</p> Signup and view all the answers

Why does the voltmeter reading decrease when switch S is closed?

<p>Current flows through the resistors, causing voltage drop across them.</p> Signup and view all the answers

What is the longest side of the triangle opposite the right angle called?

<p>hypotenuse (A)</p> Signup and view all the answers

Frictional force is a non-contact force.

<p>False (B)</p> Signup and view all the answers

What type of material will be attracted by a magnet?

<p>metal rod</p> Signup and view all the answers

When the distance between two charges is halved, the new magnitude of the electrostatic force is ________.

<p>4F</p> Signup and view all the answers

Which statement about frictional force is NOT correct?

<p>It is a non-contact force. (C)</p> Signup and view all the answers

The charge on plate P in an electric field between oppositely charged plates is negative.

<p>False (B)</p> Signup and view all the answers

Match the electrostatic force quality with its relation to distance between charges:

<p>Halved distance = Force increases four times Doubled distance = Force decreases to one-fourth Tripled distance = Force decreases to one-ninth Unchanged distance = Force stays the same</p> Signup and view all the answers

What will be the electrostatic force between two charges if the distance is halved?

<p>4F</p> Signup and view all the answers

What is the length of the ladder if its top rests 4 meters above the ground and the base is 1 meter away from the wall?

<p>4.24 meters (A)</p> Signup and view all the answers

Static friction increases as the applied force exceeds the maximum static frictional force.

<p>False (B)</p> Signup and view all the answers

What is the horizontal component of a 60 N force exerted at a 40-degree angle with the horizontal?

<p>45.96 N</p> Signup and view all the answers

The coefficient of static friction ( extit{µs}) for the box is ______.

<p>0.35</p> Signup and view all the answers

Match the following forces with their components:

<p>60 N force = Opposite angle to the horizontal Resultant force = Combined effect of multiple forces Static friction = Force opposing the start of movement Applied force = Force exerted by the learner to push the box</p> Signup and view all the answers

What is the vertical component of a 60 N force exerted at a 40-degree angle with the horizontal?

<p>23.09 N (C)</p> Signup and view all the answers

The maximum static frictional force can be calculated using the equation: $f_{s,max} = \mu_s \cdot N$.

<p>True (A)</p> Signup and view all the answers

Define frictional force.

<p>Frictional force is a force that opposes the relative motion of solid surfaces, fluid layers, or material elements sliding against each other.</p> Signup and view all the answers

Which statement is true regarding the potentials at points 1, 2, 3, and 4?

<p>A positive charge is at a higher potential at point 2 than at point 3. (A), A positive and a negative charge is at a higher potential at point 1 than at point 4. (B)</p> Signup and view all the answers

What is the unit of measurement for the rate of flow of charge in a conductor?

<p>Ampere (B)</p> Signup and view all the answers

The magnitude of the electric field at point P will be E at a distance x from the positive plate of a parallel plate capacitor.

<p>False (B)</p> Signup and view all the answers

If the electric field at point P is E, what would be the electric field at a distance 2x from the positive plate?

<p>½E (D)</p> Signup and view all the answers

Define the term 'resultant'.

<p>The resultant is the vector that results from adding two or more vectors together.</p> Signup and view all the answers

Siya walks 6 metres in an easterly direction and then 5 metres north. His total displacement is _____ metres.

<p>7.81</p> Signup and view all the answers

Calculate the total vector if two forces, of 100 N and 80 N, are acting on an object at right angles.

<p>The total vector is approximately 122.47 N.</p> Signup and view all the answers

Match the following terms with their definitions:

<p>Ampere = Rate of flow of charge Electric Field = Force per unit charge Coulomb = Unit of charge Volt = Unit of electric potential</p> Signup and view all the answers

Flashcards

SI unit for force

The standard international unit for force.

Y-axis

The vertical axis on a graph.

Vectors

Quantities with both magnitude and direction.

Pound

A unit of mass, commonly used in the US and UK.

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Kilogram

A unit of mass, typically used in metric system.

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Ton

A unit of mass, often used for very large weights.

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X-axis

The horizontal axis on a graph.

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Straight-line component

The component of a vector that lies along the straight line.

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Hypotenuse

The longest side of a right triangle, opposite the right angle.

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Frictional force

A force that opposes motion or attempted motion between two surfaces in contact.

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Magnetic Material

A material that is attracted by a magnet.

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Electrostatic Force

The force between two charged objects.

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Inverse Square Law

The force between two charged objects doubles if the distance between them is halved.

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Electric Field

The region around a charged object where another charged object would experience a force.

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Electric Potential

The amount of potential energy per unit charge at a point in an electric field.

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Electric Potential and Distance

A positive charge will have a higher potential in an electric field when it is further away from the positive plate.

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Resultant force

The overall force that results from the combination of two or more forces acting on an object.

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What is potential difference?

The difference in electrical potential energy per unit charge between two points in an electric field.

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What is the unit for electric current?

The rate at which electric charge flows through a conductor.

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How does the electric field strength change with distance?

The electric field strength is inversely proportional to the square of the distance from the source charge.

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What does a capacitor do?

A device that stores electrical energy in an electric field.

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What is the unit for potential difference?

The unit of measurement for electric potential difference.

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What is the unit for electric charge?

The unit of measurement for electric charge.

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What is Newton's second law of motion?

The net force acting on an object is equal to the mass of the object multiplied by its acceleration.

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Maximum static frictional force

The maximum force that can be applied before an object starts to move.

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Coefficient of static friction

The value used to calculate maximum static friction and is determined by the materials of the surfaces in contact.

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Parallelogram of forces

The representation of multiple forces acting on an object using arrows to depict the direction and magnitude of each force.

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Horizontal component of a force

The component of a force that acts horizontally, influencing the motion of an object in the left-right direction.

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Vertical component of a force

The component of a force that acts vertically, influencing the motion of an object in the up-down direction.

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Head-to-tail method

A method used to visually determine the magnitude and direction of an object's displacement based on its starting and ending positions.

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What does equally spaced, parallel field lines imply?

The electric field is uniform, meaning the field lines are parallel and spaced equally.

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What is Ohm's law?

Ohm's law states that the current (I) flowing through a conductor is directly proportional to the voltage (V) applied across its ends, and inversely proportional to the resistance (R) of the conductor.

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What is the current through the 4 Ω resistor?

The current passing through the 4 Ω resistor is calculated using Ohm's law: I = V/R = 12 V / 4 Ω = 3 A.

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What is the total current in the circuit?

The total current in the circuit is the sum of the currents through the 4 Ω and 8 Ω resistors: 3 A + 0.6 A = 3.6 A.

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What is the value of resistance X?

The resistance X can be calculated using the total current and the voltage across the battery: R = V/I = 12 V / 3.6 A = 3.33 Ω.

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Why does the 4 Ω resistor get warmer?

The 4 Ω resistor gets warmer because it has a higher resistance than the 6 Ω resistor. This means that the 4 Ω resistor dissipates more power (P = I²R) as heat energy.

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Why does the voltmeter reading decrease when the switch is closed?

The voltmeter reading decreases when the switch is closed because the voltage across the 4 Ω resistor drops due to the parallel connection of the 2 Ω resistor. The voltage is shared between the two parallel resistors.

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Gravitational Force

The force of attraction between any two objects with mass.

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Normal Force

The force exerted by a surface on an object resting on it, acting perpendicular to the surface.

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Friction

The force that opposes the motion of an object when it moves across a surface.

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Fluid Resistance

The force that arises when a body is in contact with a fluid (liquid or gas).

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Applied Force

A force that is applied to an object, causing it to move or accelerate.

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Acceleration

The rate of change of an object's velocity.

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Net Force

The total force acting on an object, calculated as the vector sum of all individual forces.

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Displacement

The change in an object's position relative to a reference point.

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Study Notes

National Senior Certificate

  • Grade 11 Technical Sciences: Paper 1
  • Examplar 2017

Instructions and Information

  • Answer all eight questions in the answer book
  • Start each question on a new page
  • Number answers according to the paper's numbering system
  • Leave one line between sub-questions
  • A non-programmable calculator can be used
  • Appropriate mathematical instruments may be used
  • Use the attached data sheet
  • Show all formulae and substitutions in calculations
  • Round final answers to at least two decimal places
  • Give brief motivations, discussions, etc., where needed
  • Write neatly and legibly

Question 1: Multiple Choice Questions

  • Answer all multiple-choice questions (1.1-1.10) in the answer book.
  • Choose the correct answer (A-D) and mark an X over the corresponding letter.
  • Example:
    • 1.11: A B C D (mark an X over the correct letter)
  • The SI unit for force is the Newton (1.1)
  • The y-axis on a Cartesian plane represents the vertical component (1.2)
  • Vectors are represented by the symbol V (or a bold letter) (1.3)
  • The longest side of a right-angled triangle opposite the right angle is called the hypotenuse (1.4)
  • Frictional force is dependent on the normal force and opposes motion (1.5)
  • A piece of metal is attracted to a magnet (1.6)
  • Halving the distance between two charged spheres quadruples the electrostatic force between them (1.7)
  • Positive charge at a higher potential at point 2 than at point 3 (1.8)
  • The unit of flow of charge is the ampere (1.9)
  • At a distance x from the positive plate of a capacitor, the electric field is E. At a distance -x from the positive plate the electric field will be E (1.10)

Question 2:

  • 2.1 Define the term resultant.
  • 2.2 Label the parts A, B, and C of the diagram.
  • 2.3 Calculate the total force if two forces of 100N and 80N are exerted on an object.
  • 2.4 Calculate and graphically determine the direction of displacement for a person walking 6 meters east and then 5 meters north.

Question 3:

  • 3.1 Graphically determine the magnitude and direction of the resultant force using a scale of 1mm = 5N.
  • 3.2.1 Calculate the horizontal component of a 60N force exerted at a 40-degree angle to the horizontal.
  • 3.2.2 Calculate the vertical component of the 60N force exerted at a 40-degree angle to the horizontal.
  • 3.2.3 Graphically show the horizontal and vertical components.

Question 4:

  • 4.1 Define frictional force.
  • 4.2 Calculate the maximum static frictional force for a 3kg box on a table pushed with 50N force to the right given µs = 0.35.
  • 4.3 Draw a free body diagram for the box indicating all forces
  • 4.4 Calculate the kinetic frictional force given that kinetic friction is 40% of the normal force.

Question 5:

  • 5.1 Define the term magnetic field.
  • 5.2.1 Identify three mistakes in a learner's diagram of a magnetic field.
  • 5.2.2 Name the device used to determine the magnetic field direction.
  • 5.2.3 Draw a sketch of a broken bar magnet, showing poles.
  • 5.3 Describe why the aurora borealis is visible near the North Pole and how it's formed.
  • 5.4 Compare Earth's magnetic field with a bar magnet's.
  • 5.5 Explain why Earth's magnetic field is important.

Question 6:

  • 6.1 Sketch the electric field pattern around a +3 × 10⁻⁹ C charged sphere.
  • 6.2 State Coulomb's law in words.
  • 6.3 Calculate the electrostatic force between a +3 × 10⁻⁹ C charged sphere and a -2 × 10⁻⁹ C charged sphere separated by 5 cm.
  • 6.4.1 Define electric field at a point.
  • 6.4.2 Draw the electric field pattern between two oppositely charged particles.
  • 6.4.3 Calculate the net electric field strength at point P due to two charges (X and Y).
  • 6.4.4 Calculate the magnitude and direction of the electrostatic force on an electron if placed at point P.

Question 7:

  • 7.1 Redraw the diagram of parallel plates and indicate the direction of electric field lines.
  • 7.2 Explain the implications of parallel and equally spaced electric field lines.
  • 7.3 Calculate the electric field between two parallel plates with a 12 V power source and 16 cm separation.

Question 8:

  • 8.1 State Ohm's law in words.
  • 8.2.1 Calculate the current through the 4Ω resistor.
  • 8.2.2 Calculate the total current in the circuit.
  • 8.2.3 Calculate resistance X.
  • 8.3 Explain why the 4Ω resistor gets warmer than the 6Ω resistor.

Question 9:

  • 9.1 Why does the voltmeter reading decrease when switch S is closed? (brief explanation)
  • 9.2.1 Calculate the current in the 2Ω resistor.
  • 9.2.2 Calculate the reading on the ammeter.

Question 10:

  • 10.1 Which value is the dependent variable in the graph?
  • 10.2.1 Locate the point on the graph where Ohm's Law is no longer obeyed.
  • 10.2.2 Describe a possible reason for the deviation from Ohm's Law.
  • 10.3 Calculate the gradient of the obeyed portion of the graph, and use it to calculate the resistance of the conducting wire.

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