2024 Physical Sciences Gr 11 Informal Test 1 ( Vectors in Two Dimension and Newtons Laws) f-1

Page 1: Exam Overview

• Marks: 50

• Duration: 1 hour

• Content: 8 pages including cover

• Subject: Physical Sciences, Grade 11

• Date: 12 February 2024

• Type: Informal Test 1

Page 2: Instructions and Information

• The question paper comprises 4 questions.

• Answer all questions in the provided answer book.

• Use the numbering system as indicated in the question paper.

• Tools allowed:

  • Non-programmable calculator

  • Appropriate mathematical instruments

• Utilize the attached data sheets for assistance.

• Document all formulae and substitutions in calculations.

• Round off final answers to two decimal places.

• Provide brief motivations/discussions where necessary.

• Maintain neat and legible handwriting.

Page 3: Question 1 - Multiple Choice Questions

• This section consists of multiple options. Write the correct letter (A-D) next to each question.

• 1.1: Resultant of all forces is zero if the body is:

  • Choices: A. Falling freely, B. Accelerating, C. Circular path, D. Constant velocity

• 1.2: Object on a string at rest with horizontal force applied:

  • Formula options: A. F + T + W = 0, B. T² = W² + F², C. W = Tcos𝜃, D. tan 𝜃 = F/T

• 1.3: Newton’s Third Law applies to:

  • Choices: A. Rest, B. Constant velocity, C. Two objects exerting forces on each other, D. Different forces

• 1.4: Gravitational force F on a satellite changes if distance from Earth doubles:

  • Choices: A. ¼ F, B. ½ F, C. 4F, D. 2F

Page 4: Question 2 - Forces Acting on Point O

• Forces: T, W, F, magnitudes 500 N, 200 N, 300 N.

• 2.1: Reason for classifying T, W, and F as vectors. (2 marks)

• 2.2: Calculate the magnitude and direction of the resultant force. (8 marks)

Page 5: Question 3 - Blocks P and Q

• Masses: Block P = 5 kg, Block Q = 2 kg

• A constant force F at an angle of 30° to the horizontal.

• 3.1: State Newton's First Law of Motion in words (2 marks).

• 3.2: Draw a free-body diagram for block P (3 marks).

• Frictional forces: Block P (2.5 N), Block Q (1 N)

• 3.3: Calculate the magnitude of force F (6 marks).

Page 6: Question 4 - Skier on a Slope

• Skier's initial condition: at rest, descending a 30° slope.

• Coefficient of kinetic friction (μK): 0.10

• 4.1: State Newton's Second Law of Motion in terms of acceleration (2 marks).

• 4.2: Draw a free-body diagram for the skier (3 marks).

• 4.3: Calculate skier's acceleration down the slope (4 marks).

• 4.4: Calculate skier's velocity after 4.0 seconds (3 marks).

Page 7: Question 5 - Gravitational Forces

• Two objects, 75 mm apart, masses 1.8 kg and 3.2 kg.

• 5.1: Explain inverse square law in Newton’s Law of Universal Gravitation (2 marks).

• 5.2: Calculate the gravitational force between the two masses (4 marks).

• Astronomer's gravitational force at different points:

  • Point A: 200 N, B: 100 N, C: 400 N, D: 150 N

• 5.3.1: Identify point furthest away from Earth (1 mark).

• 5.3.2: Identify point on Earth (1 mark).

• 5.3.3: Identify point where weight is half (1 mark).

Page 8: End of Paper

• Paper concludes here. Ensure all pages are reviewed and answer all questions in the answer book.