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Verskeie opsies word as moontlike antwoorde vir die volgende vrae gegee - NSC Technical Sciences - Question 1 - 2024 - Paper 1

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Verskeie opsies word as moontlike antwoorde vir die volgende vrae gegee. Kies die antwoord en skryf die letter (A-D) langs die vraagnommers (1.1 tot 1.10) in die AAN... show full transcript

Worked Solution & Example Answer:Verskeie opsies word as moontlike antwoorde vir die volgende vrae gegee - NSC Technical Sciences - Question 1 - 2024 - Paper 1

Step 1

Watter EEN van die volgende is KORREK oor die groottes van F₁ en F₂?

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Answer

In this scenario, we analyze the forces acting on a mass in horizontal motion on a frictionless surface. Since the crate is moving to the right, it indicates that the net force acting on it is in the same direction. According to Newton's second law, if the crate accelerates, the force that is causing this acceleration must be greater than any opposing forces (which in this case is zero due to the frictionless surface).

Let’s denote the larger force as F₂ and the smaller force as F₁. For the crate to move to the right, the net force (F₂ - F₁) must result in a positive acceleration.

Since no opposing forces are acting on the box, it can be concluded that:

  • If F₁ is equal to F₂ (Option A), there would be no net acceleration (the box wouldn’t move), which contradicts the given information.
  • If F₂ is less than F₁ (Option B), the net force would also be negative, which is again inconsistent with the motion towards the right.
  • If F₁ is greater than F₂ (Option C), the net force would be negative (motion towards the left) which also contradicts the scenario.
  • Therefore, the only logical conclusion is that the force F₂ must be greater than the force F₁, leading us to conclude that F₂ = 2F₁ (Option D) is the correct answer, as it can result in a rightward acceleration of the crate.

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