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8 marksEffects of Forces

CAPE Physics Unit 1 · 2006 · Paper 2 · Question 4(a)(ii)

This question is about forces and motion.

Explain why a small sphere, released from rest at the surface to fall through liquid in a deep tank, eventually moves with a constant speed. Sketch a graph showing how the acceleration of the sphere varies with time after its release at the surface of the liquid.

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Other parts of this question

  1. 4(a)(i)State Newton's laws of motion.[8 marks]
  2. 4(b)The drag force acting on the balloon is given by F_D = (1/2)πr²ρv², where r is the radius of the balloon, ρ is the density of air, and v is the ascension speed…[1 mark]
  3. 4(b)(i)Draw a free body diagram to show the forces acting on the balloon.[12 marks]
  4. 4(b)(ii)a)Use Archimedes' principle to find the buoyant force acting on the balloon.[12 marks]
  5. 4(b)(ii)b)Calculate the terminal velocity of the balloon.[12 marks]
  6. 4(b)(ii)c)Find the time, in minutes, it will take for the balloon to ascend to a height of 10 km. (Density of air, ρ = 1.29 kg m⁻³.) (Volume of a sphere = (4/3)πr³.)[12 marks]

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