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7 marksEffects of Forces

CAPE Physics Unit 1 · 2006 · Paper 2 · Question 5(b)(ii)

The speed of the ball is slowly increased. The string breaks if the tension in it exceeds a critical value, T_max.

Show that when this critical value is reached the angular speed of the ball is given by ω = sqrt((T_max - mg)/(ml)).

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Other parts of this question

  1. 5(a)A mass, m, moves with constant linear speed, v, in a circle of radius r. Show that the magnitude of the acceleration, a, of the mass is given by a = v²/r.[6 marks]
  2. 5(b)(i)Draw diagrams showing the forces acting on the ball when it is (a) at the top and (b) at the bottom of the circle.[7 marks]
  3. 5(b)(iii)Calculate the critical value, T_max.[7 marks]
  4. 5(c)(i)With the aid of a sketch, describe the motion of the ball after the string breaks at the lowest point of the circle.[7 marks]
  5. 5(c)(ii)a)Calculate the lateral distance the ball travelled during this time.[7 marks]
  6. 5(c)(ii)b)Calculate the vertical velocity of the ball just before it strikes the ground.[7 marks]

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