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Mechanics "Proof" Exercises Question 1
| A body, of mass m, is moving in a circular path of radius r. The centripetal force acting on it is Fc. Show that the rotational frequency of the motion is given by |
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Question 2
| A piece of metal is given an initial kinetic energy, K, near the bottom of a plane inclined at q degrees to the horizontal. The coefficient of dynamic friction between the metal and the inclined plane is µ. |
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| The centre of gravity of the piece of metal moves through a vertical distance, h, before coming to rest. Using the principle of conservation of energy, show that the relation between h and K is |
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Question 3
| An apple falls from a height, h, on to the head of a typical I.B. student. Show that the change in I.Q. experienced by the student, as a result of the collision, is given, approximately, by |
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© David Hoult 2008 |
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