Scholarship Physics , Edition: Fifth Edition by Michael Nelkon

By Michael Nelkon

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Point out carefully the sources of error in the experiment. What are the dimensions of G? Two lead spheres each of diameter 1 metre are placed with their centres 2 metres apart. If they are initially at rest, find the relative velocity with which they will come into contact, assuming that the only force acting on them is that of their mutual gravitational attraction. ) 19. State Newton's law of gravitation, and explain what is meant by the gravitational constant (G). Find an expression for the acceleration due to gravity (a) on the surface of a spherical planet of radius r and density p, (b) at a height h above its surface, (c) at a depth h below its surface.

The additional surface area of the tube covered by the liquid is then 2yrrx, where r is the capillary tube radius, and this is also the area by which the air-glass surface has been diminished.

0. 7r N 2E1* If the wire W has a circular cross-section, then I = na2 x a2/4 = na4/4. 2111 ■ IEna4' from which, knowing T, 1,, 1 and a, E can be calculated. *. 7t B (fixed) W (in torsion) (I) Ito. 21. Searle's method When A is suspended by the wire W, as shown in Fig. 21 (ii), it oscillates if slightly displaced and left. The period T, of the oscillations is given by / T1 =227 \ I – , where c = nGa4/21and /is c the moment of inertia of A about a vertical axis through its centre. 7r 211 NinGa4. Thus, knowing T1, 1, I and a, the modulus of rigidity, G, of W can be calculated.

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