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1741

(a) Define Young modulus of elasticity;

(b) A spiral spring extends from a length of 10.0 cm to 10.01 cm when a force of 20 N is applied on it. Calculate the force constant of the spring.

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1742

(a) Define elastic limit

(b) State Hookes laws of elasticity

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1743

(a) Define surface tension

(b) State two methods by which the surface tension of a liquid can be reduced

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1744

Using the kinetic theory of matter, explain the definite structure of solids.

 

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1745

(a) Sketch a diagram of a simple pendulum performing simple harmonic motion and indicate positions of maximum potential energy and kinetic energy.

(b) A body moving with simple harmonic motion in a straight line has velocity, v and acceleration, a, when the instantaneous displacement, x in cm, from its maximum position is given by x = 2.5 sin 0.4 \(\pi t\), where t is in seconds. Determine the magnitude of the maximum (i) veloxity; (ii) acceleration

(c) A mass m attached to a light spiral is caused to perform simple harmonic motion of frequency

f = \(\frac{1}{2 \pi} \sqrt{\frac{k}{m}}\), where k is the force constant of the spring.

(i) Explain the physical significance of \(\sqrt{\frac{k}{m}}\).

(ii) If m = 0.30 kg, k = 30Nm\(^{-1}\) and the maximum position is 0.015m, calculate the maximum;

(i) kinetic energy

(ii) tension in the spring during the motion [g = 10 ms\(^{-1}\), \(\pi\) = 3.142]

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