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Hooke's Law. When an elastic object - such as a spring - is stretched, the increased length is called its extension. The extension of an elastic object is directly proportional to the force applied to it: F = k Ã e. F is the force in newtons, N. k is the 'spring constant' in newtons per metre, N/m. e is the extension in metres, m.
Mathematically, Boyle's law can be stated as. or. where P is the pressure of the gas, V is the volume of the gas, and k is a constant. The equation states that product of pressure and volume is a constant for a given mass of confined gas as long as the temperature is constant.he mathematical equation for Boyle's law is: where: 1  P denotes the pressure of the system. 2  V denotes the volume of the gas. 3  k is a constant value representative of the pressure and volume of the system.