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Page 1 Forces and Matter ? Hooke’s Law ? Load is proportional to extension of a stretched spring ? ?x (extension) = stretched length - original length ? F = k?x ? F = force ? k = spring constant ? ?x = extension ? Spring constant ? Force/ extension ? S.I unit is N/m ? ? Parallel springs k = k1 + k2 ? ? Joined springs 1/k = 1/k1 + 1/k2 ? Force is directly proportional to extension ? Once spring loses elasticity and deforms, it doesn’t go back to original form ? Force applied per unit area is known as stress ? The extent of stretching/ compression produced as a material responds to stress is known as strain ? ? Extension F= kx ? ? Compression F = -kx (just a notation, not actually applied) ? Types of deformation ? Elastic deformation ¦ When the stress is removed the material returns to the dimension it had before the load was applied. Deformation is reversible ? Plastic deformation ¦ When large stress is applied to a material, when removed, the material does not spring back to the previous dimension. Permanent and irreversible deformation ? Minimal value of stress which produces plastic deformation is known as of the elastic limit material Page 2 Forces and Matter ? Hooke’s Law ? Load is proportional to extension of a stretched spring ? ?x (extension) = stretched length - original length ? F = k?x ? F = force ? k = spring constant ? ?x = extension ? Spring constant ? Force/ extension ? S.I unit is N/m ? ? Parallel springs k = k1 + k2 ? ? Joined springs 1/k = 1/k1 + 1/k2 ? Force is directly proportional to extension ? Once spring loses elasticity and deforms, it doesn’t go back to original form ? Force applied per unit area is known as stress ? The extent of stretching/ compression produced as a material responds to stress is known as strain ? ? Extension F= kx ? ? Compression F = -kx (just a notation, not actually applied) ? Types of deformation ? Elastic deformation ¦ When the stress is removed the material returns to the dimension it had before the load was applied. Deformation is reversible ? Plastic deformation ¦ When large stress is applied to a material, when removed, the material does not spring back to the previous dimension. Permanent and irreversible deformation ? Minimal value of stress which produces plastic deformation is known as of the elastic limit material Pressure ? Pressure = Force/ area ? S.I unit is N/m2 or Pascal(Pa) ? 1 N/m2 = 1 pascal ? Solids ? Pressure = Force/Area ? ? Less area More pressure ? Remember to always turn cm to m when finding pressure ? Liquids ? P = hdg ¦ h = height(metres) ¦ d = density(kg/m3) ¦ g = gravity(10N/kg on earth) ? Atmospheric pressure is the pressure exerted by air/ atmosphere ? Pressure caused by liquid = hdg ? Pressure in a liquid = pressure caused by liquid + Atmospheric pressure ? Relations ? Density is directly proportional to pressure ? Height is directly proportional to pressure ? Gravity is directly proportional to pressure Manometer ? An instrument used to measure the pressure between 2 gases or liquids. Its a U-shaped tube holding a small amount of liquid ? When both ends are open, the level of the liquid on either side is equal. ? If one end is connected to a gas supply, the gas pushes down on the liquid and forces it round the bend ? The levels are now unequal, showing that there is a pressure difference ? The greater the pressure, the further it is pushed ? When atmospheric pressure is greater than the gas supply, then it is known as suction ? Suction = atmospheric pressure - difference in height ? Gas supply = atmospheric pressure + difference in height Page 3 Forces and Matter ? Hooke’s Law ? Load is proportional to extension of a stretched spring ? ?x (extension) = stretched length - original length ? F = k?x ? F = force ? k = spring constant ? ?x = extension ? Spring constant ? Force/ extension ? S.I unit is N/m ? ? Parallel springs k = k1 + k2 ? ? Joined springs 1/k = 1/k1 + 1/k2 ? Force is directly proportional to extension ? Once spring loses elasticity and deforms, it doesn’t go back to original form ? Force applied per unit area is known as stress ? The extent of stretching/ compression produced as a material responds to stress is known as strain ? ? Extension F= kx ? ? Compression F = -kx (just a notation, not actually applied) ? Types of deformation ? Elastic deformation ¦ When the stress is removed the material returns to the dimension it had before the load was applied. Deformation is reversible ? Plastic deformation ¦ When large stress is applied to a material, when removed, the material does not spring back to the previous dimension. Permanent and irreversible deformation ? Minimal value of stress which produces plastic deformation is known as of the elastic limit material Pressure ? Pressure = Force/ area ? S.I unit is N/m2 or Pascal(Pa) ? 1 N/m2 = 1 pascal ? Solids ? Pressure = Force/Area ? ? Less area More pressure ? Remember to always turn cm to m when finding pressure ? Liquids ? P = hdg ¦ h = height(metres) ¦ d = density(kg/m3) ¦ g = gravity(10N/kg on earth) ? Atmospheric pressure is the pressure exerted by air/ atmosphere ? Pressure caused by liquid = hdg ? Pressure in a liquid = pressure caused by liquid + Atmospheric pressure ? Relations ? Density is directly proportional to pressure ? Height is directly proportional to pressure ? Gravity is directly proportional to pressure Manometer ? An instrument used to measure the pressure between 2 gases or liquids. Its a U-shaped tube holding a small amount of liquid ? When both ends are open, the level of the liquid on either side is equal. ? If one end is connected to a gas supply, the gas pushes down on the liquid and forces it round the bend ? The levels are now unequal, showing that there is a pressure difference ? The greater the pressure, the further it is pushed ? When atmospheric pressure is greater than the gas supply, then it is known as suction ? Suction = atmospheric pressure - difference in height ? Gas supply = atmospheric pressure + difference in height Barometer ? An instrument used to measure atmospheric pressure ? Consists of glass tube at least 80cm in length ? The tube is filled with mercury(Hg) and then carefully inverted into a trough containing mercury ? Once the tube is safely inverted, the level of the Hg in the glass tube drops ? Length of the Hg column is measured from the surface of the Hg in the trough is about 76cm ? The space above the Hg column is a vacuum ? As atmospheric pressure decreases, length BD decreases Both point J and K exert the same pressureRead More
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