Work and Machines Machines make work easier (lessen the force) Machines DO NOT DO MORE WORK (less work out of a machine than in due to friction) Total work does not change n n WORK AND FORCE ARE NOT THE SAME THING! Work = Force X Distance Force and distance have an inverse (opposite) relationship n If a machine allows you to apply a smaller force the distance will increase n If a machine reduces the distance the force will increase n If a machine allows you to apply a force in a different direction it doesn’t change how much force you have to apply or how far you move it Machine – n a device that helps do work by either: n changing the size (amount) of force n distance of a force n changing the direction of the force Making work easier n Machines n Change the amount of force you exert and the distance the force is exerted output force Input force 10 N 5N n Do NOT lessen the amount of work done on the object, it makes it easier for the person to do the work 1 n Making work easier Work Input Machines n The n n W Change the direction in which you exert force 50N , 3 m Input work done on a machine =Fxd force 50N , 3 m n Output force They do NOT lessen the amount of work done,it changes the direction of the force applied Work Output Mechanical advantage n The n n W work done by a machine =Fxd n n n n n The number of times a machine multiplies the force Mechanical ad. = Output force Input force If M.A. > 1 the machine output force is greater than the input force – helpful for lifting heavy objects If M.A. < 1 the machine reduces output force but distance increases (fishing pole) If MA = 1 the direction of the force changes MA tells you how much easier the machine makes the work! (also can be the force of the load you are lifting) 2 Calculating Mechanical Advantage Problem Write the equation n A n MA Fill in the values from the problem Solve the problem mover uses a handcart to lift a refrigerator. He applies an input force of 50 N. The handcart applies an output force of 350N on the refrigerator. What is the mechanical advantage of the handcart? n MA = 350 N 50 N n = Output force Input force MA = 350 N 50 N MA = 7 n n The output force of the handcart is 7 times the input force of the man It is 7 times easier for the man to do the work with the cart 3 Efficiency n Efficiency compares the output work to the input work (%) Machines are not 100% efficient because of friction n Friction • A force that opposes motion – will slow machines down • Occurs when 2 surfaces touch or rub against each other Cannot be greater than 100%(no ideal machine) n Equation = work output/work input X 100 n • May cause heating of machine The less work that the machine has to do to overcome friction, the more efficient it is n Work output is always less than work input n • No work is lost • Work output + work to overcome friction = work input There can’t be an ideal machine Mechanical Efficiency n An n Calculated ideal machine would have 100% efficiency n Since any time 2 surfaces rub together there is friction, this is impossible n Technologies exist to increase efficiency by decreasing friction n Ideas? by: n Work output/work input X 100 n Tells you the % of work that the machine does compared to the amount of work in 4 Increasing Efficiency 5
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