Work and Machines Machines make work easier Machine – n a device that helps do work by either changing the size (amount or distance)of a force or changing the direction of the force Machines DO NOT DO MORE WORK 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 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 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 lessen the amount of work done,it makes it easier for the person to do the work Work Output Mechanical advantage n The n n W work done by a machine =Fxd 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 2 Efficiency n Efficiency compares the output work to the input work (%) Calculating Mechanical Advantage Problem n A 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? Cannot be greater than 100%(no ideal machine) n Equation = work output/work input X 100 n Write the equation Fill in the values from the problem n MA n = Output force Input force MA = 350 N 50 N 3 Solve the problem n MA = 350 N 50 N 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 MA = 7 n The output force of the handcart is 7 times the input force of the man, but the distance of the output force is only 1/7 of the distance of the input force, so the work stays the same • 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 input/work output 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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