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Aim: How can we explain work and power? Do Now: A man pushes on a wall with a force of 50 N for 60 s. Has he done any work? Work The force acting upon an object to cause a displacement There must be a displacement Force and displacement must be in the same direction Scalar quantity Work or No Work? A student applies a force to a wall and becomes exhausted. NO WORK!!! A calculator falls off a table and free falls to the ground. WORK!!! An out of shape Army soldier hangs on a pull-up bar for 10 seconds and can’t do a single pull-up. NO WORK!!! A rocket accelerates through space. WORK!!! W = Fd Units Joule = N ·m J= James Prescott Joule 1818-1889 A 5 kg box is pushed with a force of 20 N over a distance of 4 m. How much work was done? W = Fd W = (20 N)(4 m) W = 80 J The same 5 kg box is now lifted a vertical distance of 4 m. How much work was done? W = Fg d W = mgd The force required to lift an object is equal to the object’s weight W = (5 kg)(9.8 m/s2)(4 m) W = 196 J Area under a force - displacement graph is equal to the WORK done by the force Calculate the work done: W = bh W = (5m)(10 N) W = 50 J 10 F (N) 5 d (m) Power •The rate of doing work Rate means divide by time •Scalar quantity James Watt 1736-1819 Units: A force of 50 N is applied to an object which gives it a constant velocity of 10 m/s. At what rate is work being performed? A 680 N student runs up a flight of stairs 3.5 m high in 11.4 s. On a second run, the same student completes the same stair run in 8.5 s. a) What is the work done by the student? W = Fd W = (680 N)(3.5 m) W = 2380 J b) What is the power developed for the 11.4 s run? c) Compare this power to the power developed during the 8.5 s run Power and time are indirectly related Time increases, power decreases The 11.4 s run developed less power