Work and Energy m m
Work Done by a Constant Force Work = Fd cos(q)
Work F q Fcos(q) d Work = Fd cos(q)
Units of Work System Unit of Work SI newton-meter Joule (J) cgs dyne-centimeter erg British foot-pound
A net force acts on a moving object vf vi Work Energy Theorem A net force acts on a moving object vf vi Kinetic Energy F m x
vf vi F m x Work Energy Theorem The net work done on an object by a net force acting on it is equal to the change in kinetic energy of the object
Work done against friction Friction acts on moving object m m f d
Stretching a Spring
x F F x kx Work
Object falls in a gravitational field Work done by gravity Object falls in a gravitational field m mg h m Wg = mgh
Work and Energy Work done by force (F) = Kinetic energy = Work done by gravity = Work done by a spring = Work done against friction =
Gravity/Kinetic Energy Ball drooped from rest h v
Spring/Kinetic Energy Work done by a spring v m m k x
Spring/Friction Work done by friction v = 0 m m k x d = ?
Gravity/Kinetic Energy m d vo = 0 V = ? q h h = d sin(q)
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