PHYS 1420 Lecture Notes - Lecture 15: Dot Product, Net Force, International System Of Units

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Joule (j: can be positive or negative. If the force and displacement are in the same direction, work is positive. If an applied force and displacement are perpendicular, then no work is done: more than one force can do work on an object. Is there work done by your arms when lifting up a textbook: yes. Is there work done by your arms when carrying a textbook: no. Is there work done by your arms when outing down a textbook: yes. Dot product: also called scalar product operates on two vectors and returns a scalar, a*bcos , : the angle between a and b , and is always positive. If =180 then a *b = -ab: dot product is commutative: a *b = b *a , dot product is distributive: a *(b +c )= a *b = a *c . If we do work on an object, we are applying a force in the direction of motion.

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