exam 3 physics.docx

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Uniform Circular Motion When an object is moving at a constant speed in a circular motion An object still has acceleration, but the acceleration doesn’t change an object’s speed; it changes its object’s direction UCM acceleration o A c = v 2 / R o Direction of a c = always towards the center of the circular path o The magnitude is constant but the direction is not because at each point, the vector’s a c always points towards the center Therefore, neither a or v are constant because the direction of each vector changes as the object moves Centripetal Force From Newton’s 2 nd law, F c = ma c F c always points towards the center of the circle Distance around the circle = the circumference : c=2 r π Formula 1 changes: o 2 r = velocity x time π F c = mv 2 /R, for object undergoing UCM When something accelerates upward, the F n is positive and F g is negative When dealing with UCM, the F “toward the center” is always positive For F T
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Newton’s Law of Gravitation F g = G m 1 m 2 R 2 The gravitational force between two objects is inversely proportional to R 2 , the square of the distance between them
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