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PHY 2048: Physic 1, Discussion Section 3695
Quiz 4 (Homework Set #6)
Name: UFID:
Formula sheets are not allowed. Calculators are allowed. Do not store equations in your calculator. You need to show all of your work for full credit.
________________________________________________________________________________
The figure below right shows a plot of potential energy U versus position x of a 0.400-kg particle that can travel only along an x axis under the influence of a conservative force. The graph has these values: UA = 10.0 J, UC = 22.0 J and UD = 27.0 J. The particle is released at the point where U forms a potential hill of height UB = 14.0 J, with kinetic energy of 5.00 J.
a) What is the speed of the particle at x = 3.5 m?
The initial mechanical energy of the particle is
Ei = Ki + Ui = 5 + 14 = 19.0 J
Since only a conservative forc e i s e x e r t e d o n t h e p a r t i c l e , i t s m e c h a n i c a l e n e r g y i s c o n s e r v e d . A t x = 3 . 5 m , t h e p o t e n t i a l e n e r g y i s U A = 1 0 J . T h u s t h e k i n e t i c e n e r g y i s
E = K + U ! K ( x = 3 . 5 ) = E U A = 1 9 1 0 = 9 . 0 0 J
T h e d e f i n i t i o n o f k i n e t i c e n e r g y y i e l d s
K = ( 1 / 2 ) m v 2 ! v = "( 2 K / m ) = 6 . 7 1 m / s
b ) W h a t i s t h e p o s i t i o n o f t h e t u r n i n g p o i n t o n t h e r i g h t s i d e ?
T h e p a r t i c l e t u r n s a r o u n d w h e n i t s k i n e t i c e n e r g y i s z e r o . T h e k i n e t i c e n e r g y i s z e r o w h e n t h e p o t e n t i a l e n e r g y e q u a l s t h e m e c h a n i c a l e n e r g y . T h e p o t e n t i a l e n e r g y f u n c t i o n
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c ) W h a t i s t h e p o s i t i o n o f t h e t u r n i n g p o i n t o n t h e l e f t s i d e ?
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T h e f u n c t i o n t a k e s t h e v a l u e o f E = 1 9 J a t
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