single conservative force F = ( 6.0x - 11) i N, where x is in meters, acts on a particle moving along an x axis. The potential energy ssociated with this force is assigned a value of 24 J at x = 0. (a) What is the maximum positive potential energy? At what (b) nega alue and (c) positive value of x is the potential energy equal to zero?

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A single conservative force \( F = (6.0x - 11) \, \hat{i} \, \text{N} \), where \( x \) is in meters, acts on a particle moving along an x-axis. The potential energy \( U \) associated with this force is assigned a value of 24 J at \( x = 0 \).

(a) What is the maximum positive potential energy?  
(b) At what negative value and  
(c) positive value of \( x \) is the potential energy equal to zero?
Transcribed Image Text:A single conservative force \( F = (6.0x - 11) \, \hat{i} \, \text{N} \), where \( x \) is in meters, acts on a particle moving along an x-axis. The potential energy \( U \) associated with this force is assigned a value of 24 J at \( x = 0 \). (a) What is the maximum positive potential energy? (b) At what negative value and (c) positive value of \( x \) is the potential energy equal to zero?
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