The force acting on a particle is given by  F(r) = (A/r2)r̂,  where A is a positive constant. (a) What are the dimensions of A?   Can the force be negative?   (b) Sketch F versus r. (c) Find the work done by the force on the particle as it moves from  ri = r0 to rf = 5r0.  (Use the following as necessary: A, r0.)   (d) Check your answer by comparing it with the case of a particle moving under the influence of gravitational force near a planet.

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter9: Energy In Nonisolated Systems
Section: Chapter Questions
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The force acting on a particle is given by 

F(r) = (A/r2)r̂,

 where A is a positive constant.

(a) What are the dimensions of A?
 

Can the force be negative?
 

(b) Sketch F versus r.

(c) Find the work done by the force on the particle as it moves from 
ri = r0 to rf = 5r0.  (Use the following as necessary: Ar0.)
 
(d) Check your answer by comparing it with the case of a particle moving under the influence of gravitational force near a planet.
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