An-object-constrained-to-move-along-the-x-axis-is-acted-upon-by-a-force-F-x-where-a-5N-m-b-2N-m-F-x-ax-bx-2-The-object-is-observed-to-proceed-directly-from-x-1m-to-x-3m-How-much-work-was-done-b

Question Number 25307 by NECx last updated on 08/Dec/17

A n o b j e c t c o n s t r a i n e d t o m o v e

a l o n g t h e x - a x i s i s a c t e d u p o n b y

a f o r c e F (x) w h e r e a = 5 N / m,

b = - 2 N / m . F (x) = a x + {b x}^{2}

T h e o b j e c t i s o b s e r v e d t o p r o c e e d

d i r e c t l y f r o m x = 1 m t o x = 3 m .

H o w m u c h w o r k w a s d o n e b y t h e

o b j e c t b y t h e f o r c e ? D o e s t h e

p r o c e s s o f i n t e g r a t i o n t a k e i n t o

a c c o u n t t h e f a c t t h a t t h e f o r c e

F (x) c h a n g e s s i g n i n i n t e r v a l .