It-takes-a-force-of-19-000-lb-to-compress-a-spring-from-its-free-height-of-15-in-to-its-fully-compressed-height-of-10-in-How-much-work-does-it-take-to-compress-the-spring-the-first-in-a-1900-in

Question Number 125048 by bemath last updated on 08/Dec/20

I t t a k e s a f o r c e o f 19, 000 l b t o

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

h e i g h t o f 15 i n t o i t s f u l l y

c o m p r e s s e d h e i g h t o f 10 i n . H o w

m u c h w o r k d o e s i t t a k e t o

c o m p r e s s t h e s p r i n g t h e f i r s t i n ?

(a) 1900 i n . - l b

(b) 950 i n . - l b

(c) 3800 i n . - l b

(d) 190, 000 i n . - l b

Commented by mr W last updated on 08/Dec/20

W = \frac{1}{2} \times 1 \times (\frac{1}{10} \times 19000) = 950 i n . - l b

\Rightarrow a n s w e r (b)

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