Answer
$780 J$
Work Step by Step
Hooke's Law states that $F=k x$
Use formula: $\int x^n=\dfrac{x^{n+1}}{n+1}+C$.
This implies that
$W=\int_0^{(50)} (0.624) (x)=(0.312)[ \dfrac{x^2}{2}]_0^{(50)}$
Hence, $(0.312)[ 2500-0] =780 J$
Thomas' Calculus 13th Edition
by Thomas Jr., George B.
Published by
Pearson
ISBN 10:
0-32187-896-5
ISBN 13:
978-0-32187-896-0
Chapter 6: Applications of Definite Integrals - Section 6.5 - Work and Fluid Forces - Exercises 6.5 - Page 348: 7
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