The force applied against an object moving horizontally on a linear path is described by $F(x)= x^2 + 7 N$ . By how much does the object's kinetic energy change as the object moves from $x in [ 2, 5 ]$ ?

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Answer 1 · 2018-05-15T05:48:37

The change in kinetic energy is $=60J$

The change in kinetic energy is equal to the work done.

$DeltaKE=W=Fxxd$

$W=intF(x)dx=int_2^5(x^2+7)$

$=[x^3/3+7x]_2^5$

$=(125/3+35)-(8/3+14)$

$=60J$

The force applied against an object moving horizontally on a linear path is described by F(x)= x^2 + 7 N F(x)= x^2 + 7 N . By how much does the object's kinetic energy change as the object moves from x in [ 2, 5 ] x in [ 2, 5 ]?