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 ]#?

Question

1147 views around the world

You can reuse this answer
Creative Commons License

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#