The force applied against an object moving horizontally on a linear path is described by #F(x)=8-x#. By how much does the object's kinetic energy change as the object moves from # x in [ 2, 4]#? Physics Work and Energy Energy 1 Answer Narad T. Mar 7, 2018 The change in kinetic energy is #=10J# Explanation: The change in kinetic energy is equal to the work done, #DeltaKE=W# The work done is #dW=F(x)*dx# #W=int_2^4(8-x)dx# #=[8x-x^2/2]_2^4# #=(32-8)-(16-2)# #=24-14# #=10J# Answer link Related questions How do matter and energy interact? Question #50ca2 Question #242cf Question #5038d Question #50391 What is potential energy? Question #d6576 Question #50cae Question #50cb2 Question #50cb6 See all questions in Energy Impact of this question 1361 views around the world You can reuse this answer Creative Commons License