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 [ 0, 4]#? Physics Work and Energy Energy 1 Answer qin Apr 24, 2017 Answer: The kinetic energy of the object will decrease by 24J. Explanation: Change in #E_k# = Work done on object = Area under the F-x graph #int_0^4 F(x) dx = int_0^4 (8-x) dx = [8x-0.5x^2]_0^4 = 32-8 = 24# 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 159 views around the world You can reuse this answer Creative Commons License