A horizontal force of 80 N acts on a mass of 6 kg resting on a horizontal surface. The mass is initially at rest and covers a distance of 5 m in 0.92 s under the action of the force. Assuming there are no energy losses due to air resistance and therefore that the acceleration is constant:

  1. (a) Calculate the total energy expended in the acceleration.

    (b) Plot a graph of the kinetic energy of the mass against time.

    (c) Plot a graph of the kinetic energy of the mass against distance.


    Work done so far:

    1. (a) 80 x 5= 400J

    1 (b) a= 2d/t^2
    a=(2x5)/0.92^2
    a=11.8147448
    a=11.81 m/s^-2

    v=at
    v=11.8147448 x 0.932
    v=10.86956522

    KE=1/2m(at)2
    KE=0.5 x 6(10.86956522)^2
    KE=354.4423442 J

    1 (c) KE=1/2m(2ad)
    KE=0.5 x 6(2 x 11.8147448 x 5
    KE=354.442344 J


    My main questions are, should I expect the same answers for both questions? seems a little odd to me.
    Also, I'm completely stumped on the graphs, how to start them, how to plot them etc.

    Any help is greatly appreciated!!