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:

- (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!!