Ploting a graph of kinetic energy of mass

AI Thread Summary
A horizontal force of 80N acts on a 6Kg mass, causing it to accelerate and cover 5m in 0.92 seconds. The kinetic energy (KE) of the mass can be calculated using the formula KE = 1/2 mv^2, resulting in a maximum value of approximately 418.117 Joules. The discussion involves plotting KE against time and distance, with the x-axis representing KE and the y-axis representing time or distance. Participants are clarifying how to calculate velocity at different time points due to constant acceleration. The calculations and graphing methods are being refined to accurately represent the relationship between kinetic energy, time, and distance.
JavaJoeUK2011
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A horizontal force of 80N acts on a mass of 6Kg resting on a horizontal surface. The mass is initially at rest and covers a distance of 5m in 0.92s under the action of the force. Assuming there are no energy losses due to air resistance and therefore that the acceleration is constant.

1.Plot a graph of the kinetic energy of the mass against time.


d = (1/2)at2 = (1/2)(11.81474m/s2)(0.92s)2 = 5m

v= 11.814 m/s2

KE = 1/2 mv^2 = 1/2 x 6 x 11.814^2 = 418.117

So x-axis would be KE of Mass 0 to 418.177 and y-axis would be time 0 to .092


2.Plot a graph of the kinetic energy of the mass against distance.

So x-axis would be KE of Mass 0 to 418.177 and y-axis would be Distance 0 to .5

Have i done this correctly?
 
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Hi JavaJoeUK2011! :smile:

You need to find the KE as a function of t. :wink:
 
looks like I am doing a similar assignment.
I have plotted the graph of KE against time and the the KE figure has changed with the value V being altered at each point depending on T.
So at 0.92, KE =1/2mv^2
with v=at = 11.8 x 0.92=10.8
so KE=0.5 x 6 x 10.8 =349.92

Is this correct?
If so how do I figure in the changes in distance?
 
I would just like to know what calculation you use for you to get 11.8 m/s squared?
Im struggling to calculate a single Velocity knowing that the mass is accelerating?
 
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