Suppose the object in the figure below has a mass of 3.0 kg and a speed of 4.0 m

Question

Suppose the object in the figure below has a mass of 3.0 kg and a speed of 4.0 m/s at x = 0. What is its speed at x = 5.0 m? m/s

I know you have to do something with the area but I dont understand how to break it into parts to find the area and go from there. I also know that I need to use KE1=.5mVf^2-.5mv1^2.

Atleast I think. if someone could please help and explain! thank you

Suppose the object in the figure below has a mass of 3.0 kg and a speed of 4.0 m/s at x = 0. What is its speed at x = 5.0 m? m/s I know you have to do something with the area but I dont understand how to break it into parts to find the area and go from there. I also know that I need to use KE1=.5mVf^2-.5mv1^2. Atleast I think. if someone could please help and explain! thank you

Explanation / Answer

area under the force vs. displacement curve will give work done (change in energy) .

change in energy = area under the curve

mv^2 /2 - m *4^2 /2 = 2 x 50/2 + 3 x 15/2 + 35 x 3

v = 11.60 m/s

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