34) This problem asks us to find the work done on the mass by a variable force. Normally, we would just solve for work using W = F*d. However, that won't work for this problem since the force is variable. Instead, we will use a different method.
If you have never taken a calculus class, you probably won't understand the red equation. Essentially, it means you are taking the area between a force(F) vs. displacement(x) curve and the x-axis.
Be careful! This only works with a force versus displacement graph.
Since the graph makes the shape of a triangle, we will simply use the formula for the area of a triangle.
Since the area between the curve and the x-axis is 15, our work done by the variable force will be 15 Joules.
Answer: C
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