Why's Applied Force Plotted On Vertical Axis?

• BayernBlues
In summary, the reason why applied force is plotted on the vertical axis of the graph in a Hooke's Law experiment is because the equation Fx = kx is in the form of y=x, where Fx is represented by the y-axis and the k value is the slope. This allows for the determination of the spring constant and work done by dividing and multiplying F and x values. Force is the dependent variable in this experiment, while displacement is the independent variable.
BayernBlues

Homework Statement

Explain why applied force is plotted on the vertical axis of the graph even though it is the independent variable in a Hooke's Law experiment (involving a mass being attached to the spring)

Fx = kx

The Attempt at a Solution

Maybe it's because the equation Fx = kx is in the form of y=x where Fx is the y and the k value is the slope.

You'd have to give more background or information. I am not even used to force being graphed, except for an impulse.

Force is the dependent variable. Hookes law is for the spring. Sure if you change the amount of force you apply the displacement changes, but that's not the point. The further the displacement, the more the spring pulls back. This is the reason for the negative sign. With this graph setup, you can divide F/x to find the spring constant and multiply F*x to find the work done

What is applied force plotted on the vertical axis?

Applied force plotted on the vertical axis is a way of visualizing the relationship between the amount of force applied to an object and the resulting motion of that object. The vertical axis represents the amount of force being applied, while the horizontal axis typically represents time or distance.

Why is applied force plotted on the vertical axis?

Placing applied force on the vertical axis allows for a direct comparison between the amount of force and the resulting motion. This can help scientists and engineers understand how different forces affect an object's movement and make predictions about future outcomes.

How is applied force measured and plotted on the vertical axis?

Applied force is typically measured using a force sensor or a scale. The force is then plotted on the vertical axis of a graph, with units of newtons (N) or pounds (lbs). The values can be plotted as discrete points or connected with a line to show a continuous relationship.

What are some real-life examples of applied force plotted on the vertical axis?

One example is a graph showing the relationship between the force applied to a spring and the resulting displacement of the spring. Another example is a graph representing the relationship between the force applied to a car's gas pedal and the resulting acceleration of the car.

What can we learn from plotting applied force on the vertical axis?

By plotting applied force on the vertical axis, we can see how different forces affect an object's movement and make predictions about future outcomes. We can also use this information to design and optimize systems, such as determining the best force to apply to achieve a desired motion or reducing the impact of forces on a structure.

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