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Why is the slope of position vs force negative?

Why is the slope of position vs force negative?

-position line.) This shows that the restoring force, whether the spring is being compressed or stretched, is opposed to the direction of the applied force. Therefore it acts to reduce the total force in the system, and reduction is marked with a negative sign.

What is the slope of a force vs position graph?

The principle is that the slope of the line on a position-time graph is equal to the velocity of the object. If the object is moving with a velocity of +4 m/s, then the slope of the line will be +4 m/s. If the object is moving with a velocity of -8 m/s, then the slope of the line will be -8 m/s.

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What does the slope of a force graph represent?

Literally the slope means force per unit distance or force gradient.

Can the position-time graph have a negative slope?

Yes. The slope of position time graph gives velocity. And velocity can be negative.

What does the slope of a position vs time graph tell about the motion of the object?

The principle is that the slope of the line on a position-time graph reveals useful information about the velocity of the object. If the velocity is changing, then the slope is changing (i.e., a curved line). If the velocity is positive, then the slope is positive (i.e., moving upwards and to the right).

What does the slope of a position vs time 2 graph represent?

The slope at any point on a position-versus-time graph is the instantaneous velocity at that point. It is found by drawing a straight line tangent to the curve at the point of interest and taking the slope of this straight line.

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How is negative work depicted in a force vs position curve?

Work is the area under the curve of the force vs. position graph. Areas above the position axis are positive work and areas below the axis are negative work. If the force is not constant, we can divide the graph into sections with simpler shapes and add up the work in each section.

What does the slope of the force vs acceleration graph represent?

The slope of the acceleration vs. force graph represents the reciprocal of the mass of the system.

What does negative slope of position the graph signify?

In position and time graphs, the slope of line indicates the velocity. Therefore negative slope of a position-time graph actually indicates negative velocity. Negative velocity is defined as the velocity of the object moving in an opposite direction.

Can a position graph be negative?

Yes, when the velocity of the obect is begative.

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Why does the slope of a position-time graph represent velocity?

The slope of a position-time graph represents velocity. The steeper the slope is, the faster the motion is changing. Average velocity can be calculated from a position-time graph as the change in position divided by the corresponding change in time.