What is the area under the force-displacement curve represent?

The product of force and displacement is the work done by the force. Therefore the area under a curve with force on the Y-axis and displacement on the X-axis will represent the work-done. Therefore, Option (D): Work-done, is the correct answer.

How do you find the area under a force-displacement graph?

A force-displacement graph will have force (in N) on the vertical axis and displacement (in m) on the horizontal axis. The area of the graph is = Fs. This quantity represents the work done on the object.

What is the area under a displacement time curve?

It has been learned in this lesson that the area bounded by the line and the axes of a velocity-time graph is equal to the displacement of an object during that particular time period. The area can be identified as a rectangle, triangle, or trapezoid.

What is the area under the curve of a force graph?

If you graph the force on an object as a function of the position of that object, then the area under the curve will equal the work done on that object. So, the “area under a F vs. x graph is equal to the work.”

Which of the curves on the force displacement graph have regions where the force is constant?

When the force acting on a system is constant, e.g. the force of gravity (weight of an object), or friction when moving at a constant speed, the force-displacement graph is just a horizontal line because the force does not change.

How do you find the area under a curve in physics?

The area under a curve between two points is found out by doing a definite integral between the two points. To find the area under the curve y = f(x) between x = a & x = b, integrate y = f(x) between the limits of a and b. This area can be calculated using integration with given limits.

What is the area under the curve of a position vs time graph?

The area under the velocity/time curve is the total displacement. If you divide that by the change in time, you will get the average velocity. Velocity is the vector form of speed. If velocity is always non-negative, then average velocity and average speed are the same.

Why is the area under a velocity time graph displacement?

The area under the line on a velocity-time graph is equal to the displacement of the object. If the shape of the graph can be broken into simple geometric shapes, the total area under the line can be calculated by adding the areas of those shapes. The area under a speed-time graph is the distance.

Which of the curves on the force-displacement graph have regions where the force is constant?

What is the slope of a force displacement graph?

If the neutral position is 0, then the displacement Δx=x−0=x. When we plot the graph F vs Δx, we get the slope k. Therefore the slope of the spring force F vs. x is the spring constant k.

What is the nature of graph for force displacement?

The nature of graph is parabolic.

How do you find the area of the parabola?

So, the formula indicates that to find the area under a parabola when it is cut by a horizontal line, we simply multiply two-thirds by the product of the length of the line segment between the points of intersection and the distance from the horizontal line to the vertex.

What is the area under the curve called?

Definition. A common use of the term “area under the curve” (AUC) is found in pharmacokinetic literature. It represents the area under the plasma concentration curve, also called the plasma concentration-time profile.

What does the area under the curve of an acceleration time graph represent?

The area under an acceleration graph represents the change in velocity. In other words, the area under the acceleration graph for a certain time interval is equal to the change in velocity during that time interval.

What would you call the area under the curve of a velocity time graph included between itself and two time ordinates?

The area under a velocity-time graph is a representation of the displacement. So option 2 is correct. The rate of change of distance is called speed. The rate of change in velocity is called acceleration.

What is the nature of motion of a body whose displacement time graph is a parabola?

Answer: It is a parabola. Explanation: A straight line inclined to the positive direction of x-axis in distance time graph will give velocity(constant).

What does the slope of a force vs displacement graph represent?

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

What does the area under the curve represent physics?

The area under the curve is the magnitude of the displacement, which is equal to the distance traveled (only for constant acceleration).

What does the area under the displacement force curve give?

JEE Questions The Area Under The Displacement Force Curve Gives The area under the displacement-force curve gives 1) distance travelled 2) total force 3) momentum 4) work done Answer: 4) work done Solution: Work done = force × displacement Hence, the displacement force curve gives work done Was this answer helpful? 0 (0) (0) (0)

How to find the area of the circle of a parabola?

The area of the quadrant is calculated by integrating the equation of the curve across the limits in the first quadrant. Hence the area of the circle is π a2 square units. A parabola has an axis that divides the parabola into two symmetric parts. Here we take a parabola that is symmetric along the x-axis and has an equation y 2 = 4ax.

What is the displacement of an object?

It is the distance (s) of the object displaced by the application of the force (f). In this case force (f) is presented on the y-axis and displacement (s) on the x-axis.

What is area under the curve in velocity time graph?

What Is Area Under the Curve in Velocity Time Graph? In the velocity-time graph, the velocity is graphed with respect to the y-axis, and the time is taken on the x-axis. With this, the area is assumed to be the product of velocity and time and it gives the distance covered.