- Read forces directly from the graph.
- Read displacements directly from the graph.
- Use the area under the graph to find the work done by the force. This is equal to the kinetic or potential energy the object gains due to the application of the force.
Table of Contents
What does a force vs displacement graph represent?
What is the slope of a force vs displacement graph?
Thus the slope of the force vs displacement graph is xF=k.
How do you calculate work from a graph?
How do you find the work done on a force extension graph?
What is the slope of a displacement graph?
In a displacement-time graph, the slope or gradient of the line, is equal to the velocity of the object. The steeper the line (and the greater the gradient) the faster the object is moving.
What is the relationship between work force and distance?
Work is the use of force to move an object. It is directly related to both the force applied to the object and the distance the object moves. Work can be calculated with this equation: Work = Force x Distance.
What does the slope of a force time graph represent?
The slope is equivalent to speed, which is defined as the change in distance over time. While the area under the graph is the product of the values in the x-axis and y-axis. This is applicable in the force vs. time graph, wherein the force is on the y-axis and time is on the x-axis.
Which is equal to area under force displacement graph?
Work done is equal to area under the force-displacement graph.
What is the gradient of a force extension graph?
The gradient of the graph of force F, (y-axis), and extension e, (x-axis), is equal to the spring constant k. Hooke’s Law is obeyed up to the limit of proportionality. Beyond this point, stretching force and extension are no longer directly proportional and the graph begins to curve.
What is the formula for displacement?
Displacement Formula Displacement = Final position – initial position = change in position.
How do you find force with displacement?
Explanation: The formula for work is W=F×d , where W is work in N⋅m , which are the same as Joules (J) , F is force in Newtons, and d is displacement in meters.
How do you find velocity from a force displacement graph?
What does the area under a force extension graph show?
In a force-extension graph: the gradient is the spring constant. the area under the line is the work done in stretching the spring.
How do you find distance on a displacement time graph?
How do you find displacement on a graph?
The displacement can be found by calculating the total area of the shaded sections between the line and the time axis. There is a triangle and a rectangle – the area of both must be calculated and added together to give the total displacement.
What does the area of a displacement time graph represent?
The area of displacement -time graph gives velocity. The slope of velocity-time graph gives acceleration. The slope of displacement-time graph gives accelerationthe area of velocity-time graph gives average velocity.
What is the relationship of work with force and displacement?
Work is measured as the product of force and the displacement in the direction of the force. Work = force × displacement in the direction of the force.
What happens to the force if the distance between the charges is doubled?
The size of the force varies inversely as the square of the distance between the two charges. Therefore, if the distance between the two charges is doubled, the attraction or repulsion becomes weaker, decreasing to one-fourth of the original value.
Is force directly proportional to distance?
Gravitational and electromagnetic force varies as the inverse square of the distance. Why is force inversely proportional to distance squared? This is because the force acts uniformly in all directions from the point source and conserves the energy over the entire surface surrounding the point object.
How do you read a force graph?
To read a keypress from a force curve, you read the graph from left to right, and then if there is data for the release it is then read from right to left. The X-axis (bottom) going from left to right shows how far you have pressed the switch.
What is the area of force vs distance graph?
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.
What is the trend of the graph if the slope is negative?
A negative slope means that two variables are negatively related; that is, when x increases, y decreases, and when x decreases, y increases. Graphically, a negative slope means that as the line on the line graph moves from left to right, the line falls.
What will be the nature of force displacement graph if the force applied on a body is constant?
Rectangular hyperbola. Hint: When a constant force is acting on a body it corresponds to constant acceleration.
When work done by the force is positive?
Work done by a force applied on a body is: When the direction of motion of the body and the force acting in the same direction, work done is positive. When the direction of motion of the body and the force acting on the body is opposite, work done is negative.