Question bank: Work: Graphics

A 2 kg object is displaced in a straight line by a constant force of 10 N. Knowing that the object's displacement is 5 meters, determine the work done by the force. Use a graph to represent the force as a function of displacement. Discuss the positive or negative work done by the force in this movement, based on the graphical representation.

During a Physical Education class, a student performs a resistance test by lifting weights in a vertical linear motion. The teacher, aiming to correlate physical activity with Physics, proposes an experiment in which the student must lift a known mass, moving it from the ground to a height of 1 meter, along a 1-meter horizontal stretch. After measuring the effort exerted by the student, who provides a constant force, the teacher records the data on a force versus displacement graph. Considering that the local acceleration due to gravity is approximately 9.8 m/s² and neglecting any other forces or effects that may occur during the movement of the mass, determine the work done by the student to raise the mass to the specified height and explain how this information can be obtained from the analysis of the force versus displacement graph.

During a Physics class, a group of 1st-year High School students is challenged to analyze the work done by a constant force acting on a body in rectilinear motion. The motion occurs along a horizontal axis and is represented by the graph of force as a function of displacement, which shows a region where the force is represented by a decreasing linear function. Considering the hypothetical situation in which the body moves 4 meters under the exclusive action of this force and the graph provides the dimensions of the rectangles representing the infinitesimal variations of force and displacement, the students are challenged to determine the total work done by the force. Additionally, the teacher asks the students to reflect on how variations in the static friction coefficient between the body and the surface would affect the total calculated work. Drawing on the interdisciplinary knowledge of Physics and Mathematics, how could the students use the concept of area under the graph curve to solve the proposed problem?

During a Physics exercise, students were challenged to slide a box with a mass of 10 kg along a frictionless inclined plane. The students applied a force parallel to the inclined plane, maintaining an angle of 30° with respect to the horizontal. For a displacement of 5 meters along the plane, a graph of the applied force as a function of displacement was recorded. The graph showed an ascending line starting from the origin and forming an angle of -30° with the horizontal axis. The teacher explained that the work done by the students could be determined by the area under the graph of force versus displacement. Based on this context and Physics knowledge, what is the amount of work done by the applied force to move the box along the inclined plane, and how does this quantity relate to the inclination of the plane and the angle described by the graph?

During a practical Physics class, a group of students conduct an experiment to study the relationship between the work done by a force and the displacement of an object on a frictionless horizontal surface. They apply a constant force in a direction parallel to the displacement and record the values of force and displacement on a force versus displacement graph. Considering that the obtained graph is a rectangle with a base of 4.0 m and a height of 10.0 N, what is the work done by the force on the object?