Conceptual physics help please.
So we just got to work in my mechanics class.
Please let me know if I have this down straight:
- Kinetic Energy is (m(v)^2)/2, and the NET Kinetic Energy = the different kinetic energies for different velocities added up together.
- The Work of ANY force can be calculated by the integral of the force vector dotted with dr (r being the displacement vector). This can then be simplified to Work of ANY force = integral (from x1 to x2) of Fx dx + integral (from y1 to y2) of Fy dy.
- The Work Energy Theorem states that the TOTAL NET WORK of a system = the change in Kinetic Energy. So Wnet = (m(vf)^2)/2) - (m(vi)^2)/2). Also, Wnet = W1 + W2 + W3, so in other words, all those integrals calculated from the individual forces' components as stated above added together.
- If a force is constant, W of that force can otherwise be stated to equal F * d * cos(theta), with d being distance and theta being the angle between the two.
- If the force is perpendicular to the displacement, its Work = 0.
- I may not be remembering this right, but if the force is antiparallel to the displacement, the Work is negative, and if the force is parallel to displacement, the Work is positive?
-To find the velocities of any of simple, falling block on an inclined plane problem, I can simply make free-body diagrams, calculate the work, and then discover the velocities.
Am I getting this right?