The work done by gravity on an incline is accurately represented by the formula m*g*h, which can also be expressed as m*g*d*sinθ, where θ is the angle of the incline with the horizontal. The confusion regarding the formula m*g*d*cosθ is clarified, as it does not apply in this context. The discussion emphasizes the importance of understanding the geometric relationships in a right triangle formed by the incline, specifically using the sine function to determine the height. Additionally, the sign of the work done varies depending on the direction of travel along the incline.
PREREQUISITESStudents of physics, educators teaching mechanics, and anyone interested in understanding the principles of work and energy on inclined surfaces.
Yes, where theta is the angle the incline makes with the horizontal. Draw the right triangle with height h and hypotenuse d, and use soh-cah-toa...but what is the sign of the work done, if the object is traveling up the plane? Down the plane?The formula is m*g*h which translates to m*g*d*sinθ right?