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The potential energy of any body of mass M kg raised by H meters above the earth's surface is M x H x G (G = 9.81 meters/sec/sec). It doesn't matter whether it moves up a plane or vertically, it is only the vertical rise that determines the potential energy. Of course on a plane the movement may create friction which means you have to put extra energy in, but this extra energy does not count towards the potential, it is probably lost in creating heat.
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Can an inclined plane have a mechanical advantageof less than 1?
No. The slope would have to be shorter than the height.
What is produced when you slice a cone at different angles?
When a cone is sliced parallel to the base then the shape produced is a circle. If the cone is sliced at an angle so that the cut goes completely through the cone then an ellipse is produced. If the cut is made perpendicular to the cone's base then the shape produced is a parabola.
What are conics?
Conics, or conic sections, are the intersection of a plane with an infinite double cone. If that plane cuts both cones, it is a hyperbola. If it is parallel to the edge of the cone, you get a parabola. If neither is the case, it is an ellipse. The ellipse is also a circle if the plane is perpendicular to the altitude of the cone. Note that none of these are the case if the plane passes through the vertex of the cone.
If a right circular cone intersects a plane that runs parallel to the edge of the cone is what?
The intersection of a right circular cone and a plane that is parallel to the edge of the cone is a parabola. However, if the vertex of the cone lies on the plane, then the intersection is simply two intersecting lines.
Does a can of soda have both axis of symmetry and plane symmetry?
If you ignore the print, then it has a plane of symmetry (possibly) but not an axis of symmetry. If you ignore the print and the "pop-top" part, then it has both.
