Two spheres of masses m, m` impinge. If the collision is direct and v is their relative velocity before impact e is the coefficient of restitution. Prove that the loss of kinetic energy by impact is:

Astudent draws two parabolas on graph paper. both parabolas cross the x-axis at (-4, 0) and (6,0). the y-intercept of thefirst parabola is (0, –12). the y-intercept of the second parabola is (0-24). what is the positive difference between the avalues for the two functions that describe the parabolas? write your answer as a decimal rounded to the nearest tenth.

Atemperature of 1.64◦f corresponds to answer in units of ◦c.

A3-dimensional figure has a square base and 4 lateral faces that meet at a point. explain the difference between the cross sections when a slice is made perpendicular to the base through the vertex, and when a slice is made perpendicular to the base and not through the vertex