You push downward on a box at an angle 25° below the horizontal with a force of 750 n. if the box is on a flat horizontal surface for which the coefficient of static friction with the box is 0.66, what is the mass of the heaviest box you will be able to move?

One day, after pulling down your window shade, you notice that sunlight is passing through a pinhole in the shade and making a small patch of light on the far wall. you see that the patch of light seems to be a circular diffraction pattern. it appears that the central maximum is about 1 cm across and you estimate that the distance from the window shade to the wall is about 3 m. what is (a) the average wavelength of sunlight? (b) the diameter of the pinhole?

One form of energy can be another type of energy. a. created to form b. transformed into c. destroyed and then created to form

Suppose that f : rn → rm and that a ∈ k, where k is a connected subset of rn . suppose further that for each x ∈ k there exists a δx > 0 such that f(x) = f(y) for all y ∈ bδx (x). prove that f is constant on k; that is, f(x) = f(a) for all x ∈ k