Much of the material making up Saturn’s rings is in the form of tiny dust grains having radii on the order of 10-6m. These grains are located in a region containing a dilute ionized gas, andthey pick up excess electrons. As an approximation, suppose each grain is spherical, with radius R = 1.0 × 10-6m. How many electrons would one grain have to pick up to have a potential of -400 V on its surface (taking V = 0 at infinity)?

The base of a 50-meter tower is at the origin; the base of a 50-meter tree is at (0, 50, 0). the ground is flat and the z-axis points upward. the following parametric equations describe the motion of six projectiles each launched at time t = 0 in seconds. (i) r (t) = (50 + t2)k (ii) r (t) = 2t2 j + 2t2k (iii) r (t) = 50 i + 50 j + (50 − t2)k (iv) r (t) = 2t j + (50 − t2)k (v) r (t) = (50 − 2t) i + 2t j + (50 − t)k (vi) r (t) = t i + t j + tk (a) which projectile is launched from the top of the tower and goes downward? at time t = , the projectile hits the ground at point (x, y, z) = . (b) which projectile hits the top of the tree?

The three classes of rocks are sedimentary, metamorphic, and igneous. how are rocks classified into one of these three groups?

Astep up transformer has 250 turns on its primary and 500 turns on it secondary. when the primary is connected to a 200 v and the secondary is connected to a floodlight that draws 5a, what is the power output? show all of your work.