(I) What are the dimensions of density, which is mass per volume?

Estimate the number of jelly beans in the jar of Fig. 1–18. FIGURE 1–18 Problem 45. Estimate the number of jelly beans in the jar.

An Electron Evaporator. Electron beams are sometimes used to melt and evaporate metals in order to deposit thin metallic films on surfaces (similar to gold plating). One method is to put the material to be evaporated (called the "target") into a small tungsten cup (a crucible that has a very high melting point) and direct a beam of electrons at the target. Your team has been given the task of designing an electron-beam evaporator. The crucible is a cylinder, 2.0 cm in diameter and 1.5 cm in height, and contains a small target of pure nickel (Ni). The electrons are accelerated through a potential difference of V = 1.20 kV, and form a beam that originates below the crucible, exactly D = 3.70 cm off its center, in the +x direction (see the drawing). Field region Electron beam (a) What is the speed of the electrons in the beam? (b) You must steer the electron beam with a magnetic field so that it curls over the lip of the cup and strikes the nickel target. Assuming that a uniform field…

(b) Sphericals x=r sine coso y=r sine sino z=r cose Consider spherical coordinates as defined by their relationships to the Cartesian coordinates: x =r sin 8 cos p X2 =r sin 0 cos X3 =r cos 0 r2 = [xỉ + x3 + x e = tan-(x? + x3)x3 $ = tan-(x2/x1) or

Draw direction vectors in unit cells for the following cubic directions: a) [1 -2 3] b) [1 0 -3]

(II) The speed of an object is given by the equation v= At3 - Bt,where t refers to time. (a) What are the dimensions of A and B? (b) What are the SI units for the constants A and B?

How many significant figures are there in (a) 0.0210, (b) 5.060, (c) 7.10 * 10-4,(d) 1.0 * 105?

(II) Determine the conversion factor between (a) km/h and mi/h,(b) m/s and ft/s,(c) km/h and m/s.

(I) One hectare is defined as 1.000 x 104 m2. One acre is 4.356 x 104 ft2. How many acres are in one hectare?