Problem 4 Density and Plane Travel P = m The (volume) density of an object is its mass divided by its volume. This is typically expressed with the greek letter p (rho), so that p= m/V. (a) Let pal be the density of aluminum and pfe be the density of iron. Suppose a metal sphere of alu- minum has the same mass as a metal sphere of iron. If the aluminum has a radius R, what must the radius of the iron be? (You will need to look up the volume of a sphere). 1 Speed is distance divided by time. Suppose a plane travels north at speed to for a time to and then travels east at for a time 3to. (b) How far to the north did the plane travel? How far to the east? (c) What is the total distance the plane is away from its initial position? 20 Pz m Mfe = Mal volume of Sphere V=1, 3 Pai 2 Pal. density of aluminum mal Val Pfe (vsc) = mse -1 (Var) = Mal (UP) = Pal (Val). 4 V= 4 3 V Pf density of PM Jfe ↓

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