Learning Objectives: Get used to calculations involving orders of ten and geometry. a) 16.50 g of iron (with a density of 7.86 g/cm3 ) is pressed into a leaf of 1.000 um thickness. What is the area of the leaf? When it is drawn out into a solid cylindrical fiber of radius 2.500 um, what is the length of the fiber? b) About 1080 protons are there in the (known) universe. If all of these were lumped together into a sphere so that they were just touching, what would the radius of the sphere be? Compare it to an existing structure or size. You can ignore the spaces left when spherical objects are packed and take the radius of a proton to be about 10-15 m.Velocity vs. time graph ( 4 points ) Learning Objectives: Using graphical description of motion to solve problems in kinematics. A car travels with constant speed vo on a highway. At the instant it passes a police motorcycle, the motorcycle accelerates with constant acceleration and gives chase. What is the speed of the motorcycle (in terms of vo ) when it catches up to the car (in an adjacent lane on the highway)? Solve the problem by drawing v(t) plots of car and motorcycle on top of each other and explain your argumentation using the graphs