Homework 5 Due October 23rd *Problems marked with an asterisk

Homework 5Due October 23rd*Problems marked with an asterisk do not need to be handwritten.1) What does it mean for a physical system to be in Static Equilibrium? Provide a formula.Under what conditions is a physical system in Static Equilibrium? Provide examples ofsystems in static equilibrium.2) How do you write1 vector quantities in the Polar form? How can you represent thisgraphically (with diagrams)? How do you add and subtract vector quantities graphically(again, with diagrams)? Give examples for planar vectors (draw pictures).Note: Planar vectors are vectors that point along a surface. One can visualize planarvectors as arrows on a map; the length of the arrow is the magnitude, and the angle relativeto a reference direction (North, for example) is the arrow’s direction.3) How do you write vector quantities in the Cartesian (or Rectangular) form? How can youobtain the magnitude of a Cartesian/Rectangular vector? How can you convert vectors fromthe Polar form to the Cartesian form? How do you add/subtract vector quantities in theCartesian form? Hint: Trigonometry may be useful in this problem.4) Consider a 10 kg object sitting on a frictionless flat surface. Two forces are acting on theobject; they are perpendicular to each other and parallel to the surface. If one force has amagnitude of 17 N and another of magnitude 15 N, what is the magnitude of the total force(neglecting gravity) acting on the object? Is the object in static equilibrium? Why or whynot?Hint: The first question is an exercise in vector addition and in obtaining the magnitudefrom Cartesian vectors; it is an application of the concepts in problem 3.5) *What is the formula for the kinetic frictional force2? Be sure to define the quantities in theformula and give their SI units. Consider the following table detailing the frictional forceand normal force (or equivalently, weight) for a car on a track:Measured Frictional Force (in N)3.64.86.0Normal Force (in N)6.17.810.0Make a graph of this data and find the slope (either by performing a fit or by inspecting thegraph) to determine the coefficient of kinetic friction for the track. Which column shouldrepresent the independent variable if we want the slope of graph to give the coefficient weseek?12By “write,” I mean the following: Describe a vector quantity mathematically (with numbers or variables)This is the friction force on an object in motion.