Assessment Quiz Answers and very brief overview

What is your (intended) major? A.Engineering B.Physics C.Biomedical D.Other

How many semesters of high school physics courses? A.Absolutely none. B.1 C.2 or more.

How many semesters of university physics courses? A.Absolutely none. B.1 C.2 D.3 or more.

How many semesters of University Math courses? A.Absolutely none. B.1 C.2 D.3 or more.

Would you like a review of the following topics? A.Algebra B.Trigonometry C.Pre-calculus D.Other topic.

What is displacement? A.Term correct B.Units Correct C.Quantity type correct. D.None correct Displacement of an object is a vector quantity representing a change in its position. Basic MKS or SI unit is meters=m (other units are km,miles,feet, furlong,…)

What is velocity? A.Term correct B.Units Correct C.Quantity type correct. D.None correct The velocity of an object is a vector quantity representing the rate of change of its position accounting for direction. Basic MKS or SI unit is meters/second=m/s (other units are km/hour,miles/hour, furlong/fortnight,…) The speed of an object is a scalar quantity representing the magnitude of the rate of change of position not accounting for direction. Basic MKS or SI unit is meters/second (other units are km/hour,miles/hour, furlong/fortnight,…)

What is acceleration? A.Term correct B.Units Correct C.Quantity type correct. D.None correct The acceleration of an object is a vector quantity representing the rate of change in its velocity. Basic MKS or SI unit is m/s/s=m/s Rocket sled 157 g

What is mass? A.Term correct B.Units Correct C.Quantity type correct. D.None correct In kinematics, the mass of an object is a scalar quantity representing the resistance of a body to being accelerated by a force. Basic MKS or SI unit is kilogram =kg (other units are pounds, ounces, stone,…)

What is momentum? A.Term correct B.Units Correct C.Quantity type correct. D.None correct The momentum of an object is a vector quantity derived from the product of its mass with its velocity. Basic MKS or SI unit is kg-m/s.

What is Force? A.Term correct B.Units Correct C.Quantity type correct. D.None correct The (net) force acting on an object is a vector quantity derived from the product of mass with acceleration. Basic MKS or SI unit is kg-m/s 2 =N (Newton).

What is kinetic energy? A.Term correct B.Units Correct C.Quantity type correct. D.None correct The kinetic energy of an object is a scalar quantity representing the energy of an object due to its motion. Basic MKS or SI unit is kg-m 2 /s 2 = Joule.

What is potential energy? A.Term correct B.Units Correct C.Quantity type correct. D.None correct The potential energy of an object is a scalar quantity representing the energy of an object due to its position. Basic MKS or SI unit is kg-m 2 /s 2 = Joule. Example: falling into black hole…

What is Power? A.Term correct B.Units Correct C.Quantity type correct. D.None correct In mechanical systems, power is a scalar quantity equal to the scalar product of Force and velocity of an object. Basic MKS or SI unit is kg-m 2 /s 3 = Joule/s=Watt. Power is  Rate of doing work (e.g. cyclist 500W)  Rate of transferring energy (e.g. Sun W 3.8 x10 26 W)

What is Torque? A.Term correct B.Units Correct C.Quantity type correct. D.None correct The (net) torque acting on an object about a pivot point is a vector quantity derived from the vector (cross) product of the (net) Force with the distance of the point of application of the force from the pivot point. Basic MKS or SI unit is kg- m 2 /s 2 =Nm (Newton-meter).

Quadratic Equation A.Simplified expression correctly B.Term correct C.Solutions correct D.Name of equation correct E.None correct x 2 +2hx+h 2 =(x+h) 2 Procedure is known as “Completing the Square” Solutions to ax 2 +bx+c=0 Name is Quadratic Equation

Stellar Distance Stellar Distance part a A.Formula correct B.None correct Formula relating distance to parallax angle

Trigonometry For Right Triangles:

Trigonometry For Any Triangle:

Stellar Distance Stellar Distance part b A.correct B.Not correct Conversion from AU to feet Ability to perform unit conversions is important !!!!

Stellar Distance Stellar Distance part c A.Correct B.Not correct

Stellar Distance Stellar Distance part d A.Formula correct B.None correct

Stellar Distance Stellar Distance part e A.Formula correct B.None correct

Vectors A.correct B.Not correct a)How far north? East? First segment Total distance distance east distance north Total distance distance east distance north

Vectors A.correct B.Not correct b)How far north? East? After second segment Segment 2 distance Segment 2 d-east Segment 2 d-north Total distance distance east distance north

Vectors A.correct B.Not correct c)Bearing and time at 500 miles/hour for shortest distance Bearing should have been due north Time should have been

Derivatives A.correct B.Correct C.Correct D.correct E.correct F.None correct

Indefinite Integral A.correct B.Correct C.Correct D.correct E.correct F.None correct

General Topics Mechanics Lecture 8, Slide 30  Kinematics  Description of Motion  Force  Dynamics-how objects change velocity  Energy  Kinetic and Potential  Conservation Laws  Momentum and Energy  Collisions  Elastic and In-elastic  Rotations  Torque/ Angular Momentum/Statics

Problem Solving Techniques Mechanics Lecture 8, Slide 31  Visualize/Diagram  “Sketch” problem  Identify variables, input and what we are trying to solve  Free-body diagrams  Express in Mathematical Equations  Scalars-1d  Vectors-2d,3d  Break into components  System of n-equations with n-unknowns  Use Mathematical tools to solve:  Quadratic Equation  Vector operations  Trigonometry  Conceptual Understanding  Does answer make sense?

Potential Problem Topics Mechanics Lecture 8, Slide 32  Projectile Motion  Relative Motion - 2d  Uniform Circular Motion  Forces  Weight (near earth)  Gravitational (satellite)  Springs  Normal Force  Tension  Friction  Free-Body Diagrams  Work-Kinetic Energy  Potential Energy  Center of Mass  Conservation of Momentum  Collisions  In-elastic  Elastic  Rotations  Kinematics  Dynamics  Statics  Moment of Inertia  Torque  Angular Momentum

Relevant Formulae Mechanics Review 2, Slide 33

Relevant Formulae Mechanics Review 2, Slide 34