Comparing Approaches An object moving down a ramp Linear Kinematics Newtonian Forces Work-Energy Energy Conservation Momentum-Impulse Momentum Conservation Rotational Kinematics Rotational Dynamics Rotational Conservation Principles QUALITATIVE QUANTITATIVE Physical Situation Mathematical (Formal) Solution RepresentationInterpretation Visual Representation Symbolic Notation Select Physical Principles/ Approach Build Relationships Solve Check Limiting Cases Check Reasonable ness Insert Numbers (Experience) (Ideas) Check Units Conceptual and Narrative Representation Solution Statement Applying the Problem Solving Framework

Basic Applications Where we have been: motion of rigid, non-rotating systems frameworks motion of rigid, rotating systems Where we are going: motion of non-rigid, non-rotating systems motion of oscillatory systems waves emergent properties of many-body systems

Lab 5 Always record uncertainty and units Never say “human error” Write clearly Be quantitative: avoid “not very accurate,” “really close” Show/explain work/calculations Use full sentences Attach separate pages to ensure you have a full report, i.e. discussion of error, diagram, further questions, difficult procedures, etc. In other classes lab write-ups are more precise

Fluid Statics What is a fluid? What type of densities are there? What is the definition of density? How do you calculate the pressure under my feet?pressure FBD for a block of fluid Calculus Atmosphere Force on pool wall A U-tube What is the physical basis for Pascal’s Principle? How can we describe it in terms of work? Ch12

Buoyancy State Archimedes’ Principle in your own words. Which has a larger buoyant force: a submerged bowling ball or a submerged soccer ball of the same size? A boat sits in water. What determines how high it sits? Will a boat sit higher in the oceanocean or a freshwater lake? Ch12

Problems When a large ice cube melts in a glass of water will the water level rise or fall? If a boat in a sealed channel were to dump a load of iron into the channel would the water level rise or fall? Does the load of the bridge (below) increase or decrease as a barge passes over it? Ch12

Fluid Dynamics How does conservation of mass apply in a fluid? How does conservation of energy apply in a fluid? What is laminar flow? What is turbulence and viscosity? Examples? Demos? A U-tube A Venturi tube Ch12