Education Type | K to 12 |
Grade Level | Grade 12 |
Learning Area | |
Content/Topic | Kinematics: Motion Along a Straight Line Kinematics: Motion in 2- Dimensions and 3- Dimensions Center of Mass, Momentum, Impulse, and Collisions Gravity Fluid Mechanics Ideal Gases and the Laws of Thermodynamics |
Intended Users | Educators |
Competencies |
Convert a verbal description of a physical situation involving uniform acceleration in one dimension into a mathematical description Recognize whether or not a physical situation involves constant velocity or constant acceleration Interpret displacement and velocity, respectively, as areas under velocity vs. time and acceleration vs. time curves Interpret velocity and acceleration, respectively, as slopes of position vs. time and velocity vs. time curves Construct velocity vs. time and acceleration vs. time graphs, respectively, corresponding to a given position vs. time-graph and velocity vs. time graph and vice versa Solve for unknown quantities in equations involving one-dimensional uniformly accelerated motion Use the fact that the magnitude of acceleration due to gravity on the earth’s surface is nearly constant and approximately 9.8 m/s2 in free-fall problems Solve problems involving one-dimensional motion with constant acceleration in contexts such as, but not limited to, the “tail-gating phenomenon”, pursuit, rocket launch, and freefall problems Describe motion using the concept of relative velocities in 1d and 2d Extend the definition of position, velocity, and acceleration to 2d and 3d using vector representation Deduce the consequences of the independence of vertical and horizontal components of projectile motion Calculate range, time of flight, and maximum heights of projectiles Differentiate uniform and non-uniform circular motion Infer quantities associated with circular motion such as tangential velocity, centripetal acceleration, tangential acceleration, radius of curvature Solve problems involving two dimensional motion in contexts such as, but not limited to ledge jumping, movie stunts, basketball, safe locations during firework displays, and ferris wheels Plan and execute an experiment involving projectile motion: identifying error sources, minimizing their influence, and estimating the influence of the identified error sources on final results Differentiate center of mass and geometric center Relate the motion of center of mass of a system to the momentum and net external force acting on the system Relate the momentum, impulse, force, and time of contact in a system Explain the necessary conditions for conservation of linear momentum to be valid. Compare and contrast elastic and inelastic collisions Apply the concept of restitution coefficient in collisions Predict motion of constituent particles for different types of collisions (e.g., elastic, inelastic) Solve problems involving center of mass, impulse, and momentum in contexts such as, but not limited to, rocket motion, vehicle collisions, and ping-pong. Perform an experiment involving energy and momentum conservation and analyze the data identifying discrepancies between theoretical expectations and experimental results when appropriate Use newton’s law of gravitation to infer gravitational force, weight, and acceleration due to gravity Determine the net gravitational force on a mass given a system of point masses Discuss the physical significance of gravitational field Apply the concept of gravitational potential energy in physics problems Calculate quantities related to planetary or satellite motion Apply kepler’s 3rd law of planetary motion For circular orbits, relate kepler’s third law of planetary motion to newton’s law of gravitation and centripetal acceleration Solve gravity-related problems in contexts such as, but not limited to, inferring the mass of the earth, inferring the mass of jupiter from the motion of its moons, and calculating escape speeds from the earth and from the solar system Relate density, specific gravity, mass, and volume to each other Relate pressure to area and force Relate pressure to fluid density and depth Apply pascal’s principle in analyzing fluids in various systems Apply the concept of buoyancy and archimedes’ principle Explain the limitations of and the assumptions underlying bernoulli’s principle and the continuity equation Apply bernoulli’s principle and continuity equation, whenever appropriate, to infer relations involving pressure, elevation, speed, and flux Solve problems involving fluids in contexts such as, but not limited to, floating and sinking, swimming, magdeburg hemispheres, boat design, hydraulic devices, and balloon flight Perform an experiment involving either continuity and bernoulli’s equation or buoyancy, and analyze the data appropriately—identifying discrepancies between theoretical expectations and experimental results when appropriate Enumerate the properties of an ideal gas Solve problems involving ideal gas equations in contexts such as, but not limited to, the design of metal containers for compressed gases Distinguish among system, wall, and surroundings Interpret pv diagrams of a thermodynamic process Compute the work done by a gas using dw=pdv State the relationship between changes internal energy, work done, and thermal energy supplied through the first law of thermodynamics Differentiate the following thermodynamic processes and show them on a pv diagram: isochoric, isobaric, isothermal, adiabatic, and cyclic Use the first law of thermodynamics in combination with the known properties of adiabatic, isothermal, isobaric, and isochoric processes Solve problems involving the application of the first law of thermodynamics in contexts such as, but not limited to, the boiling of water, cooling a room with an air conditioner, diesel engines, and gases in containers with pistons Calculate the efficiency of a heat engine Describe reversible and irreversible processes Explain how entropy is a measure of disorder State the 2nd law of thermodynamics Calculate entropy changes for various processes e.g., isothermal process, free expansion, constant pressure process, etc Describe the carnot cycle (enumerate the processes involved in the cycle and illustrate the cycle on a pv diagram) State carnot’s theorem and use it to calculate the maximum possible efficiency of a heat engine Solve problems involving the application of the second law of thermodynamics in context such as, but not limited to, heat engines, heat pumps, internal combustion engines, refrigerators, and fuel economy |
Copyright | Yes |
Copyright Owner | Department of Education |
Conditions of Use | Use, Copy, Print |
File Size | 435.02 KB |
File Type | application/pdf |