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Learning Goal: To become familiar with using the image of one instrument as the

Learning Goal: To become familiar with using the image of one instrument as the object of the next and tracing rays through a system of multiple instruments. Multiple optics refer…

Learning Goal: To become familiar with using the image of one instrument as the

Learning Goal: To become familiar with using the image of one instrument as the object of the next and tracing rays through a system of multiple instruments. Multiple optics refer…

Learning Goal: To better understand self-inductance, using the example of a long

Learning Goal: To better understand self-inductance, using the example of a long solenoid. To understand self-inductance, it is helpful to consider the specific example of a long …

Learning Goal: To calculate average and relative reaction rates. Reaction rate c

Learning Goal: To calculate average and relative reaction rates. Reaction rate can be defined either as the increase in the concentration of a product per unit time or as the decr…

Learning Goal: To calculate average and relative reaction rates. Reaction rate c

Learning Goal: To calculate average and relative reaction rates. Reaction rate can be defined either as the increase in the concentration of a product per unit time or as the decr…

Learning Goal: To calculate average and relative reaction rates. You can measure

Learning Goal: To calculate average and relative reaction rates. You can measure the rate of a reaction, just like you can measure the speed a jogger runs. While a jogger would be…

Learning Goal: To calculate the pH at the equivalence point for various types of

Learning Goal: To calculate the pH at the equivalence point for various types of titrations. A84.0mL volume of 0.25 M HBr is titrated with 0.50 M KOH. Calculate the pH after addit…

Learning Goal: To calculate the pH at the equivalence point for various types of

Learning Goal: To calculate the pH at the equivalence point for various types of titrations. The equivalence point in an acid-base titration is the point at which stoichiometrical…

Learning Goal: To convert between different solubility units and understand what

Learning Goal: To convert between different solubility units and understand what they mean. The solubility of a solute is the maximum amount that can be dissolved in a given amoun…

Learning Goal: To derive the expression for the work done by an expanding gas, d

Learning Goal: To derive the expression for the work done by an expanding gas, dW=pdV, and to understand how it follows from the expression W=Fd for mechanical work. Especially fr…

Learning Goal: To determine Cartesian force components from magnitude and determ

Learning Goal: To determine Cartesian force components from magnitude and determine position and resultant vectors by summing Cartesian components. As shown, a 3.1-lb ball is susp…

Learning Goal: To determine Cartesian force components from magnitude and determ

Learning Goal: To determine Cartesian force components from magnitude and determine position and resultant vectors by summing Cartesian components. As shown, a ball is suspended a…

Learning Goal: To determine equilibrium concentrations from initial conditions.

Learning Goal: To determine equilibrium concentrations from initial conditions. The reversible reaction XY(aq)X(aq)+Y(aq) has a reaction quotient Qc defined as Qc=[X][Y][XY] Becau…

Learning Goal: To determine equilibrium concentrations from initial conditions.

Learning Goal: To determine equilibrium concentrations from initial conditions. The reversible reaction XY(aq) double arrow X(aq)+Y(aq) Calculating equilibrium concentrations when…

Learning Goal: To determine equilibrium concentrations from initial conditions.

Learning Goal: To determine equilibrium concentrations from initial conditions. The reversible reaction XY(aq) double arrow X(aq)+Y(aq) Calculating equilibrium concentrations when…

Learning Goal: To help you understand how to interpret potential energy diagrams

Learning Goal: To help you understand how to interpret potential energy diagrams. The graphs shown here are called potential energy diagrams. They show the potential energy of a s…

Learning Goal: To introduce space-time diagrams to show that the speed of light

Learning Goal: To introduce space-time diagrams to show that the speed of light postulate necessarily makes simultaneity a relative concept. In this problem, we will introduce spa…

Learning Goal: To introduce the idea of physical dimensions and to learn how to

Learning Goal: To introduce the idea of physical dimensions and to learn how to find them. Physical quantities are generally not purely numerical: They have a particular dimension…

Learning Goal: To learn and practice the geometry skills necessary for complex r

Learning Goal: To learn and practice the geometry skills necessary for complex reflection setups. The law of reflection has the very simple form incident=reflected, where incident…

Learning Goal: To learn how to calculate ion concentrations in an aqueous soluti

Learning Goal: To learn how to calculate ion concentrations in an aqueous solution of a strong diprotic acid. Sulfuric acid, H2SO4, is a strong acid. Its complete dissociation in …

Learning Goal: To learn how to calculate the solubility from K spand vice versa.

Learning Goal: To learn how to calculate the solubility from Kspand vice versa. Consider the following equilibrium between a solid salt and its dissolved form (ions) in a saturate…

Learning Goal: To learn how to change units of physical quantities. Quantities w

Learning Goal: To learn how to change units of physical quantities. Quantities with physical dimensions like length or time must be measured with respect to a unit, a standard for…

Learning Goal: To learn how to change units of physical quantities. Quantities w

Learning Goal: To learn how to change units of physical quantities. Quantities with physical dimensions like length or time must be measured with respect to a unit, a standard for…

Learning Goal: To learn how to use the Nernst equation. The standard reduction p

Learning Goal: To learn how to use the Nernst equation. The standard reduction potentials listed in any reference table are only valid at standard-state conditions of 25 C and 1 M…

Learning Goal: To learn how to use the Nernst equation. The standard reduction p

Learning Goal: To learn how to use the Nernst equation. The standard reduction potentials listed in any reference table are only valid at standard-state conditions of 25 C and 1 M…

Learning Goal: To learn how to use the Nernst equation. The standard reduction p

Learning Goal: To learn how to use the Nernst equation. The standard reduction potentials listed in any reference table are only valid at standard-state conditions of 25 C and 1 M…

Learning Goal: To learn how to use the Nernst equation. The standard reduction p

Learning Goal: To learn how to use the Nernst equation. The standard reduction potentials listed in any reference table are only valid at standard-state conditions of 25 C and 1 M…

Learning Goal: To learn the basic terminology and relationships among the main c

Learning Goal: To learn the basic terminology and relationships among the main characteristics of simple harmonic motion. Motion that repeats itself over and over is called period…

Learning Goal: To learn the quantitative use of the lens equation, as well as ho

Learning Goal: To learn the quantitative use of the lens equation, as well as how to determine qualitative properties of solutions. In working with lenses, there are three importa…

Learning Goal: To learn the quantitative use of the lens equation, as well as ho

Learning Goal: To learn the quantitative use of the lens equation, as well as how to determine qualitative properties of solutions. In working with lenses, there are three importa…

Learning Goal: To learn the quantitative use of the lens equation, as well as ho

Learning Goal: To learn the quantitative use of the lens equation, as well as how to determine qualitative properties of solutions. In working with lenses, there are three importa…

Learning Goal: To learn the restrictions on each quantum number. Quantum numbers

Learning Goal: To learn the restrictions on each quantum number. Quantum numbers can be thought of as labels for an electron. Every electron in an atom has a unique set of four qu…

Learning Goal: To learn to apply the concept of current density and microscopic

Learning Goal: To learn to apply the concept of current density and microscopic Ohm's law. A slab of metal of volume V is made into a rod of length L. The rod carries current I wh…

Learning Goal: To learn to calculateenergy and momentum for relativistic particl

Learning Goal: To learn to calculateenergy and momentum for relativistic particles and to findrelations among a particle's energy, momentum, and mass. The first postulate of relat…

Learning Goal: To learn to find kinematic variables from a graph of position vs.

Learning Goal: To learn to find kinematic variables from a graph of position vs. time. The graph of the position of an oscillating object as a function of time is shown. Eure 1) S…

Learning Goal: To practice Problem-Solving Strategy 1.2 Unit Conversions. A gall

Learning Goal: To practice Problem-Solving Strategy 1.2 Unit Conversions. A gallon of water in the United States weighs about 8.33 lb . In other words, the density of water is 8.3…

Learning Goal: To practice Problem-Solving Strategy 10.1 Conservation of energy

Learning Goal: To practice Problem-Solving Strategy 10.1 Conservation of energy problems. An ice cube of mass 50.0 can slide without friction up and down a 25.0 slope. The ice cub…

Learning Goal: To practice Problem-Solving Strategy 11.1 Equilibrium of a Rigid

Learning Goal: To practice Problem-Solving Strategy 11.1 Equilibrium of a Rigid Body. A horizontal uniform bar of mass 2.6 and length 3.0 is hung horizontally on two vertical stri…

Learning Goal: To practice Problem-Solving Strategy 15.2 Standing Waves. In lab,

Learning Goal: To practice Problem-Solving Strategy 15.2 Standing Waves. In lab, your instructor generates a standing wave using a thin string of length L = 1.35 m fixed at both e…

Learning Goal: To practice Problem-Solving Strategy 18.1 Ideal Gases. Lethal con

Learning Goal: To practice Problem-Solving Strategy 18.1 Ideal Gases. Lethal concentrations of gases are often expressed in terms of volume fraction, that is, the fraction of avai…

Learning Goal: To practice Problem-Solving Strategy 18.1 Ideal Gases. Lethal con

Learning Goal: To practice Problem-Solving Strategy 18.1 Ideal Gases. Lethal concentrations of gases are often expressed in terms of volume fraction, that is, the fraction of avai…

Learning Goal: To practice Problem-Solving Strategy 20.1 Electric forces and Cou

Learning Goal: To practice Problem-Solving Strategy 20.1 Electric forces and Coulomb's law. Two charged particles, with charges q_1 = q and q_2 = 4q, are located at a distance d =…

Learning Goal: To practice Problem-Solving Strategy 21.2 Electric-Field Calculat

Learning Goal: To practice Problem-Solving Strategy 21.2 Electric-Field Calculations. Three positive point charges (Figure 1) are spaced equally along the y axis (x=0 ), q1 = 3.75…

Learning Goal: To practice Problem-Solving Strategy 23.1 Resistor Circuits. Find

Learning Goal: To practice Problem-Solving Strategy 23.1 Resistor Circuits. Find the currents through and the potential difference across each resistor in the circuit shown on the…

Learning Goal: To practice Problem-Solving Strategy 25.1 Electromagnetic inducti

Learning Goal: To practice Problem-Solving Strategy 25.1 Electromagnetic induction. A loop of wire of radius a = 35 mm has an electrical resistance R = 0.035 . The loop is initial…

Learning Goal: To practice Problem-Solving Strategy 25.1 Electromagnetic inducti

Learning Goal: To practice Problem-Solving Strategy 25.1 Electromagnetic induction. A loop of wire of radius a = 35 mm has an electrical resistance R = 0.035 . The loop is initial…

Learning Goal: To practice Problem-Solving Strategy 25.1 for electric force prob

Learning Goal: To practice Problem-Solving Strategy 25.1 for electric force problems. Two charged particles, with charges q1=q and q2=4q, are located at a distance d=2.00cm  apart…

Learning Goal: To practice Problem-Solving Strategy 26.2 Kirchhoffs Rules. (Figu

Learning Goal: To practice Problem-Solving Strategy 26.2 Kirchhoffs Rules. (Figure 1) The circuit diagram below shows two emf sources and a bulb connected in parallel. Also connec…

Learning Goal: To practice Problem-Solving Strategy 27.1 for Gauss\'s law proble

Learning Goal: To practice Problem-Solving Strategy 27.1 for Gauss's law problems An infinite cylindrical rod has a uniform volume charge density p (where p> 0). The cross sect…

Learning Goal: To practice Problem-Solving Strategy 28.1 Photons and energy leve

Learning Goal: To practice Problem-Solving Strategy 28.1 Photons and energy levels. In a set of experiments on a hypothetical one-electron atom, you measure the wavelengths of the…