Motion Graphs and Energy

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Questions and Answers

On a distance-time graph, what does the slope of the line represent?

  • Time
  • Displacement
  • Velocity (correct)
  • Acceleration

A changing slope on a velocity-time graph indicates constant velocity.

False (B)

Define the term 'vector' and provide an example of a vector quantity.

A vector is a quantity that has both magnitude and direction. Example: velocity, displacement, force or acceleration.

The formula that relates final velocity ($v_f$), initial velocity ($v_i$), acceleration ($a$), and displacement ($\Delta x$) is $v_f^2 = v_i^2 + 2 \cdot a \cdot$ ______.

<p>Δx</p> Signup and view all the answers

Match each type of energy with its correct description:

<p>Mechanical Energy = The sum of potential and kinetic energy in a system Kinetic Energy = The energy of motion Potential Energy = Stored energy due to an object's position or condition</p> Signup and view all the answers

What is 'waste energy' in the context of energy efficiency?

<p>Energy that is lost to the surroundings, often as heat or sound. (A)</p> Signup and view all the answers

The number 0.005020 has three significant digits.

<p>False (B)</p> Signup and view all the answers

Convert 25 degrees Celsius to Kelvin. (Assume the equation is $K = C + 273.15$)

<p>298.15 K</p> Signup and view all the answers

In a boiler, ______ energy from burning fuel is converted into thermal energy to heat water and produce steam.

<p>chemical</p> Signup and view all the answers

Match each engine type with its typical application:

<p>Internal Combustion Engine = Automobiles External Combustion Engine = Steam locomotives Electric Motor = Electric Vehicles</p> Signup and view all the answers

Which of the following is an example of a non-renewable energy resource?

<p>Natural gas (D)</p> Signup and view all the answers

Two objects are represented on the same distance-time graph. If object A has a steeper slope than object B, what can you conclude?

<p>Object A is moving at a higher velocity than object B. (C)</p> Signup and view all the answers

Displacement is a scalar quantity because it only considers the distance between the starting and ending points.

<p>False (B)</p> Signup and view all the answers

A car accelerates from rest to 20 m/s in 5 seconds. Calculate the acceleration. (Assume constant acceleration)

<p>4 m/s²</p> Signup and view all the answers

Gravitational potential energy is calculated using the formula $PE = m \cdot g \cdot$ ______, where m is mass and g is the acceleration due to gravity.

<p>h</p> Signup and view all the answers

Match each energy conversion with its example:

<p>Potential to Kinetic = A ball rolling down a hill Chemical to Thermal = Burning wood in a fireplace Radiant to Electrical = Solar panels generating electricity</p> Signup and view all the answers

Which of the following best describes the first law of thermodynamics?

<p>Energy cannot be created or destroyed, only transferred or converted. (C)</p> Signup and view all the answers

A diesel engine is generally more fuel-efficient than a gasoline engine because it operates at a lower compression ratio.

<p>False (B)</p> Signup and view all the answers

Give an example of how solar energy can be converted into electrical energy.

<p>Photovoltaic cells (solar panels) directly convert sunlight into electricity through the photovoltaic effect.</p> Signup and view all the answers

The efficiency of an energy conversion process is defined as the ratio of useful energy output to total energy ______.

<p>input</p> Signup and view all the answers

Flashcards

Distance-Time Graph

A graph showing distance traveled over time. Slope indicates speed.

Velocity-Time Graph

A graph showing velocity changes over time. Slope indicates acceleration.

Slope of Distance-Time Graph

The slope of a distance-time graph represents the average velocity. Calculated as change in distance divided by change in time.

Slope of Velocity-Time Graph

The slope of a velocity-time graph represents the average acceleration. Calculated as change in velocity divided by change in time.

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Changing Slope

Changing slope on a distance-time graph indicates changing velocity (acceleration or deceleration). Changing slope on a velocity-time graph indicates changing acceleration.

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Comparing Slopes

On the same graph, a steeper slope indicates a higher speed (distance-time) or a greater acceleration (velocity-time).

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Vector vs. Scalar

Vector quantities have both magnitude and direction (e.g., velocity, displacement, force). Scalar quantities have only magnitude (e.g., speed, distance, mass).

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Kinetic Energy

The energy an object has due to its motion.

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Potential Energy

The energy an object has due to its position or condition.

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Efficiency

Efficiency is the ratio of useful energy output to total energy input.

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Significant Digits

Digits in a number that contribute to its precision. Non-zero digits are always significant; zeros between non-zero digits are significant; leading zeros are not significant.

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Scientific Notation

A method of writing very large or very small numbers using powers of 10.

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Energy Conversion

Conversion of energy from one form to another. For example, chemical to thermal in combustion.

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Thermodynamic System

A closed system where energy can be transferred in or out.

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Boiler Conversions

In a boiler, chemical energy (fuel) converts to thermal energy (heat), which then converts water to steam (kinetic energy).

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Renewable Resources

Resources that can be replenished at the same rate they are used (e.g., solar, wind, hydro).

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Nonrenewable Resources

Resources that are finite and cannot be replenished at the same rate they are used (e.g., fossil fuels, nuclear).

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Mechanical Energy

Total energy is sum of kinetic and potential energies in a mechanical system.

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Study Notes

  • Analysis of distance/time and velocity/time graphs is essential.
  • Calculations of slopes for both types of graphs are required.
  • Interpretation of what the slope represents in each graph type is needed.
  • Understanding changing slopes within distance/time and velocity/time graphs is necessary.
  • Proficiency to compare different objects' motion on the same graph is important.
  • Differentiation between vector and scalar quantities, including their meanings, is needed.
  • Application and manipulation of kinematic formulas to solve for unknowns is essential.
  • Calculations make up over half the exam.
  • Understanding the relationships between mechanical, kinetic, and potential energy is vital.
  • Knowledge of efficiency and the connections between total, useful, and waste (lost) energy is important.
  • Ability to determine significant digits.
  • Skill in unit conversions.
  • Use of scientific notation.
  • Grasp of energy conversions and the laws of thermodynamics is needed.
  • Knowledge of energy conversions inside a boiler is required.
  • Familiarity with different types of engines and their relative advantages is needed.
  • Understanding of renewable and non-renewable resources, including their energy use and conversion, is essential.

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