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Forces at a distance are explained by fields (gravitational, electric, and magnetic) permeating space that can transfer energy through space. Magnets or electric currents cause magnetic fields; electric charges or changing magnetic fields cause electric fields. 

Learn how you can calculate the maximum height of a launched object by using the total energy of a system. Energy that is conserved can be transferred within a system from one object to another changing the characteristics of each object, like position. 

Mathematical expressions, which quantify how the stored energy in a system depends on its configuration (e.g. relative positions of charged particles, compression of a spring) and how kinetic energy depends on mass and speed, allow the concept of conservation of energy to be used to predict and describe system behaviour.

Learn how you can calculate the launch velocity of an object by using the total energy of a system. Energy that is conserved can be transferred within a system from one object to another changing the characteristics of each object, like velocity.

The amount of effort saved when using machines is called mechanical advantage (MA). Simple machines use mechanical advantage as a key property to their functionality, helping humans perform tasks that would require more force than a person could produce. We will use the lever as an example of a simple machine to illustrate the concept of mechanical advantage.

When two objects interacting through a field change relative position, the energy stored in the field is changed.

• Explain the Conservation of Mechanical Energy concept using kinetic energy (KE) and gravitational potential energy (PE).
• Describe how the Energy Bar and Pie Charts relate to position and speed.
• Explain how changing the Skater Mass affects energy.
• Explain how changing the Track Friction affects energy.
• Predict position or estimate speed from Energy Bar and Pie Charts.
• Calculate speed or height at one position from information about a different position.
• Calculate KE and PE at one position from information about a different position.
• Design a skate park using the concepts of mechanical energy and energy conservation.

Video 1: What are frequency polygons?
Video 2: Examples of frequency polygons
Video 3: Further examples of frequency polygons

By the end of this unit you will be able to:

• Calculate measures of central tendency and percentiles on grouped data.
• Construct a frequency polygon.
• Construct a line graph.

This video explores how to find the mean from data in a table.