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Use work and energy principles to calculate a speed or a height or an energy value. Most problems include little to no little scaffolding. Includes 10 problems.
On the following pages you will find some problems of work and energy with solutions. Try to do them before looking at the solution. Work and Energy - Work done by a constant force. Work and Energy - Work done by the weight force and potential energy.
If an object of mass 2 kg is thrown up from the ground reaches a height of 5 m and falls back to the Earth (neglect the air resistance). Calculate. a) The work done by gravity when the object reaches 5 m height. b) The work done by gravity when the object comes back to Earth.
This collection of problem sets and problems target student ability to use energy principles to analyze a variety of motion scenarios.
Review the units of work, energy, force, and distance. Use the equations for mechanical energy and work to show what is work and what is not. Make it clear why holding something off the ground or carrying something over a level surface is not work in the scientific sense.
Problem 3.1. A toy train rolls along a straight, frictionless track, parallel to the x-axis. As it rolls, it experiences a force given by the equation: →F = F(x)[0.600 ˆi + 0.800 ˆj] The function F(x) can be expressed by the graph below.
This example shows how we can start to think about energy as something that is "conserved'', which we will explore in more detail in the next chapter. Exercise \(\PageIndex{2}\) A child of mass \(m\) sits on a swing of length \(L\), as in Figure \(\PageIndex{3}\).
