If the average movement of the particles in a sweater increases, what will happen to the sweater's temperature?
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To solve this exercise it is necessary to apply the equations concerning Work, both by general definition and by conservation of energy.
In other words, the work done by an object due to gravity is the equivalent to that defined by the potential energy equations, that is
Where,
m=mass
g=gravitational acceleration
Change in height
On the other hand we have that the work done by tension is defined by the conservation of kinetic and potential energy, that is to say
Where,
Change in Kinetic Energy
Change in Potential Energy
PART A) As defined by the work done by gravity would be given by,
Therefore the work done by gravity is 25.725kJ
PART B) The work done by the tension applies the energy conservation equation, that is to say
Replacing with our values,
Therefore the work done by tension is 25.9kJ
The angular speed of the minute hand is the ratio between the angle covered and the time taken. The angle covered by the minute hand is 
, while the time needed is 
, so the angular speed is
And the tangential speed is given by
And the tangential speed is given by