Thursday, July 3, 2014

forces - How has the definition of gravitational potential energy been derived?


The definition of gravitational potential energy is - The gravitational potential energy of an object at a point above the ground is defined as the work done is raising it from the ground to that point against the gravity . How has this definition been derived?I think this definition has been derived by using the formula Work Done=Force*Displacement . But I don't know how to do this . can someone explain this derivation? Also, Why can't we define gravitational potential energy like this - The gravitational potential energy can be defined as the amount of work done to lift an object of mass,m to a height,h with acceleration A such that A>g in terms of magnitude? (g=gravitational acceleration)why is this definition wrong?




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classical mechanics - Moment of a force about a given axis (Torque) - Scalar or vectorial?

I am studying Statics and saw that: The moment of a force about a given axis (or Torque) is defined by the equation: $M_X = (\vec r \times \...