Write down the time independent Schrödinger equation for the harmonic oscillator potential. Then confirm that the ground state w
ave function (n = 0) is a solution with the energy En = (1/2 + n)hw, n = 0,1,2,3... (plug in the function, differentiate, and confirm it is a solution).
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Newton's second law gives the relationship between force applied to an object, its mass and its acceleration:
where F is the force, m the mass and a the acceleration.
A force F is applied to football A, whose mass is
, and so the acceleration of this football will be given by (re-arranging the previous equation)
Similarly, the acceleration of football B will be
where
is the mass of football B, and where the force F applied to the two footballs is the same.
Since football A has greater mass than football B,
, if we compare the two previous formula we see that the acceleration of football B is greater than the acceleration of football A:
Therefore, if the same force is applied to the two footballs, football B will accelerate more than football A.
where F is the force, m the mass and a the acceleration.
A force F is applied to football A, whose mass is
Similarly, the acceleration of football B will be
where
Since football A has greater mass than football B,
Therefore, if the same force is applied to the two footballs, football B will accelerate more than football A.