I need help setting up the equations for this problem: A 45.0 g object connected

Question

I need help setting up the equations for this problem: A 45.0 g object connected to a springwith a force constant of 35.0 N/moscillates on a horizontal, frictionless surface with an amplitudeof 7.00 cm. (a) Find the total energy of the system(mJ).

(b) Find the speed of the object when the position is 1.25 cm.

(c) Find the kinetic energy when the position is 2.50 cm.

(d) Find the potential energy when the position is 2.50 cm.

I need help setting up the equations for this problem: A 45.0 g object connected to a springwith a force constant of 35.0 N/moscillates on a horizontal, frictionless surface with an amplitudeof 7.00 cm. (a) Find the total energy of the system(mJ).

(b) Find the speed of the object when the position is 1.25 cm.

(c) Find the kinetic energy when the position is 2.50 cm.

(d) Find the potential energy when the position is 2.50 cm.

(a) Find the total energy of the system(mJ).

(b) Find the speed of the object when the position is 1.25 cm.

(c) Find the kinetic energy when the position is 2.50 cm.

(d) Find the potential energy when the position is 2.50 cm.

Explanation / Answer

            Giventhat the mass of object is m = 0.045 kg            Force constant is K = 35.0 N/m             Theamplitude is A = 7.00 cm = 0.07 m -----------------------------------------------------------------------------   (a)    The total energy of thesystem is E = (1/2)KA2            (b) The speed of the object when the position isx =1.25 cm = 0.0125 mis                             v = (k/m) [ (A2 -x2) ]                                 =----------- m/s (c) The kinetic energy at x = 2.50 cm = 0.025 mis                         K.E =(1/2)mv2                                                                              where v = (k/m) [ (A2 -x2) ]                                 =----------- m/s (d) The potential energy at x = 0.025 m is                                 =----------- m/s                          U = (1/2)Kx2                               =------------ J                                   =------------ J    

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