How do you ask a question but don’t know the answer we will never know
Ratatouille is my momCan you lend me 700 because I used my toaster as a bath heater and now my legs are gone plz I need money for bandages
To solve this problem, apply the concepts related to Hooke's law. From there we will find the spring constant. Subsequently, applying Energy balance, which includes gravitational potential energy, elastic potential energy and kinetic energy, we will bury the system's energy. Finally, using the displacement expression for the simple harmonic movement, we will find the expression that describes the system.
PART A) The expression for the spring force is

Here,
k = Spring constant
x = Displacement
Rearranging to find the spring constant we have that



PART B ) The gravitational potential energy acts on the spring holds the cart is zero. Since cart is placed in the equilibrium position. The kinetic energy of the cart is zero. Therefore the expression for the total energy is,




PART C) The expression for the angular frequency is



The equation for the motion of the cart is

Replacing,

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