MrKochinsky5451 MrKochinsky5451

07-06-2023
Physics

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A block with mass m = 10 kg is attached to a spring with constant k = 200 N/m and natural length L = 4 m. At its equilibrium position, the block is given a speed v0 = 5 m/s to the right.
a. Draw a diagram of the problem, including all relevant variables and a coordinate system.
b. Calculate the block’s angular frequency and oscillation amplitude.
c. Calculate the block’s total energy at time t = 5 s. (Hint: you need not solve for kinetic and potential energies separately. Think carefully before you begin solving.)
d. Write the velocity equation for the oscillator as a function of time, filling in all known variables. Leave velocity and time as variables.

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