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PLEASE ANSWER ALL 3 WILL THUMBS UP 1) A force of 540 newtons stretches a spring...

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Advance Math

PLEASE ANSWER ALL 3 WILL THUMBS UP

1) A force of 540 newtons stretches a spring 3 meters. A mass of45 kilograms is attached to the end of the spring and is initiallyreleased from the equilibrium position with an upward velocity of 8m/s. Find the equation of motion.

x(t)=? m

2) Find the charge on the capacitor and the current in anLC-series circuit when L = 0.1 h, C = 0.1 f, E(t) = 100sin(?t) V, q(0) = 0 C, and i(0) = 0 A

q(t)= ?

i(t)= ?

3) Find the steady state current i_p(t) in anLRC-series circuit when L = 1/2 h, R= 20 ohms, C= 0.001 fand E(t) = 400sin(60t)+500cos(40t) V

i_p(t)= ?

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