A box of mass 20.00 kg is attached to a spring with spring constant 320.00 N/m....

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A box of mass 20.00 kg is attached to a spring with spring constant 320.00 N/m. There is negligible friction. As the box oscillates around its equilibrium position, the following initial conditions are recorded: At t = 0, the position is 1.20 meters to the right of equilibrium and moving left with a speed of 8.33 m/s: x(0) = 1.20 m v(0) = -8.33 m/s 1.20 m a. Determine the amplitude of oscillation and the phase constant. 9 out of 10 physics professors recommend that you use the function x(t) = A cos(...) in this problem Express all answers to two decimal places. b. Determine the maximum speed & the maximum acceleration of the box. c. What is the position at t = 5.00 seconds? d. What is the box's velocity (speed and direction) at 5.00 s? e. What force is exerted on the box at t = 5.00 sec? Equilibrium, x=0 SHOW the complete equation of motion [x(t) = ....] of the box. f. What is the total energy, the kinetic energy and the potential energy at t = 5.00 s? g. What is the earliest time the box will be at x = +0.250 m? h. What is the earliest time the box will be at x = -0.250 m? A box of mass 20.00 kg is attached to a spring with spring constant 320.00 N/m. There is negligible friction. As the box oscillates around its equilibrium position, the following initial conditions are recorded: At t = 0, the position is 1.20 meters to the right of equilibrium and moving left with a speed of 8.33 m/s: x(0) = 1.20 m v(0) = -8.33 m/s 1.20 m a. Determine the amplitude of oscillation and the phase constant. 9 out of 10 physics professors recommend that you use the function x(t) = A cos(...) in this problem Express all answers to two decimal places. b. Determine the maximum speed & the maximum acceleration of the box. c. What is the position at t = 5.00 seconds? d. What is the box's velocity (speed and direction) at 5.00 s? e. What force is exerted on the box at t = 5.00 sec? Equilibrium, x=0 SHOW the complete equation of motion [x(t) = ....] of the box. f. What is the total energy, the kinetic energy and the potential energy at t = 5.00 s? g. What is the earliest time the box will be at x = +0.250 m? h. What is the earliest time the box will be at x = -0.250 m?