Find the period and make a graph of "xv/s t", of a mass-spring system with elastic constant K=8 Kg/s² and m=2 Kg, which moves from its equilibrium position ma, distance d = 0.5m . Knowing Hooke's law perform this exercise.

A block of mass m= 3kg is attached to a light spring with a spring constant k and moves in simple harmonic motion on a frictionless horizontal surface. Initially the spring is compressed to x-01m from its equilibrium position and is given an initial velocity vo in the negative x-direction. as shown in the figure below. The maximum speed reached by the block is v = v2 m/s. The block's period of oscil- lation is T 0.889s. 4) The phaso constant o inx(t) = Acos(ot + ø) is: www

A car with a mass  m = 1000.0kg  is moving on a horizontal surface with a speed  v = 20.0m/s  when it strikes a horizontal coiled spring and is brought to rest when the spring is compressed by a distance  d = 3.0m.  Calculate the spring stiffness constant  k  by...  (a) select appropriate common equations and make appropriate substitutions that are specific to the problem, and algebraically manipulate the equations to end with an algebraic expression for the variable the problem is asking you to solve for. (b) Show the numeric substitution of given quantities and show the final numeric result. (c) Draw a free body diagram for the system and define the given quantities.

A block of mass m = 3kg is attached to a lipht spring with a spring constant k and moves in simple harmonic motion on a frictionless horizontal surface. Initially the spring is compressed to xo = -0.1 m from its equilibrium position and is given an initial velocity vo in the negative x-direction, as shown in the figure below. The maximum speed reached by the block is vmax=V2 m/s. The block's period of oscil- lation is T 0.889s. 2) The maximum displacement of the block A is: Eguilibnum a. + 0.2 m b. 0.2 cm c. 0.2 m d.- 0.2 m www m X-- 0Im