mass = 2 kg attached to end of spring with restoring force 100 N/m mass is in a medium exerting viscous resistance 159 N when mass has velocity 6 m/s spring is stretched 0.06 m beyond natural position and released external vibrations act on mass with force of 5sin(3t) N at time t seconds how to find function expressing steady-state component of object's displacement from spring's natural position in m after t seconds if there is no gravitational force.

A 5.0 kg weight is hanging from an ideal spring with a k of 250N/m.  It is pulled .15m from equalibrium.  Find it's maximum displacement the elastic potential energy of spring just as the block is being released the maximum speed the block will have during its motion the displacement of the block from equilibrium when the kinetic energy of the block is equal to the elastic potential energy of the spring The block is then brought to rest at equilibrium. The block is then pulled down half the original distance. Will the new period for the motion of the block be greater than, less than, or equal to the original period for the motion of the block?  Why?   The first block is brought to rest at equilibrium again.  An identical block is launched up into the first block. The new block is moving with an initial speed of v=5.0m/s when it collides with and sticks to the original block. Calculate the maximum compression of the spring after the collision of the two blocks.

A 0.48-kg object connected to a light spring with a force constant of 22.8 N/m oscillates on a frictionless horizontal surface. The spring is compressed 4.0 cm and released from rest. (a) Determine the maximum speed of the object. m/s(b) Determine the speed of the object when the spring is compressed 1.5 cm. m/s(c) Determine the speed of the object as it passes the point 1.5 cm from the equilibrium position. m/s(d) For what value of x does the speed equal one-half the maximum speed? m

The 8-kg block is moving with an initial speed of 8 m/s. If the coefficient of kinetic friction between the block and plane is 0.33 = 0.25, determine the compression in the spring when the block momentarily stops. The spring constant is k = 227 N/m