Answer the following question:

A block of mass, m traveling on a frictionless surface at speed, v impacts an ideal spring and is brought to rest when the spring is compressed by a displacement, z. If the initial speed of the block is doubled the \fkinetic energy of the block will be 4 times greater and the spring compression when it stops will be 162. kinetic energy of the block will be 2 times greater and the spring compression when it stops will be 162. kinetic energy of the block will be 4 times greater and the spring compression when it stops will be 42. kinetic energy of the block will be 2 times greater and the spring compression when it stops will be 42. kinetic energy of the block will be 4 times greater and the spring compression when it stops will be 22. kinetic energy of the block will be 2 times greater and the spring compression when it stops will be 22