Two identical, massless, springs are placed in series. A mass of is hung from them. After all oscillations have stopped, the total length is . Calculate the spring constant of an individual spring.

Two springs with unknown constants are hung from a ceiling. However, we do know that the constant of one is four times that of the other. A block of mass is attached to both springs and the system drops . If you then manually stretch the system another , what is the total potential energy stored in the weaker spring?

A spring of rest length is used to hold up a rocket from the bottom as it is prepared for the launch pad. The spring compresses to .

Later, the same spring is used to support a rocket of mass . Determine the compression.

An object is attached to a spring, and is stretched 3m. If the restoring force is equal to , what is the spring constant?

Two springs with unknown constants are attached in a linear fashion and hung from a ceiling. However, we do know that the constant of one spring is times that of the other. If a mass of is attached to the lower spring and the system stretches a total distance of , what is the constant of the weaker spring?

A narrow spring is placed inside a wider spring of the same length. The spring constant of the wider spring is twice that of the narrow spring. The two-spring-system is used to hold up a box of mass . They compress by .

Determine the spring constant of the narrower spring.

A spring is attached to the ceiling of an elevator with a block of mass hanging from it. If the displacement of the spring is while the elevator is at rest, what is the displacement of the spring when the elevator begins accelerating upward at a rate of .

Two springs with unknown constants are attached in a linear fashion and hung from a ceiling. However, we do know that the constant of one spring is twice that of the other. A mass of is attached to the bottom spring and the system drops . If you manually pull down the mass so the system stretches another , what is the maximum velocity of the block?

Two springs are attached independently from a ceiling with the constant of one being and the second constant being . A third spring with a constant is then attached to the bottom of both of the other springs. What is the total equivalent spring constant of this system?

A spring is attached to a rope that is hanging from the ceiling. A block of mass is attached to the end of the spring which has a constant of . If the maximum tension felt in the rope is , what is the amplitude of the spring?

Ignore the mass of the rope and spring and assume simple harmonic motion.