Force and Motion Dynamics

A spring is compressed from its equilibrium position. Which of the following statements best describes the direction of the spring force?

A spring with a spring constant of $500 , \text{N/m}$ is stretched by $0.2 , \text{m}$ from its equilibrium position. What is the magnitude of the spring force?

A $2 , \text{kg}$ mass is attached to a spring with a spring constant of $200 , \text{N/m}$. The spring is stretched by $0.15 , \text{m}$ from its equilibrium position and then released. What is the initial acceleration of the mass?

Two springs are arranged in series. How does the effective spring constant of the series arrangement compare to the individual spring constants?

Two springs with spring constants $k_1 = 20 , \text{N/m}$ and $k_2 = 30 , \text{N/m}$ are connected in series. What is the equivalent spring constant of the system?

A $1 , \text{kg}$ mass is hung from two springs connected in series. The spring constants are $k_1 = 10 , \text{N/m}$ and $k_2 = 20 , \text{N/m}$. What is the extension of the spring with spring constant $k_1$?

Two springs are arranged in parallel. How does the effective spring constant of the parallel arrangement compare to the individual spring constants?

Two springs with spring constants $k_1 = 40 , \text{N/m}$ and $k_2 = 60 , \text{N/m}$ are connected in parallel. What is the equivalent spring constant of the system?

Two blocks are connected by two springs in parallel. The spring constants are $k_1 = 50 , \text{N/m}$ and $k_2 = 100 , \text{N/m}$. If the system is pulled with a force of $30 , \text{N}$, what is the force in the spring with spring constant $k_1$ if each spring extends by the same amount?

A block attached to a spring oscillates on a frictionless surface. If the spring is stretched by $0.1 , \text{m}$ and the spring constant is $200 , \text{N/m}$, what is the potential energy of the spring?