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?

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

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?

A spring with spring constant $k = 100 , \text{N/m}$ is initially compressed by 0.2 , \text{m}. How much work is required to stretch the spring from a compression of 0.2 , \text{m} to a stretch of 0.3 , \text{m}?

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 parallel. How does the effective spring constant of the parallel 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 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 constan...