What is the speed of the block when it hits the spring?

1 m/s.
Before the block hits the spring, it has a speed of 1 m/s. The block’s mass of 1 kg and the spring has a spring constant of 1 N/m. This work represents energy transferred to the spring and stored in it. The energy comes from the kinetic energy of the block which is slowing down.

How do you find the maximum compression distance of a spring?

In this formula, is the spring constant, is the compression of the spring, and is the necessary force. We are given the values for the spring constant and the distance of compression. Using these terms, we can sovle for the force of the spring. Plug in our given values and solve.

What is the maximum compression in the spring if the lower block is?

If we see from lower frame of reference, a pseudo force ‘ ma ‘ acts on the block. This ‘ ma ‘ acts backward and compress spring by x. Under maximum compression the force are balanced. kx = ma. ∴ x = kma is the maximun compression.

How do you find the compression of a spring?

F = -kx. The proportional constant k is called the spring constant. It is a measure of the spring’s stiffness. When a spring is stretched or compressed, so that its length changes by an amount x from its equilibrium length, then it exerts a force F = -kx in a direction towards its equilibrium position.

How do you find the maximum kinetic energy of a block?

At the equilibrium position, the block reaches a negative velocity with a magnitude equal to the maximum velocity v=−Aω v = − A ω . The kinetic energy is maximum and equal to K=12mv2=12mA2ω2=12kA2.

What is the spring constant in n m?

k
k is the spring constant, in Newtons per meter (N/m), and x is the displacement of the spring from its equilibrium position. The spring constant, k, is representative of how stiff the spring is. Stiffer (more difficult to stretch) springs have higher spring constants.

How do you calculate the work of a spring?

Let the spring be stretched through a small distance d x dx dx. Then work done in stretching the spring through a distance d x dx dx is d W = F d x , dW=Fdx, dW=Fdx, where F is the force applied to stretch the spring.