**The Diagram to the Right Shows a 0.100 kg Block: Understanding the Physics Behind**

**The Scenario**

The diagram to the right shows a 0.100 kg block attached to a horizontal, massless spring with a force constant of 50.0 N/m. The block is displaced 0.200 m from its equilibrium position and then released from rest.

**The Physics Involved**

To understand the motion of the block, we need to consider the forces acting on it. When the block is displaced from its equilibrium position, the spring exerts a force on the block, trying to restore it to its original position. This force is known as the **restoring force**.

The **Hooke's Law** states that the restoring force (F) of a spring is proportional to the displacement (x) of the spring from its equilibrium position:

**F = -kx**

where k is the force constant of the spring.

In this case, the force constant (k) is 50.0 N/m, and the displacement (x) is 0.200 m. We can calculate the restoring force (F) as follows:

**F = -50.0 N/m * 0.200 m = -10.0 N**

The negative sign indicates that the force is directed towards the equilibrium position.

**The Block's Motion**

When the block is released from rest, it begins to accelerate towards its equilibrium position due to the restoring force. The **acceleration** (a) of the block can be calculated using **Newton's Second Law**:

**F = ma**

where m is the mass of the block (0.100 kg) and a is the acceleration.

Rearranging the equation to solve for acceleration, we get:

**a = F / m = -10.0 N / 0.100 kg = -100 m/s^2**

The negative sign indicates that the acceleration is directed towards the equilibrium position.

**Conclusions**

In conclusion, the diagram to the right shows a 0.100 kg block attached to a horizontal, massless spring. When the block is displaced from its equilibrium position and released from rest, it accelerates towards its equilibrium position due to the restoring force of the spring. By applying Hooke's Law and Newton's Second Law, we can calculate the restoring force and acceleration of the block, respectively.