Three blocks are connected as shown in the diagram above. Block A has a mass of 1.1 kg and hangs from a (massless) string that runs over a (massless and frictionless) pulley. The other end of the string is connected to Block B which has a mass of 3.5 kg. The other side of Block B is connected to a (massless) string that runs over a (massless and frictionless) pulley and then connects to the hanging Block C which has a mass of 1.7 kg.Block B is sliding down an (essentially frictionless) plane that is inclined at an angle of θ = 23 degrees from the horizontal, as shown. All of the blocks move together when they are released from rest. Block B slides down and to the right. What is the speed of Block B (in units of meters per second) after it has slid a distance d2 = 0.23 meters, starting from rest? ### Description of the System:The diagram illustrates a pulley system with an inclined plane.**Components:**- **Block A** (Yellow): This block is hanging vertically on the left side, connected by a rope over a pulley.- **Block B** (Green): Positioned on the inclined plane, this block is subject to forces due to gravity and tension in the connecting rope.- **Block C** (Purple): Suspended vertically on the right side, similarly connected by a rope over another pulley.**Inclined Plane:**- The plane is tilted at an angle \(\theta\) with respect to the horizontal. This angle is crucial for analyzing the component of gravitational force acting on Block B along the plane.**Forces and Tensions:**- The red line represents the rope, indicating the path of tension throughout the system from Block A to Block C.- Two pulleys are positioned at the top of each vertical structure on either side of the inclined plane, facilitating the movement of the rope connecting the blocks.This setup is frequently used to study mechanical advantage, force distribution, and acceleration within physics, especially under Newtonian mechanics.

Given Block A mass = 1.1 kg Block B mass = 3.5 kg Block C mass = 1.7 kg Angle = 23°…

Three blocks are connected as shown in the diagram above. Block A has a mass of 1.1 kg and hangs from a (massless) string that runs over a (massless and frictionless) pulley. The other end of the string is connected to Block B which has a mass of 3.5 kg. The other side of Block B is connected to a (massless) string that runs over a (massless and frictionless) pulley and then connects to the hanging Block C which has a mass of 1.7 kg. Block B is sliding down an (essentially frictionless) plane that is inclined at an angle of θ = 23 degrees from the horizontal, as shown. All of the blocks move together when they are released from rest. Block B slides down and to the right. What is the speed of Block B (in units of meters per second) after it has slid a distance d2 = 0.23 meters, starting from rest?

Three blocks are connected as shown in the diagram above. Block A has a mass of 1.1 kg and hangs from a (massless) string that runs over a (massless and frictionless) pulley. The other end of the string is connected to Block B which has a mass of 3.5 kg. The other side of Block B is connected to a (massless) string that runs over a (massless and frictionless) pulley and then connects to the hanging Block C which has a mass of 1.7 kg. Block B is sliding down an (essentially frictionless) plane that is inclined at an angle of θ = 23 degrees from the horizontal, as shown. All of the blocks move together when they are released from rest. Block B slides down and to the right. What is the speed of Block B (in units of meters per second) after it has slid a distance d2 = 0.23 meters, starting from rest?

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Question

Block B is sliding down an (essentially frictionless) plane that is inclined at an angle of θ = 23 degrees from the horizontal, as shown. All of the blocks move together when they are released from rest. Block B slides down and to the right. What is the speed of Block B (in units of meters per second) after it has slid a distance d₂ = 0.23 meters, starting from rest?

### Description of the System:

The diagram illustrates a pulley system with an inclined plane.

**Components:**

- **Block A** (Yellow): This block is hanging vertically on the left side, connected by a rope over a pulley.
- **Block B** (Green): Positioned on the inclined plane, this block is subject to forces due to gravity and tension in the connecting rope.
- **Block C** (Purple): Suspended vertically on the right side, similarly connected by a rope over another pulley.

**Inclined Plane:**

- The plane is tilted at an angle \(\theta\) with respect to the horizontal. This angle is crucial for analyzing the component of gravitational force acting on Block B along the plane.

**Forces and Tensions:**

- The red line represents the rope, indicating the path of tension throughout the system from Block A to Block C.
- Two pulleys are positioned at the top of each vertical structure on either side of the inclined plane, facilitating the movement of the rope connecting the blocks.

This setup is frequently used to study mechanical advantage, force distribution, and acceleration within physics, especially under Newtonian mechanics.

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