Given the inclined plane in the diagram, determine the velocity of the 3kg ball at the bottom of the inclined plane. The plane's surface is frictionless. ### Analyzing an Inclined Plane#### Diagram Description:The image depicts a physical setup commonly referred to as an inclined plane. This is a sloped surface used to study the effects of gravity and other forces on an object. Below is a detailed description of the diagram:1. **Inclined Plane**: - The inclined plane is a right-angled triangle. - The length of the hypotenuse (the inclined surface) is labeled as **10 meters**. - The angle (θ) between the inclined plane and the horizontal ground is given as **40 degrees**. 2. **Object on the Incline**: - There is an object placed at the top of the inclined plane. - The object is labeled with a mass of **3 kilograms (Kg)**.#### Key Concepts:1. **Gravitational Force**: - The force of gravity acts downward, perpendicular to the horizontal ground. - It can be decomposed into two components: one parallel to the inclined plane and one perpendicular. 2. **Inclined Plane Angle**: - The angle θ = 40° is crucial for calculating the components of the gravitational force acting on the object. 3. **Forces Acting on the Object**: - **Perpendicular Force (Normal Force)**: This force acts perpendicular to the inclined plane surface. - **Parallel Force**: This is the component of the gravitational force that acts parallel to the surface of the inclined plane and causes the object to slide down.4. **Calculations**: - The length of the hypotenuse can be used to determine other sides of the triangle using trigonometric relationships if needed for further calculations (e.g., using sine, cosine).5. **Frictional Force**: - In cases where friction is involved, it acts opposite to the direction of the parallel force.This setup is utilized to teach and understand the principles of classical mechanics, including the resolution of forces, friction, and motion on an inclined plane.##### Example Problem:**Calculate the components of the gravitational force acting on the object parallel and perpendicular to the inclined plane.**Given:- Mass (m) = 3 kg- Angle (θ) = 40°- Gravitational acceleration (g) ≈ 9.8 m/s²Solution:- Parallel Component: \( F_{parallel} = m \cdot g \cdot

Name: Given the inclined plane in the diagram, determine the velocity of the
Uploaded: 2024-03-20T06:57:37.000Z
Channel: Bartleby
Description: Given the inclined plane in the diagram, determine the velocity of the 3kg ball at the bottom of the inclined plane. The plane's surface is frictionless. ### Analyzing an Inclined Plane#### Diagram Description:The image depicts a physical setup commo