Block A, with mass 13 kg, sits on an incline of 0.58 radians above the horizontal. An attached (massless) string passes through a massless, frictionless pulley at the top of the incline as shown: The coefficient of kinetic friction between block A and the incline is given as 0.43.

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Block A, with mass 13 kg, sits on an incline of 0.58 radians above the horizontal. An attached (massless) string passes through a massless, frictionless pulley at the top of the incline as shown: The coefficient of kinetic friction between block A and the incline is given as 0.43. When the system is released from rest, block B accelerates downward at 2.2 m/s2. What is the mass of block B? Express your answer in kg, to at least one digit after the decimal point.
The image depicts a physics diagram illustrating a mechanical system with two blocks labeled A and B. Here is a detailed explanation:

- **Block A**: This block is positioned on an inclined plane. The inclined plane is shown with a rough surface, indicating friction may play a role in the system's behavior.

- **Inclined Plane**: The plane is set at an angle to the horizontal. The angle of the incline is not specified but is crucial for calculating forces acting on block A, such as gravitational components and friction.

- **Pulley System**: At the top of the incline, there is a pulley. A rope passes over the pulley, connecting block A on the inclined plane to block B, which hangs vertically. The pulley is assumed to be frictionless according to standard physics problems unless otherwise stated.

- **Block B**: This block hangs from the rope on the other side of the pulley. It is positioned vertically downward due to gravity.

The setup is typical for illustrating principles of mechanics, including Newton’s laws, frictional forces, gravitational forces, and tension in the rope. The purpose of this setup could be to analyze the motion of the blocks, determine the acceleration of either block, or calculate the tension in the rope.
Transcribed Image Text:The image depicts a physics diagram illustrating a mechanical system with two blocks labeled A and B. Here is a detailed explanation: - **Block A**: This block is positioned on an inclined plane. The inclined plane is shown with a rough surface, indicating friction may play a role in the system's behavior. - **Inclined Plane**: The plane is set at an angle to the horizontal. The angle of the incline is not specified but is crucial for calculating forces acting on block A, such as gravitational components and friction. - **Pulley System**: At the top of the incline, there is a pulley. A rope passes over the pulley, connecting block A on the inclined plane to block B, which hangs vertically. The pulley is assumed to be frictionless according to standard physics problems unless otherwise stated. - **Block B**: This block hangs from the rope on the other side of the pulley. It is positioned vertically downward due to gravity. The setup is typical for illustrating principles of mechanics, including Newton’s laws, frictional forces, gravitational forces, and tension in the rope. The purpose of this setup could be to analyze the motion of the blocks, determine the acceleration of either block, or calculate the tension in the rope.
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