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Solve numerically for the magnitude of the normal force, FN in Newtons, that acts on the block if θ = 30°. FN =

Solve numerically for the magnitude of the normal force, FN in Newtons, that acts on the block if θ = 30°. FN =

Physics for Scientists and Engineers: Foundations and Connections
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter6: Applications Of Newton’s Laws Of Motion
Section: Chapter Questions
Problem 8PQ: A rectangular block has a length that is five times its width and a height that is three times its...
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Solve numerically for the magnitude of the normal force, FN in Newtons, that acts on the block if θ = 30°.
FN =   

B) solve 

### Study of Forces Acting on a Block **Description:** A horizontal force, \( F_1 = 55 \, \text{N} \), and a force, \( F_2 = 10.4 \, \text{N} \) acting at an angle of \( \theta \) to the horizontal, are applied to a block of mass \( m = 4.7 \, \text{kg} \). The coefficient of kinetic friction between the block and the surface is \( \mu_k = 0.2 \). The block is moving to the right. **Randomized Variables:** - \( F_1 = 55 \, \text{N} \) - \( F_2 = 10.4 \, \text{N} \) - \( m = 4.7 \, \text{kg} \) **Diagram Explanation:** The diagram on the right illustrates the forces acting on a block of mass \( m \) on a horizontal surface. The following components are depicted in the diagram: - **Block (m)**: The block is shown with its mass (\( m \)) indicated. - **Forces**: - \( F_1 \): A horizontal force acting to the right. - \( F_2 \): Another force acting at an angle \( \theta \) to the horizontal (depicted as an arrow making an angle θ with the horizontal direction). - **Coordinate System**: - The \( x \)-axis is indicated as the horizontal axis. - The \( y \)-axis is vertical. - **Surface and Friction**: The surface under the block is labeled with the coefficient of kinetic friction (\( \mu_k \)). This setup is typically used to analyze the dynamics of the block, including the effects of the applied forces and friction on its motion.
Transcribed Image Text:### Study of Forces Acting on a Block **Description:** A horizontal force, \( F_1 = 55 \, \text{N} \), and a force, \( F_2 = 10.4 \, \text{N} \) acting at an angle of \( \theta \) to the horizontal, are applied to a block of mass \( m = 4.7 \, \text{kg} \). The coefficient of kinetic friction between the block and the surface is \( \mu_k = 0.2 \). The block is moving to the right. **Randomized Variables:** - \( F_1 = 55 \, \text{N} \) - \( F_2 = 10.4 \, \text{N} \) - \( m = 4.7 \, \text{kg} \) **Diagram Explanation:** The diagram on the right illustrates the forces acting on a block of mass \( m \) on a horizontal surface. The following components are depicted in the diagram: - **Block (m)**: The block is shown with its mass (\( m \)) indicated. - **Forces**: - \( F_1 \): A horizontal force acting to the right. - \( F_2 \): Another force acting at an angle \( \theta \) to the horizontal (depicted as an arrow making an angle θ with the horizontal direction). - **Coordinate System**: - The \( x \)-axis is indicated as the horizontal axis. - The \( y \)-axis is vertical. - **Surface and Friction**: The surface under the block is labeled with the coefficient of kinetic friction (\( \mu_k \)). This setup is typically used to analyze the dynamics of the block, including the effects of the applied forces and friction on its motion.
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 Can you Solve numerically for the magnitude of acceleration of the block, a in m/s?, if 0 = 30°?

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