### Physics Problem: Determining the Mass of a Block**Problem Statement:**Determine the mass of a block if a force of 15 N is required to start it sliding on a horizontal surface (μ = 0.40).**Concepts Involved:**- **Force (F):** The push or pull acting upon an object as a result of its interaction with another object. In this case, it is given as 15 N (Newtons).- **Frictional Force (f):** The force exerted by a surface as an object moves across it or attempts to move across it. - **Coefficient of Friction (μ):** A value that represents the relationship between the frictional force and the normal force, and it is given as 0.40.- **Normal Force (N):** The force perpendicular to the surface that supports the weight of an object resting on it. **Relevant Equations:**1. Frictional Force $ f = \mu \cdot N $2. Normal Force $ N = m \cdot g $, where: - $ m $ is the mass of the block - $ g $ is the acceleration due to gravity (9.8 m/s²)Since to start the block sliding, the applied force equals the frictional force $ F = f $, these equations can be combined as:\[ F = \mu \cdot N \]\[ 15 = 0.40 \cdot m \cdot 9.8 \]**Solving for Mass (m):**\[ m = \frac{15}{0.40 \cdot 9.8} \]\[ m = \frac{15}{3.92} \]\[ m \approx 3.83 \, \text{kg} \]Therefore, the mass of the block is approximately **3.83 kg**.**Explanation:**The text explains a common physics problem where you calculate the mass of a block based on the force required to initiate movement against friction. This involves understanding concepts like force, normal force, friction, and the coefficient of friction, and applying these to find the unknown mass.**Diagrams and Graphs:**In this context, no diagrams or graphs are provided. However, if needed, a potential diagram could include:1. A horizontal surface with the block placed on it. 2. Ar

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Description: ### Physics Problem: Determining the Mass of a Block**Problem Statement:**Determine the mass of a block if a force of 15 N is required to start it sliding on a horizontal surface (μ = 0.40).**Concepts Involved:**- **Force (F):** The push or pull act

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Determine the mass of a block if a force of 15 N is required to start it sliding on a horizontal surface (u = 0.40).

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 14PQ: A small steel I-beam (Fig. P6.14) is at rest with respect to the steel surface of a truck. The truck...

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A small steel I-beam (Fig. P6.14) is at rest with respect to the steel surface of a truck. The truck is accelerating with respect to the road. The mass of the I-beam is 5.8 103 kg. a. Draw a free-body diagram for the I-beam. b. What force or forces accelerate the I-beam with respect to the ground? c. The I-beam must remain at rest with respect to the truck. What is the maximum acceleration of the truck? Evaluate your answer. d. On the highway, the truck moves with a constant velocity. Draw a free-body diagram for the I-beam. Compare it with your diagram in part (a). FIGURE P6.14
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