A crate of mass m=66.2 kg is on a horizontal surface. Assume there is no friction between the crate and the surface. Two forces with magnitude F=11.2 N are applied to the crate, as shown. One force is horizontal, and the other makes and angle of φ = 37.4∘ with horizontal, as shown. A. Write an expression for the magnitude of the acceleration of the crate in terms of F, m, and φ.  B. What is the magnitude of the acceleration of the crate in m

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Chapter1: Units, Trigonometry. And Vectors
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A crate of mass m=66.2 kg is on a horizontal surface. Assume there is no friction between the crate and the surface. Two forces with magnitude F=11.2 N are applied to the crate, as shown. One force is horizontal, and the other makes and angle of φ = 37.4∘ with horizontal, as shown.

A. Write an expression for the magnitude of the acceleration of the crate in terms of F, m, and φ

B. What is the magnitude of the acceleration of the crate in m/s2? 

The image depicts a wooden crate on a horizontal surface, illustrating the concept of force components. There are two green arrows labeled "F," representing the forces acting on the crate. 

1. **Horizontal Force (F)**: 
   - There is an arrow pointing to the right, directly aligned with the horizontal surface. This force indicates that an external force \( F \) is applied in the horizontal direction along the surface.

2. **Inclined Force (F)**:
   - The second arrow is inclined at an angle \( \phi \) from the horizontal surface. This force is directed downward and to the left, showing that an external force \( F \) is applied at an angle \( \phi \). 

The angle \( \phi \) illustrates the direction of the inclined force relative to the horizontal axis. This diagram is useful for understanding how forces can be broken down into components, which is essential for solving physics problems involving forces at angles.
Transcribed Image Text:The image depicts a wooden crate on a horizontal surface, illustrating the concept of force components. There are two green arrows labeled "F," representing the forces acting on the crate. 1. **Horizontal Force (F)**: - There is an arrow pointing to the right, directly aligned with the horizontal surface. This force indicates that an external force \( F \) is applied in the horizontal direction along the surface. 2. **Inclined Force (F)**: - The second arrow is inclined at an angle \( \phi \) from the horizontal surface. This force is directed downward and to the left, showing that an external force \( F \) is applied at an angle \( \phi \). The angle \( \phi \) illustrates the direction of the inclined force relative to the horizontal axis. This diagram is useful for understanding how forces can be broken down into components, which is essential for solving physics problems involving forces at angles.
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