Two forces, F1 and F2, act on the 7.00-kg block shown in the drawing. The angles made by the forces with horizontal are equal to 40 degrees. The magnitudes of the forces are F1= 59 0 N and F2 = 49.0 N. The coefficient of kinetic friction between the block and the surface is 0.1.
Two forces, F1 and F2, act on the 7.00-kg block shown in the drawing. The angles made by the forces with horizontal are equal to 40 degrees. The magnitudes of the forces are F1= 59 0 N and F2 = 49.0 N. The coefficient of kinetic friction between the block and the surface is 0.1.
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Two forces, F1 and F2, act on the 7.00-kg block shown in the drawing. The angles made by the forces with horizontal are equal to 40 degrees. The magnitudes of the forces are F1= 59 0 N and F2 = 49.0 N. The coefficient of kinetic friction between the block and the surface is 0.1.
![**1. Show all work in detail:** Two forces, \( F_1 \) and \( F_2 \), act on the 7.00-kg block shown in the drawing. The angles made by the forces with the horizontal are equal to \( 40^\circ \). The magnitudes of the forces are \( F_1 = 59.0 \, \text{N} \) and \( F_2 = 49.0 \, \text{N} \). The coefficient of kinetic friction between the block and the surface is 0.1.
a. Draw a free body diagram to show all forces and their components.
b. Determine the kinetic friction force.
c. What is the horizontal acceleration (magnitude and direction) of the block?
**Diagram Explanation:**
The diagram includes a block on a flat surface. Two forces, \( F_1 \) and \( F_2 \), are applied at an angle of \( 40^\circ \) relative to the horizontal. \( F_1 \) is directed to the right, and \( F_2 \) is directed to the left. Component forces can be derived from these angles for calculation purposes.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff90e9f76-a8ee-4e86-857e-4cb9f0bb2381%2F0695f3c8-9c45-48e3-97de-beaf4463a93a%2Fckzz4no_processed.png&w=3840&q=75)
Transcribed Image Text:**1. Show all work in detail:** Two forces, \( F_1 \) and \( F_2 \), act on the 7.00-kg block shown in the drawing. The angles made by the forces with the horizontal are equal to \( 40^\circ \). The magnitudes of the forces are \( F_1 = 59.0 \, \text{N} \) and \( F_2 = 49.0 \, \text{N} \). The coefficient of kinetic friction between the block and the surface is 0.1.
a. Draw a free body diagram to show all forces and their components.
b. Determine the kinetic friction force.
c. What is the horizontal acceleration (magnitude and direction) of the block?
**Diagram Explanation:**
The diagram includes a block on a flat surface. Two forces, \( F_1 \) and \( F_2 \), are applied at an angle of \( 40^\circ \) relative to the horizontal. \( F_1 \) is directed to the right, and \( F_2 \) is directed to the left. Component forces can be derived from these angles for calculation purposes.
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