A block of mass 13 kg is pushed by a stick that is oriented at and angle 51° with the horizontal direction and is being pulled by a horizontal string at the same time. The block is moving along the floor with a constant velocity to the left. There is kinetic friction between the block and the floor. Given that the normal force exerted by the stick on the block is 29 N and the tension on the block is 54 N, find the coefficient of kinetic friction between the floor and the block, k, that allows the block to slide with constant velocity. Use g = 9.8 m/s² and retain your answer to two decimal places. You are encouraged to draw a free-body diagram in your solution, which will provide you with partial credit if you submit your self-grading later. V string 0 stick m fk

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Chapter1: Units, Trigonometry. And Vectors
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A block of mass 13 kg is pushed by a stick that is oriented at an angle 51º with the horizontal direction and is being pulled by a horizontal string at the same time. The block is moving along the floor with a constant velocity to the left. There is kinetic friction between the block and the floor. Given that the normal force exerted by the stick on the block is 29 N and the tension on the block is 54 N, find the coefficient of kinetic friction between the floor and the block, μₖ, that allows the block to slide with constant velocity. Use g = 9.8 m/s² and retain your answer to two decimal places. You are encouraged to draw a free-body diagram in your solution, which will provide you with partial credit if you submit your self-grading later.

**Diagram Explanation:**

The diagram shows a block on a horizontal surface pushed by a stick and pulled by a string. Key elements include:
- The stick makes an angle θ (51º) with the horizontal.
- A horizontal arrow representing velocity (v) pointing to the left.
- The string is horizontal and attached to the block.
- The frictional force (μₖ) acts at the contact surface between the block and the floor.
Transcribed Image Text:A block of mass 13 kg is pushed by a stick that is oriented at an angle 51º with the horizontal direction and is being pulled by a horizontal string at the same time. The block is moving along the floor with a constant velocity to the left. There is kinetic friction between the block and the floor. Given that the normal force exerted by the stick on the block is 29 N and the tension on the block is 54 N, find the coefficient of kinetic friction between the floor and the block, μₖ, that allows the block to slide with constant velocity. Use g = 9.8 m/s² and retain your answer to two decimal places. You are encouraged to draw a free-body diagram in your solution, which will provide you with partial credit if you submit your self-grading later. **Diagram Explanation:** The diagram shows a block on a horizontal surface pushed by a stick and pulled by a string. Key elements include: - The stick makes an angle θ (51º) with the horizontal. - A horizontal arrow representing velocity (v) pointing to the left. - The string is horizontal and attached to the block. - The frictional force (μₖ) acts at the contact surface between the block and the floor.
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