5. A block of mass m = 6.7-kg is pulled, via pulley, at a constant velocity upwards along an inclined surface that is at an angle of 0 = 42°. The coefficient of kinetic friction is µ = 0.40 between the block and the surface of the incline. Draw all forces acting on the block. (a) Find EFx and EFy. (b) Find the tension in the cord and (c) the normal force acting on the block. (d) If the cord is cut, find the magnitude of the resulting acceleration of the block. (Draw the picture and define your coordinate system for this case & previous showing all forces.) Sketch and Label all the forces Define the coordinate axis for each mass. F 6.7 kg 42

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A-D. Please include labeled sketch with forces 

A block of mass \( m = 6.7 \, \text{kg} \) is pulled, via a pulley, at a constant velocity upwards along an inclined surface that is at an angle of \( \theta = 42^\circ \). The coefficient of kinetic friction is \( \mu_k = 0.40 \) between the block and the surface of the incline.

**Tasks:**

- **Draw all forces** acting on the block.
- **(a)** Find \(\Sigma F_x\) and \(\Sigma F_y\).
- **(b)** Find the tension in the cord and **(c)** the normal force acting on the block.
- **(d)** If the cord is cut, find the magnitude of the resulting acceleration of the block. *(Draw the picture and define your coordinate system for this case as previously showing all forces.)*

**Instructions:**

- **Sketch and Label all the Forces**: Define the coordinate axis for each mass.

**Diagram Description:**

The diagram shows a block of mass \( 6.7 \, \text{kg} \) on an inclined plane at an angle of \( 42^\circ \). A pulley is placed at the top of the incline with a cord pulling the block upwards along the plane. Forces should be labeled, including gravitational force, normal force, tension in the cord, and frictional force acting down the plane.
Transcribed Image Text:A block of mass \( m = 6.7 \, \text{kg} \) is pulled, via a pulley, at a constant velocity upwards along an inclined surface that is at an angle of \( \theta = 42^\circ \). The coefficient of kinetic friction is \( \mu_k = 0.40 \) between the block and the surface of the incline. **Tasks:** - **Draw all forces** acting on the block. - **(a)** Find \(\Sigma F_x\) and \(\Sigma F_y\). - **(b)** Find the tension in the cord and **(c)** the normal force acting on the block. - **(d)** If the cord is cut, find the magnitude of the resulting acceleration of the block. *(Draw the picture and define your coordinate system for this case as previously showing all forces.)* **Instructions:** - **Sketch and Label all the Forces**: Define the coordinate axis for each mass. **Diagram Description:** The diagram shows a block of mass \( 6.7 \, \text{kg} \) on an inclined plane at an angle of \( 42^\circ \). A pulley is placed at the top of the incline with a cord pulling the block upwards along the plane. Forces should be labeled, including gravitational force, normal force, tension in the cord, and frictional force acting down the plane.
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