constant velocity a distance 8.0 m along a 30° incline by the horizontal force F → . The coefficient of kinetic friction between the crate and the incline is µk = 0.40. Calculate the work done by (a) the applied force, (b) the frictional force, (c) the gravitational force, and (d) the net force. Work was not found in previous answer... how to calculate delta s and work for a,b,c,d?

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Shown below is a 40-kg crate that is pushed at
constant velocity a distance 8.0 m along a 30° incline by
the horizontal force F
→ . The coefficient of kinetic friction
between the crate and the incline is µk = 0.40. Calculate
the work done by (a) the applied force, (b) the frictional
force, (c) the gravitational force, and (d) the net force.

Work was not found in previous answer... how to calculate delta s and work for a,b,c,d?

**Problem Statement:**

Shown below is a 40-kg crate that is pushed at constant velocity a distance 8.0 m along a 30° incline by the horizontal force \( \vec{F} \). The coefficient of kinetic friction between the crate and the incline is \( \mu_k = 0.40 \). Calculate the work done by (a) the applied force, (b) the frictional force, (c) the gravitational force, and (d) the net force.

**Diagram Description:**

- The diagram shows an inclined plane with a 30° angle.
- A crate with mass 40 kg is positioned on the incline.
- A horizontal force \( \vec{F} \) is applied to the crate, indicated by an arrow pointing left.
- The incline and the crate form a classic physics problem setup for analyzing motion, force, and friction on an inclined plane.

**Calculations to be Conducted:**

1. **Work Done by the Applied Force:**
   - This involves calculating the horizontal component of the force that causes the crate to move along an inclined plane.

2. **Work Done by the Frictional Force:**
   - Calculate using the coefficient of kinetic friction and the normal force acting on the crate.

3. **Work Done by the Gravitational Force:**
   - Determine how the gravitational component parallel to the incline affects the motion of the crate.

4. **Work Done by the Net Force:**
   - Sum of all work done by each force to assess the overall energy change associated with moving the crate.
Transcribed Image Text:**Problem Statement:** Shown below is a 40-kg crate that is pushed at constant velocity a distance 8.0 m along a 30° incline by the horizontal force \( \vec{F} \). The coefficient of kinetic friction between the crate and the incline is \( \mu_k = 0.40 \). Calculate the work done by (a) the applied force, (b) the frictional force, (c) the gravitational force, and (d) the net force. **Diagram Description:** - The diagram shows an inclined plane with a 30° angle. - A crate with mass 40 kg is positioned on the incline. - A horizontal force \( \vec{F} \) is applied to the crate, indicated by an arrow pointing left. - The incline and the crate form a classic physics problem setup for analyzing motion, force, and friction on an inclined plane. **Calculations to be Conducted:** 1. **Work Done by the Applied Force:** - This involves calculating the horizontal component of the force that causes the crate to move along an inclined plane. 2. **Work Done by the Frictional Force:** - Calculate using the coefficient of kinetic friction and the normal force acting on the crate. 3. **Work Done by the Gravitational Force:** - Determine how the gravitational component parallel to the incline affects the motion of the crate. 4. **Work Done by the Net Force:** - Sum of all work done by each force to assess the overall energy change associated with moving the crate.
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