**Educational Content: Work Done on an Inclined Plane****Problem Statement:**Calculate the work done (in joules) by an 80.0 kg man who pushes a crate 4.20 m up along a ramp that makes an angle of 20.0° with the horizontal. The man exerts a force of 550 N on the crate parallel to the ramp and moves at a constant speed. Be certain to include the work he does on the crate and on his body to get up the ramp.**Diagram Explanation:**The figure shows a person pushing a wooden crate up an inclined ramp. The ramp is on a slope with the angle of inclination labeled as 20.0° with respect to the horizontal ground. The force exerted by the person is indicated by an arrow labeled "F," pointing up the ramp parallel to its surface. The crate is shown moving upwards along the ramp.**Calculation:**The work done by the person on the crate can be calculated using the formula:\[ W = F \cdot d \cdot \cos(\theta) \]Where:- \( W \) is the work done.- \( F = 550 \, \text{N} \) is the force applied parallel to the ramp.- \( d = 4.20 \, \text{m} \) is the distance moved by the crate along the ramp.- \( \theta = 20.0° \) is the angle of the ramp with the horizontal.Substitute the values into the formula to calculate the work done.

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Calculate the work done (in J) by an 80.0 kg man who pushes a crate 4.20 m up along a ramp that makes an angle of 20.0° with the horizontal. (See the figure below.) He exerts a force of 550 N on the crate parallel to the ramp and moves at a constant speed. Be certain to include the work he does on the crate and on his body to get up the ramp. F

Calculate the work done (in J) by an 80.0 kg man who pushes a crate 4.20 m up along a ramp that makes an angle of 20.0° with the horizontal. (See the figure below.) He exerts a force of 550 N on the crate parallel to the ramp and moves at a constant speed. Be certain to include the work he does on the crate and on his body to get up the ramp. F

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Chapter1: Units, Trigonometry. And Vectors

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**Educational Content: Work Done on an Inclined Plane**

**Problem Statement:**

Calculate the work done (in joules) by an 80.0 kg man who pushes a crate 4.20 m up along a ramp that makes an angle of 20.0° with the horizontal. The man exerts a force of 550 N on the crate parallel to the ramp and moves at a constant speed. Be certain to include the work he does on the crate and on his body to get up the ramp.

**Diagram Explanation:**

The figure shows a person pushing a wooden crate up an inclined ramp. The ramp is on a slope with the angle of inclination labeled as 20.0° with respect to the horizontal ground. The force exerted by the person is indicated by an arrow labeled "F," pointing up the ramp parallel to its surface. The crate is shown moving upwards along the ramp.

**Calculation:**

The work done by the person on the crate can be calculated using the formula:

\[ W = F \cdot d \cdot \cos(\theta) \]

Where:
- \( W \) is the work done.
- \( F = 550 \, \text{N} \) is the force applied parallel to the ramp.
- \( d = 4.20 \, \text{m} \) is the distance moved by the crate along the ramp.
- \( \theta = 20.0° \) is the angle of the ramp with the horizontal.

Substitute the values into the formula to calculate the work done.

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