# Homeworkify AI Homework Helper , Scan Solve Learn : Physics Demo

TLDRIn this physics demonstration, a step-by-step approach is taken to solve a problem involving work done by a force. Given a force of 15N at a 45-degree angle to the horizontal and a displacement of 49 meters, the video explains how to calculate the work done by finding the horizontal component of the force and applying the work formula. The result is 520.89 Joules, which is then converted to 0.1244 kilo calories, providing a clear and concise explanation of the physics concept.

### Takeaways

- 🔍 A physics problem is being solved step-by-step.
- 📏 Given information includes a force of 15N, an angle of 45 degrees with the horizontal, and a distance of 49 meters.
- 🔧 The goal is to find the work done by the force.
- 📘 The formula for work done by a force is work = force x displacement x cos(angle).
- 📐 The force's horizontal component is found using trigonometry: 15N * cos(45 degrees) = 10.61N.
- ⚙️ Work is calculated using the horizontal component of the force and the displacement.
- 📉 The angle between the horizontal direction and displacement is 0 degrees.
- 📊 The calculated work is 520.89 Joules.
- 🔄 To convert Joules to kilo calories (KCAL), divide by 4184.
- 📈 The work done is equivalent to 0.1244 kilo calories.
- 🤔 The video offers help for any further physics questions.

### Q & A

### What is the given force in the physics problem presented?

-The given force in the problem is 15 Newtons (15 N).

### What is the angle between the force and the horizontal?

-The angle between the force and the horizontal is 45 degrees.

### What is the distance over which the force is applied?

-The distance over which the force is applied is 49 meters.

### What is the formula for work done by a force?

-The formula for work done by a force is work = force × displacement × cos(angle), where angle is the angle between the force and the displacement.

### How is the horizontal component of the force calculated?

-The horizontal component of the force is calculated using the formula: horizontal component of force = force × cos(angle).

### What is the calculated horizontal component of the force in the problem?

-The calculated horizontal component of the force is 10.61 Newtons (10.61 N).

### How is the work done by the force determined when the force is acting horizontally?

-The work done by the force when it is acting horizontally is determined using the formula: work = horizontal component of force × displacement × cos(0 degrees).

### What is the work done by the force in Joules?

-The work done by the force in Joules is 520.89 Joules (520.89 J).

### How can the work done in Joules be converted to kilo calories (KCAL)?

-To convert the work done from Joules to kilo calories (KCAL), you divide the work in Joules by 4184.

### What is the equivalent work done in kilo calories (KCAL)?

-The equivalent work done in kilo calories (KCAL) is 0.1244 KCAL.

### What additional information can be provided to further understand the physics problem?

-To further understand the problem, one could explore the implications of different angles and distances on the work done, or the effect of varying the magnitude of the force.

### Outlines

### 🔍 Calculating Work Done by a Force

The script begins by introducing a physics problem involving a force of 15 Newtons applied at a 45-degree angle to the horizontal, over a distance of 49 meters. The main objective is to calculate the work done by this force. The formula for work done is given as the product of force, displacement, and the cosine of the angle between them. Since the force is not aligned with the direction of displacement, the horizontal component of the force is determined using trigonometry: 15n * cos(45°) = 10.61n. The work done is then calculated using the horizontal component and the fact that the angle between the force and displacement is now 0 degrees (since it's horizontal), resulting in 10.61n * 49m * cos(0°) = 520.89J. The script also includes a conversion of work from Joules to kilo calories, using the conversion factor 1 kcal = 4184J, yielding 0.1244 kcal. The video concludes with an invitation for further questions.

### Mindmap

### Keywords

### 💡Work

### 💡Force

### 💡Displacement

### 💡Angle

### 💡Component of Force

### 💡Trigonometry

### 💡Cosine

### 💡Joules

### 💡Kilo calories

### 💡Conversion

### Highlights

Solving a physics problem step by step.

Identifying given information: Force equals 15N, angle with horizontal equals 45 degrees, distance equals 49 meters.

Objective: Find the work done by the force.

Work formula: Work = Force x Displacement x cos(angle).

Force is not in the direction of displacement.

Finding the horizontal component of force using trigonometry.

Horizontal component formula: Horizontal component = Force x cos(angle).

Calculating the horizontal component: 15N x cos(45 degrees) = 10.61N.

Using the work formula with the horizontal component.

Work calculation: 10.61N x 49m x cos(0 degrees).

Result: Work done is 520.89 Joules.

Explanation of horizontal direction and displacement angle.

Converting work from Joules to kilo calories (KCAL).

Conversion factor: 1 KCAL equals 4184 Joules.

Calculating the equivalent in kilo calories: 520.89 J / 4184 = 0.1244 KCAL.

Final result: Work done is equivalent to 0.1244 kilo calories.

Offering help for any other physics questions.

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