work done by a person weighing 115 Is carrying goods 50 degrees on his back and exerts 450N of force traveling at 110 feet of distance.

To calculate the work done, we use the formula for work:

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

where:
- \( W \) is the work done (in joules or N·m),
- \( F \) is the force applied (in newtons, N),
- \( d \) is the distance traveled (in meters, m),
- \( \theta \) is the angle between the direction of the force and the direction of motion (in degrees),
- \( \cos(\theta) \) accounts for the component of the force in the direction of motion.

### Given:
- Force \( F = 450 \, \text{N} \),
- Distance \( d = 110 \, \text{feet} \),
- Angle \( \theta = 50^\circ \).

### Conversion:
1 foot = 0.3048 meters. So, converting 110 feet to meters:

\[
110 \, \text{feet} \times 0.3048 = 33.528 \, \text{meters}.
\]

### Work Calculation:
Now applying the values into the work formula:

\[
W = 450 \, \text{N} \times 33.528 \, \text{m} \times \cos(50^\circ)
\]

Let me calculate this.The work done by the person is approximately \( 9698.12 \, \text{J} \) (joules).

Would you like more details or have any other questions?

Here are five related questions you might find interesting:
1. How does the angle affect the work done in different scenarios?
2. What happens if the angle is \(0^\circ\) or \(90^\circ\)?
3. How do you convert between work in joules and other energy units?
4. What is the significance of force direction in work calculation?
5. How would the result change if the force or distance were different?

**Tip**: When force is applied at an angle, only the component of the force in the direction of motion contributes to the work done.

The query submitted by the user: work done by a person weighing 115 Is carrying goods 50 degrees on his back and exerts 450N of force traveling at 110 feet of distance.

Learn how to calculate the work done by a person exerting 450N of force while carrying goods at an angle of 50 degrees over a distance of 110 feet. This problem covers key concepts in physics, including force, motion, and the cosine of angles, and is suitable for students in Grades 9-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation