Math Problem Statement
A person pushes a shopping cart with a force of 50 N along a flat surface for a distance of 10 meters. How much work is done by the person on the cart?
Solution
To solve this problem, we can use the formula for work:
where:
- is the work done,
- is the force applied,
- is the distance over which the force is applied.
Given Data:
- Force,
- Distance,
Calculation:
Thus, the work done by the person on the cart is .
Correct Answer:
B. 500 J
Would you like more details on the calculation or have any questions?
Here are some related questions to expand your understanding:
- What would happen to the work done if the force applied was doubled?
- How is work affected if the distance covered was halved?
- Can work be negative, and under what conditions would that occur?
- What is the relationship between work and energy in physics?
- How is work different from power, and how can they be calculated together?
Tip: Remember that work is calculated only when force is applied in the direction of motion.
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Math Problem Analysis
Mathematical Concepts
Physics
Work and Energy
Force and Distance
Formulas
Work = Force × Distance
Theorems
Work-Energy Principle
Suitable Grade Level
Grades 6-8