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:

W=F×dW = F \times d

where:

  • WW is the work done,
  • FF is the force applied,
  • dd is the distance over which the force is applied.

Given Data:

  • Force, F=50NF = 50 \, \text{N}
  • Distance, d=10md = 10 \, \text{m}

Calculation:

W=50N×10m=500JW = 50 \, \text{N} \times 10 \, \text{m} = 500 \, \text{J}

Thus, the work done by the person on the cart is 500J\mathbf{500 \, J}.

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:

  1. What would happen to the work done if the force applied was doubled?
  2. How is work affected if the distance covered was halved?
  3. Can work be negative, and under what conditions would that occur?
  4. What is the relationship between work and energy in physics?
  5. 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