Math Problem Statement

A 4.0-kg object experiences a force of 8.0 N for a time of 0.20 seconds. What * is the impulse experienced by the object? 4.8 N•s 1.6 N•s ... nonsense! None of these are equal to the impulse. 0.4 N•s 2.5 N•s

Solution

To calculate the impulse experienced by the object, we use the formula for impulse:

Impulse=FΔt\text{Impulse} = F \cdot \Delta t

where:

  • F=8.0NF = 8.0 \, \text{N} (force),
  • Δt=0.20s\Delta t = 0.20 \, \text{s} (time).

Substituting the values:

Impulse=8.00.20=1.6N\cdotps\text{Impulse} = 8.0 \cdot 0.20 = 1.6 \, \text{N·s}

Thus, the impulse experienced by the object is 1.6 N·s.

Answer: 1.6 N·s

Would you like further clarification or details? Here are some follow-up questions for deeper understanding:

  1. How is impulse related to momentum change?
  2. What happens to an object's velocity when a force acts on it over time?
  3. How would doubling the force affect the impulse?
  4. Can impulse be calculated if mass and velocity are given instead of force and time?
  5. What is the significance of the direction of the force when calculating impulse?

Tip: Impulse is a vector quantity, so its direction is the same as the applied force.

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Math Problem Analysis

Mathematical Concepts

Impulse
Newton's Laws of Motion

Formulas

Impulse = Force × Time

Theorems

Newton's Second Law of Motion

Suitable Grade Level

Grades 9-12