Math Problem Statement

What is the acceleration of a 5 kg object when a force of 20 N is applied?

Solution

To calculate the acceleration of the object, we can use Newton's Second Law of Motion:

F=maF = ma

Where:

  • FF is the force applied (in Newtons),
  • mm is the mass of the object (in kilograms),
  • aa is the acceleration (in meters per second squared).

Rearranging the formula to solve for acceleration aa:

a=Fma = \frac{F}{m}

Now, substitute the given values:

a=20N5kg=4m/s2a = \frac{20 \, \text{N}}{5 \, \text{kg}} = 4 \, \text{m/s}^2

Thus, the acceleration of the object is 4m/s24 \, \text{m/s}^2.

Would you like more details or have any questions?

Here are 5 related questions for further exploration:

  1. What would happen to the acceleration if the force was doubled?
  2. How would the acceleration change if the mass was increased to 10 kg?
  3. What force is needed to accelerate a 10 kg object at 4m/s24 \, \text{m/s}^2?
  4. How does Newton's Second Law relate to weight and gravity?
  5. What role does friction play in altering the acceleration of objects?

Tip: Always make sure the force and mass are in the same unit system when applying Newton's Second Law (e.g., N for force and kg for mass).

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Math Problem Analysis

Mathematical Concepts

Physics
Newton's Second Law
Linear Motion

Formulas

F = ma (Newton's Second Law)
a = F/m

Theorems

Newton's Second Law of Motion

Suitable Grade Level

Grades 6-8