Math Problem Statement

An object is moving with a constant force of 10N and an acceleration of 5m/s^2. What is its mass?

Solution

The problem asks for the mass of an object moving with a constant force of 10N10 \, \text{N} and an acceleration of 5m/s25 \, \text{m/s}^2.

To solve this, we can use Newton's Second Law of Motion:

F=maF = m \cdot a

Where:

  • FF is the force applied to the object,
  • mm is the mass of the object, and
  • aa is the acceleration of the object.

Rearranging the equation to solve for mm (mass), we get:

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

Substituting the given values:

m=10N5m/s2=2kgm = \frac{10 \, \text{N}}{5 \, \text{m/s}^2} = 2 \, \text{kg}

So, the mass of the object is 2 kg.

Would you like further details or explanations?

Here are some related questions you might consider:

  1. How does increasing the force affect the acceleration of an object if the mass is constant?
  2. What happens to the acceleration if the force remains the same, but the mass increases?
  3. How would you calculate the force needed to accelerate a 10 kg object at 2m/s22 \, \text{m/s}^2?
  4. What is the unit of force in the International System of Units (SI)?
  5. How does Newton's Second Law apply to objects in free fall?

Tip: Newton's second law forms the basis of dynamics and can be applied to various scenarios involving force and motion. Keep practicing to master this fundamental concept!

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Math Problem Analysis

Mathematical Concepts

Newton's Second Law
Force
Acceleration
Mass

Formulas

F = m * a
m = F / a

Theorems

Newton's Second Law of Motion

Suitable Grade Level

Grades 7-10