Math Problem Statement
Solution
The problem asks for the mass of an object moving with a constant force of and an acceleration of .
To solve this, we can use Newton's Second Law of Motion:
Where:
- is the force applied to the object,
- is the mass of the object, and
- is the acceleration of the object.
Rearranging the equation to solve for (mass), we get:
Substituting the given values:
So, the mass of the object is 2 kg.
Would you like further details or explanations?
Here are some related questions you might consider:
- How does increasing the force affect the acceleration of an object if the mass is constant?
- What happens to the acceleration if the force remains the same, but the mass increases?
- How would you calculate the force needed to accelerate a 10 kg object at ?
- What is the unit of force in the International System of Units (SI)?
- 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
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