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:
Where:
- is the force applied (in Newtons),
- is the mass of the object (in kilograms),
- is the acceleration (in meters per second squared).
Rearranging the formula to solve for acceleration :
Now, substitute the given values:
Thus, the acceleration of the object is .
Would you like more details or have any questions?
Here are 5 related questions for further exploration:
- What would happen to the acceleration if the force was doubled?
- How would the acceleration change if the mass was increased to 10 kg?
- What force is needed to accelerate a 10 kg object at ?
- How does Newton's Second Law relate to weight and gravity?
- 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