Math Problem Statement
How much force needs to be applied to a 5-kg object for it to accelerate at 20 m/s2?
Solution
To calculate the force needed to accelerate an object, we can use Newton's Second Law of Motion, which states:
where:
- is the force,
- is the mass of the object,
- is the acceleration.
In this case:
- ,
- .
Now, let's calculate the force:
Thus, the required force is 100 Newtons (N).
Would you like more details or further clarification?
Here are 5 related questions to explore:
- How does Newton's Second Law apply in everyday situations?
- What happens to an object's motion if no external force is applied?
- How does friction affect the amount of force needed for acceleration?
- What is the difference between mass and weight in calculating force?
- How would the force change if the acceleration was doubled?
Tip: Always remember that force is directly proportional to both mass and acceleration. Doubling either will double the required force.
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Math Problem Analysis
Mathematical Concepts
Physics
Newton's Second Law
Force and Acceleration
Formulas
F = ma
Theorems
Newton's Second Law of Motion
Suitable Grade Level
Grades 6-8
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