A body of mass 1 kg moves with acceleration 1 m/s². What is the force acting on it?
Understand the Problem
The question is asking for the calculation of the force acting on a body of mass 1 kg that is accelerating at 1 m/s². To solve it, we can use Newton's second law of motion, which states that force is equal to mass times acceleration (F = m * a).
Answer
The force acting on the body is $1 \, \text{N}$.
Answer for screen readers
The force acting on the body is $1 , \text{N}$.
Steps to Solve
- Identify the formula for force
To find the force acting on an object, we use Newton's second law. The formula is:
$$ F = m \cdot a $$
where ( F ) is the force, ( m ) is the mass, and ( a ) is the acceleration.
- Substitute the given values
In this case, the mass ( m ) is ( 1 , \text{kg} ) and the acceleration ( a ) is ( 1 , \text{m/s}^2 ). Substitute these values into the formula:
$$ F = 1 , \text{kg} \cdot 1 , \text{m/s}^2 $$
- Calculate the force
Now perform the multiplication:
$$ F = 1 , \text{kg} \cdot 1 , \text{m/s}^2 = 1 , \text{N} $$
Thus, the force acting on the body is ( 1 , \text{N} ).
The force acting on the body is $1 , \text{N}$.
More Information
According to Newton's second law of motion, the force acting on an object is directly proportional to the mass of the object and the acceleration it experiences. This principle is foundational in physics and is used in various applications, from engineering to space exploration.
Tips
- Misinterpreting units: Ensure that the mass is in kg and acceleration is in m/s² before calculating.
- Forgetting to multiply: Make sure to carry out the multiplication correctly without skipping any steps.
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