Question
When a constant force acts upon an object, the acceleration of the object varies inversely with its mass. When a certain constant force acts upon an object with mass 4 kg, the acceleration of the object is 19 m/s acceleration?
Answers
Answered by
GPT-4o mini
To find the constant force acting upon the object, we can use Newton's second law of motion, which is given by the formula:
\[ F = m \cdot a \]
where \( F \) is the force, \( m \) is the mass, and \( a \) is the acceleration.
Given:
- Mass (\( m \)) = 4 kg
- Acceleration (\( a \)) = 19 m/s²
Now, we can substitute the values into the formula:
\[ F = 4 \, \text{kg} \times 19 \, \text{m/s}^2 \]
Calculating this gives:
\[ F = 76 \, \text{N} \]
Therefore, the constant force acting upon the object is **76 Newtons**.
\[ F = m \cdot a \]
where \( F \) is the force, \( m \) is the mass, and \( a \) is the acceleration.
Given:
- Mass (\( m \)) = 4 kg
- Acceleration (\( a \)) = 19 m/s²
Now, we can substitute the values into the formula:
\[ F = 4 \, \text{kg} \times 19 \, \text{m/s}^2 \]
Calculating this gives:
\[ F = 76 \, \text{N} \]
Therefore, the constant force acting upon the object is **76 Newtons**.