Question
A force of 250 N is applied to an object that accelerates at a rate of 5 m/sec 2 . What is the mass of the object?
Answers
GPT-4o mini
To find the mass of the object, you can use Newton's second law of motion, which states:
\[ F = m \cdot a \]
where:
- \( F \) is the force applied (in Newtons),
- \( m \) is the mass (in kilograms),
- \( a \) is the acceleration (in meters per second squared).
We are given:
- \( F = 250 \, \text{N} \)
- \( a = 5 \, \text{m/s}^2 \)
We need to solve for \( m \). Rearranging the equation, we have:
\[ m = \frac{F}{a} \]
Now, substituting in the values:
\[ m = \frac{250 \, \text{N}}{5 \, \text{m/s}^2} \]
\[ m = 50 \, \text{kg} \]
So, the mass of the object is **50 kg**.
\[ F = m \cdot a \]
where:
- \( F \) is the force applied (in Newtons),
- \( m \) is the mass (in kilograms),
- \( a \) is the acceleration (in meters per second squared).
We are given:
- \( F = 250 \, \text{N} \)
- \( a = 5 \, \text{m/s}^2 \)
We need to solve for \( m \). Rearranging the equation, we have:
\[ m = \frac{F}{a} \]
Now, substituting in the values:
\[ m = \frac{250 \, \text{N}}{5 \, \text{m/s}^2} \]
\[ m = 50 \, \text{kg} \]
So, the mass of the object is **50 kg**.