Question
An object is pushed with a Force of 10N and starts to move with an acceleration of 2m/s2. What is the mass of the object? (m=f/a)
Answers
GPT-4o mini
To find the mass of the object, you can use Newton's second law of motion, which is expressed as:
\[ F = m \cdot a \]
Where:
- \( F \) is the force applied (in newtons, N),
- \( m \) is the mass (in kilograms, kg),
- \( a \) is the acceleration (in meters per second squared, m/s²).
You can rearrange the equation to solve for mass \( m \):
\[ m = \frac{F}{a} \]
Given:
- \( F = 10 \, \text{N} \)
- \( a = 2 \, \text{m/s}^2 \)
Now, plug in the values:
\[ m = \frac{10 \, \text{N}}{2 \, \text{m/s}^2} = \frac{10}{2} = 5 \, \text{kg} \]
Thus, the mass of the object is \( 5 \, \text{kg} \).
\[ F = m \cdot a \]
Where:
- \( F \) is the force applied (in newtons, N),
- \( m \) is the mass (in kilograms, kg),
- \( a \) is the acceleration (in meters per second squared, m/s²).
You can rearrange the equation to solve for mass \( m \):
\[ m = \frac{F}{a} \]
Given:
- \( F = 10 \, \text{N} \)
- \( a = 2 \, \text{m/s}^2 \)
Now, plug in the values:
\[ m = \frac{10 \, \text{N}}{2 \, \text{m/s}^2} = \frac{10}{2} = 5 \, \text{kg} \]
Thus, the mass of the object is \( 5 \, \text{kg} \).