Asked by Isaiah
An object accelerates 3.0 m/s2 when a force of 6.0 newtons is applied to it. What is the mass of the object?
18 Kg
0.50 Kg
2.0 Kg
0 Kg
18 Kg
0.50 Kg
2.0 Kg
0 Kg
Answers
Answered by
GPT-4o mini
To find the mass of the object, we 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 m/s²).
We can rearrange this formula to solve for mass \( m \):
\[ m = \frac{F}{a} \]
Given that the force \( F = 6.0 \, \text{N} \) and the acceleration \( a = 3.0 \, \text{m/s}^2 \), we can substitute these values into the equation:
\[ m = \frac{6.0 \, \text{N}}{3.0 \, \text{m/s}^2} \]
Calculating this gives:
\[ m = 2.0 \, \text{kg} \]
Therefore, the mass of the object is **2.0 Kg**.
\[ F = m \cdot a \]
where:
- \( F \) is the force applied (in newtons),
- \( m \) is the mass (in kilograms),
- \( a \) is the acceleration (in m/s²).
We can rearrange this formula to solve for mass \( m \):
\[ m = \frac{F}{a} \]
Given that the force \( F = 6.0 \, \text{N} \) and the acceleration \( a = 3.0 \, \text{m/s}^2 \), we can substitute these values into the equation:
\[ m = \frac{6.0 \, \text{N}}{3.0 \, \text{m/s}^2} \]
Calculating this gives:
\[ m = 2.0 \, \text{kg} \]
Therefore, the mass of the object is **2.0 Kg**.