Answer :
To find the mass of an object when given the net force applied to it and the acceleration, we can use Newton's second law of motion. Newton's second law can be stated as:
[tex]\[ F = m \cdot a \][/tex]
where [tex]\( F \)[/tex] is the net force applied to the object, [tex]\( m \)[/tex] is the mass of the object, and [tex]\( a \)[/tex] is the acceleration.
We need to solve for the mass [tex]\( m \)[/tex]. To do this, we rearrange the equation to solve for [tex]\( m \)[/tex]:
[tex]\[ m = \frac{F}{a} \][/tex]
Given values:
- Net force [tex]\( F = 8.0 \, \text{N} \)[/tex]
- Acceleration [tex]\( a = 1.1 \, \text{m/s}^2 \)[/tex]
Substitute these values into the equation:
[tex]\[ m = \frac{8.0 \, \text{N}}{1.1 \, \text{m/s}^2} \][/tex]
Now, divide the force by the acceleration:
[tex]\[ m \approx 7.27 \, \text{kg} \][/tex]
So, the mass of the object is approximately [tex]\( 7.27 \, \text{kg} \)[/tex], which is closest to the option [tex]\( 7.3 \, \text{kg} \)[/tex].
Therefore, the correct answer is:
[tex]\[ \boxed{7.3 \, \text{kg}} \][/tex]
[tex]\[ F = m \cdot a \][/tex]
where [tex]\( F \)[/tex] is the net force applied to the object, [tex]\( m \)[/tex] is the mass of the object, and [tex]\( a \)[/tex] is the acceleration.
We need to solve for the mass [tex]\( m \)[/tex]. To do this, we rearrange the equation to solve for [tex]\( m \)[/tex]:
[tex]\[ m = \frac{F}{a} \][/tex]
Given values:
- Net force [tex]\( F = 8.0 \, \text{N} \)[/tex]
- Acceleration [tex]\( a = 1.1 \, \text{m/s}^2 \)[/tex]
Substitute these values into the equation:
[tex]\[ m = \frac{8.0 \, \text{N}}{1.1 \, \text{m/s}^2} \][/tex]
Now, divide the force by the acceleration:
[tex]\[ m \approx 7.27 \, \text{kg} \][/tex]
So, the mass of the object is approximately [tex]\( 7.27 \, \text{kg} \)[/tex], which is closest to the option [tex]\( 7.3 \, \text{kg} \)[/tex].
Therefore, the correct answer is:
[tex]\[ \boxed{7.3 \, \text{kg}} \][/tex]
