To determine the weight of an object given its acceleration and net force, let's follow these steps:
1. Identify the Known Variables:
- Acceleration ([tex]\(a\)[/tex]) = 4.40 m/s²
- Net force ([tex]\(F\)[/tex]) = 0.0 Newtons (N)
2. Apply Newton's Second Law of Motion:
- Newton's second law states that [tex]\( F = m \cdot a \)[/tex], where [tex]\( F \)[/tex] is the net force, [tex]\( m \)[/tex] is the mass, and [tex]\( a \)[/tex] is the acceleration.
3. Rearrange the Equation to Solve for Mass:
- To find the mass ([tex]\(m\)[/tex]), we rearrange the equation to [tex]\( m = \frac{F}{a} \)[/tex].
4. Substitute the Known Values:
- Substituting the known values into the equation gives:
[tex]\[
m = \frac{0.0 \, \text{N}}{4.40 \, \text{m/s}^2}
\][/tex]
5. Calculate the Mass:
- Since any number divided by 4.40 is still zero:
[tex]\[
m = 0.0 \, \text{kg}
\][/tex]
6. Determine the Weight of the Object:
- The weight ([tex]\( W \)[/tex]) of an object is given by the formula [tex]\( W = m \cdot g \)[/tex], where [tex]\( g \)[/tex] is the acceleration due to gravity (approximately 9.81 m/s² on Earth).
- We already know that the mass ([tex]\(m\)[/tex]) is 0.0 kg. So:
[tex]\[
W = 0.0 \, \text{kg} \cdot 9.81 \, \text{m/s}^2 = 0.0 \, \text{N}
\][/tex]
Therefore, the weight of the object is 0.0 newtons.
