Answer :
The calculation confirms that a net force of 84 N is indeed required to produce an acceleration of 7.0 m/s² for a 12-kg package.
Newton's second law states that the net force (F) acting on an object is equal to the mass (m) of the object multiplied by its acceleration (a). Mathematically, it is represented as:
[tex]F_{net} = ma[/tex]
Given:
- Net force, [tex]F_{net} = 84[/tex] N
- Mass, [tex]m = 12[/tex] kg
- Acceleration, [tex]a = 7.0[/tex] [tex]m/s^2[/tex]
We need to check if the given net force and mass correspond to the given acceleration using the formula [tex]F_{net} = ma[/tex].
Substitute the given mass and acceleration values into the equation:
[tex]F_{net} = 12\ kg \times 7.0\ m/s^2[/tex]
Perform the multiplication:
[tex]F_{net} = 84\ kg \cdot m/s^2[/tex]
The unit [tex]kg \cdot m/s^2[/tex] is equivalent to a Newton (N), so we get:
[tex]F_{net} = 84\ N[/tex]
Complete question
A simple rearrangement of Newton's second law gives F net = ma. Show that a net force of 84 N exerted on a 12-kg package is needed to produce an acceleration of [tex]7.0 m/s ^2[/tex]?
