High School

A 21,000 kg jet needs to accelerate at [tex]$36.9 \, \text{m/s}^2$[/tex] in order to take off.

How much force is required to accelerate the jet?

[tex]F = [?] \, \text{N}[/tex]

Answer :

Sure, I can help with that!

To determine the force required for the jet to accelerate, we can use Newton's second law of motion. Newton's second law states that:

[tex]\[ F = m \cdot a \][/tex]

Where:
- [tex]\( F \)[/tex] is the force,
- [tex]\( m \)[/tex] is the mass,
- [tex]\( a \)[/tex] is the acceleration.

Here's the step-by-step solution:

1. Identify the mass of the jet:
The mass [tex]\( m \)[/tex] is given as 21,000 kg.

2. Identify the required acceleration:
The acceleration [tex]\( a \)[/tex] is given as 36.9 meters per second squared ([tex]\( m/s^2 \)[/tex]).

3. Plug these values into the formula:
[tex]\[ F = 21,000 \, \text{kg} \times 36.9 \, \text{m/s}^2 \][/tex]

4. Calculate the force:
[tex]\[ F = 21,000 \, \times 36.9 \][/tex]
[tex]\[ F = 774,900 \, \text{N} \][/tex]

So, the force required to accelerate the jet is [tex]\( 774,900 \, \text{Newtons} \)[/tex].