Answer :
To find out how much force is required to accelerate the jet, we can use Newton's second law of motion. This law states that force is equal to mass times acceleration, and is often expressed with the formula:
[tex]\[ F = m \times a \][/tex]
where:
- [tex]\( F \)[/tex] is the force in newtons (N),
- [tex]\( m \)[/tex] is the mass in kilograms (kg),
- [tex]\( a \)[/tex] is the acceleration in meters per second squared (m/s²).
Let's plug in the values from the problem:
- The mass of the jet, [tex]\( m \)[/tex], is 21,000 kg.
- The acceleration, [tex]\( a \)[/tex], is 36.9 m/s².
Now substitute these values into the formula:
[tex]\[ F = 21,000 \, \text{kg} \times 36.9 \, \text{m/s}^2 \][/tex]
When you multiply these numbers, you get:
[tex]\[ F = 774,900 \, \text{N} \][/tex]
So, the force required to accelerate the jet is 774,900 newtons.
[tex]\[ F = m \times a \][/tex]
where:
- [tex]\( F \)[/tex] is the force in newtons (N),
- [tex]\( m \)[/tex] is the mass in kilograms (kg),
- [tex]\( a \)[/tex] is the acceleration in meters per second squared (m/s²).
Let's plug in the values from the problem:
- The mass of the jet, [tex]\( m \)[/tex], is 21,000 kg.
- The acceleration, [tex]\( a \)[/tex], is 36.9 m/s².
Now substitute these values into the formula:
[tex]\[ F = 21,000 \, \text{kg} \times 36.9 \, \text{m/s}^2 \][/tex]
When you multiply these numbers, you get:
[tex]\[ F = 774,900 \, \text{N} \][/tex]
So, the force required to accelerate the jet is 774,900 newtons.