Answer:
m = 27752.7 [kg]
Explanation:
To solve this problem we must first use the following equation of kinematics.
[tex]v_{f}=v_{o}+a*t[/tex]
where:
Vf = final velocity = 240 [km/h]
Vo = initial velocity = 0
a = acceleration [m/s²]
t = time = 2 [s]
But first we must convert the speed from kilometers per hour to meters per second.
[tex]240[\frac{km}{h} ]*(\frac{1h}{3600s} )*(\frac{1000m}{1km} )=66.67[m/s][/tex]
Now replacing:
[tex]66.67 = 0 +a*2\\a = 33.33 [m/s^{2} ][/tex]
Now using Newton's second law which is defined as the product of mass by acceleration we can determine the mass of the jet.
∑F = m*a
[tex]925000=m*33.33\\m = 925000/33.33\\m = 27752.7 [kg][/tex]
