The rocket should be fired for 129600 seconds.
Why?
We can calculate for how long should the rocket be fired by using the following equation:
[tex]Force=mass*aacceleration=mass*\frac{v-v_{o}}{time} \\\\time=\frac{mass*(v-v_{o})}{Force}[/tex]
From the statement we know:
- Initial speed equal to zero.
- Force equal to 272N.
- Final speed (for the moment) equal to 62 m/s.
- Mass equal to 72000 Kg.
So, substituting and calculating, we have:
[tex]time=\frac{mass*(v-v_{o})}{Force}[/tex]
[tex]time=\frac{mass*(v-v_{o})}{Force}\\\\time=\frac{72000*(63\frac{m}{s} -0)}{35\frac{Kg.m}{s^{2}}}=129600s[/tex]
Hence, we have:
Variables: Time
Equations:
[tex]Force=mass*aacceleration=mass*\frac{v-v_{o}}{time} \\\\time=\frac{mass*(v-v_{o})}{Force}[/tex]
Answers: The rocket should be fired for 129600 seconds.
Have a nice day!
