At one instant of time a rocket is traveling in outer space at 2500m/s and is exhausting fuel at a rate of 100 kg/s. If the speed of the fuel as it leaves the rocket is 1500 m/s, relative to the rocket, the thrust is:

Respuesta :

Thrust is a reaction force described quantitatively by Newton's third law. When a system expels or accelerates mass in one direction, the accelerated mass will cause a force of equal magnitude but opposite direction on that system. Mathematically can be written as,

[tex]T = v\frac{dm}{dt}[/tex]

Here,

v = speed of the exhaust gases measured relative to the rocket.

[tex]\frac{dm}{dt}[/tex]= Rate of change of mass with respect to time

Our values are given as,

[tex]v = 1500m/s[/tex]

[tex]\frac{dm}{dt} = 100kg/s[/tex]

Replacing we have that

[tex]T = 1500*100[/tex]

[tex]\therefore T = 1.5*10^5N[/tex]