# Physics

posted by .

A rocket moving at 2000 m/s with a mass of 2000 kg releases gas at 500 m/s perpendicular to the direction of the rocket. The rocket moves at 18 degrees opposite of the direction that the gas was released. What is the mass of the gas released?

• Physics -

There is no change of momentum of anything in the original, call it x, direction. Both the rocket and the expelled gas will continue to move at 2000 m/s

In the y direction. the gas moves in the + y direction and the rocket moves in the - y direction. However the total y momentum of the system remains zero since there was no net force on the system.
If the mass of gas is m, the remaining mass of the rocket is (2000-m)
the y direction speed of the remaining rocket is -2000 tan (18) = -650 m/s
The y momentum of the gas is m (+500)
The y momentum of the remaining rocket is (2000-m)(-650)
so
500 m -650(2000-m) = 0

## Similar Questions

1. ### physics

It is possible for the velocity of a rocket to be greater than the exhaust velocity of the gases it ejects. When that is the case, the gas velocity and momentum are in the same direction as the rocket's. How does the rocket still obtain …
2. ### PHYSICS

A FIREWORKS ROCKET IS MOVING WITH A SPEED OF 45.0 M/S. THE ROCKET SUDDENLY BREAKS INTO TWO PIECES OF EQUAL MASS, WHICH FLY OFF WITH VELOCITIES V1 AND V2. WHAT IS THE MAGNITUDE OF V1?
3. ### Physics

I'm having some trouble with this question A 4200-kg rocket is traveling in outer space with a velocity of 120m/s toward the Sun. It needs to alter its course by 23 degrees, which can be done by shooting is rockets briefly in a direction …
4. ### physics

a mass of gas emitted from the rear of toy rocket is initially 0.2kg/s. if the speed of the gas relative to the rocket is 40m/s and the mass of the rocket is 4 kg what is the initial acceleration of the rocket
5. ### Physics

A toy rocket is launched upwards from rest. The rocket engine will cause the rocket to accelerate at 25 m/s^2 for 3.0 seconds. a) How fast is the rocket moving aft the end of the 3 seconds?
6. ### MOMENTUM AND SHM

A(n) 3800 kg rocket traveling at 2500 m/s is moving freely through space on a journey to the moon. The ground controllers ﬁnd that the rocket has drifted oﬀ course and that it must change direction by 9.2 degrees if it …
7. ### PHYSICS MOMENTUM

A(n) 3800 kg rocket traveling at 2500 m/s is moving freely through space on a journey to the moon. The ground controllers ﬁnd that the rocket has drifted off course and that it must change direction by 9.2 degrees if it is to …
8. ### Physics

A faulty model rocket moves in the xy-plane (the positive y-direction is vertically upward). The rocket's acceleration has components a(t)_x=alpha*t^2 and a(t)_y=beta-gamma*t, where alpha = 2.50 , beta= 9.00 , and gamma= 1.40 . At …
9. ### physics

A small weather rocket weighs 14.7 N. The rocket is carried up by a balloon. The rocket is released from the balloon and fired, and its engine exerts an upward force of 10.2 N on the rocket. What is the acceleration of the rocket?
10. ### physics

A rocket with mass of 60,000 kg is placed on a launching platform verticlly. its engine is started and the rocket gives out gas at rate of 50kgs^-1 with a speed of 5000ms^-1 a) calculate the up trust force caused by the gas. b) can …

More Similar Questions