# 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 perpendicular to it’s original motion. If the rocket gases are expelled at a speed of 2200 m/s relative to the rocket, what mass of gas must be expelled

I see that I need to find the other velocity

Vy = 120 tan 23
this gave me about 50.94 m/s

I do not know were to go from here

1. 👍
2. 👎
3. 👁
1. Let the rocket be traveling in the x direction, and the boosters fire in the y direction.

Actually you need to alter the velocity so that the 120m/s is the x component, and a y component exists making the angle 23 degrees.

tan(theta) = y/x
tan(23) = y/120

Now you can use that to find the required change in momentum. By conservation of momentum, the momentum of the expelled gases equals the change in momentum of the rocket. Use that to find the mass of the expelled gas.

1. 👍
2. 👎
2. YOU ANSWER IS ABSOLUTELY INCORRECT I AM DOING (2200M=(4200-M)V COS 23( BY APPLYIND CONSERVATION OF MOMENTUM ) NOW WE GET( V=200M/S) SO REQUIRED ANS IS (V=200M/S)

1. 👍
2. 👎

## Similar Questions

1. ### Trigonometry application

I need help with this problem. am having trouble solving this. A rocket tracking station has two telescopes A and B placed 1.7 miles apart. The telescopes lock onto a rocket and transmit their angles of elevation to a computer

2. ### Calculus

Camille launches a model rocket in an open field near her house. The rocket has a bit of a problem, being slightly off balance. Its trajectory is described by the function y=60ln(x+1)-6x for 0 ≤ x ≤ 36.15, where y is is the

3. ### Physics

A 10.2 kg weather rocket generates a thrust of 200N. The rocket, pointing upward, is clamped to the top of a vertical spring. The bottom of the spring, whose spring constant is 500N/m, is anchored to the ground. a) Initially

4. ### AP calculus AB

A spy tracks a rocket through a telescope to determine its velocity. The rocket is traveling vertically from a launching pad located 10 km away. At a certain moment, the spy's instruments show that the angle between the telescope

1. ### College Physic I

A space probe is traveling in outer space with a momentum that has a magnitude of 4.99 x 107 kg·m/s. A retrorocket is fired to slow down the probe. It applies a force to the probe that has a magnitude of 1.87 x 106 N and a

2. ### calculus

Camille launches a model rocket in an open field near her house. The rocket has a bit of a problem, being slightly off balance. Its trajectory is described by the function y=60ln(x+1)-6x for 0 ≤ x ≤ 36.15, where y is is the

3. ### Physics

A rocket ascends from rest in a uniform gravitational field by ejecting exhaust with constant speed u. Assume that the rate at which mass is expelled is given by dm/dt=mk, where m is the instantaneous mass of the rocket and k is a

4. ### physics - linear momentum with rockets

A rocket of total mass 3180 kg is traveling in outer space with a velocity of 115 m/s. To alter its course by 35.0 degrees, its rockets can be fired briefly in a direction perpendicular to its original motion. If the rocket gases

1. ### Physics

A space probe is carried by a rocket into outer space where it continues to move on its own in a straight line. What keeps the probe moving? Is the answer: the gravitation forces from diﬀerent stars and planets

2. ### Physics

A rocket whish is in deep space and initially at rest relative to an inertial reference frame, has a mass of 2.55 X 10^5 kg of which 1.81 X10^5 kg is fuel. The rocket engine is then fired for 250 s during which feul is consumed at

3. ### physics

A rocket ship at rest in space gives a short blast of its engine, firing 26 kg of exhaust gas out the back end with an average velocity of 182 m/s. What is the change in momentum of the rocket during this blast?

4. ### Physics

With the engines off, a spaceship is coasting at a velocity of +210 m/s through outer space. It fires a rocket straight ahead at an enemy vessel. The mass of the rocket is 1350 kg, and the mass of the spaceship (not including the