Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

A rocket is fired in deep space, where gravity is negligible. In the first second it ejects $\frac{1}{160}$ of its mass as exhaust gas and has an accolcration of 15.0 $\mathrm{m} / \mathrm{s}^{2} .$ What is the spoced of tho cxhaust gas relative to the rocket?

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

$$2.4 \mathrm{km} / \mathrm{s}$$

Physics 101 Mechanics

Chapter 8

Momentum, Impulse, and Collisions

Moment, Impulse, and Collisions

Simon Fraser University

Hope College

University of Winnipeg

McMaster University

Lectures

04:30

In classical mechanics, impulse is the integral of a force, F, over the time interval, t, for which it acts. In the case of a constant force, the resulting change in momentum is equal to the force itself, and the impulse is the change in momentum divided by the time during which the force acts. Impulse applied to an object produces an equivalent force to that of the object's mass multiplied by its velocity. In an inertial reference frame, an object that has no net force on it will continue at a constant velocity forever. In classical mechanics, the change in an object's motion, due to a force applied, is called its acceleration. The SI unit of measure for impulse is the newton second.

03:30

In physics, impulse is the integral of a force, F, over the time interval, t, for which it acts. Given a force, F, applied for a time, t, the resulting change in momentum, p, is equal to the impulse, I. Impulse applied to a mass, m, is also equal to the change in the object's kinetic energy, T, as a result of the force acting on it.

05:31

A rocket is fired in deep …

01:11

02:39

04:11

03:16

03:25

04:16

A rocket in space where gr…

02:45

A single-stage rocket is f…

03:27

(II) A rocket traveling 18…

04:14

01:50

What is the acceleration o…

01:41

A rocket of initial mass $…

02:56

A $6100 \mathrm{~kg}$ rock…

09:02

A rocket is fired 've…

02:51

The second stage of a two-…

A rocket accelerates by bu…

in this question, the rocket is moving by injecting some mass off gas. We know that in the course off one second that rocket objected 1/1 60 off its mass and by doing that, it achieved an acceleration off 15 m per second squared. And with that we have to determine what is the velocity of the gas that is being expelled. To do that, we have to use this equation which relates the achieved acceleration which the velocity of the gas that is being expelled, the initial mass off the rocket to the variation in the mass off the rocket and the time during which that mass was expelled. So using that equation, we have the following they achieved acceleration is 15 m per second squared. Now we have minus the velocity off the gas which we don't know divided by the initial mass off the rocket which I will call em are Then we multiply it by the variation in the mass off the rocket. The variation in the mass off the rocket is equals to minus the mask off gas that was expelled. So we have minus the mask off the rocket divided by 160. And finally we divide by Delta T, which is one Then we get the following 15 is equals to we have a minus sign and another minus sign so they will cancel out. So we have the velocity of the gas divided by the mass off the rocket. Now, anything divided by one is just that thing. That minus sign isn't there anymore. So we have the mass off the rocket divided by 160. As you can see, the mass of the rocket will be canceled. Then we get the following 15 is equals to the velocity of the gas divided by 160. The reform The velocity of the gas is 15 times 160 which results in 2000 and 400 m per second or 2.4 kg meters per second. Any off those two is a correct solution to this question. So this is the answer

View More Answers From This Book

Find Another Textbook

01:14

16. Which of the following list of materials are composed of mixtures? A. Vi…

07:43

Sun N. Write the letter of the correct answer. a 1. If you put sand in water…

01:16

A juggler throws a bowling pin straight up with an initial speed of 8.20 m/s…

01:05

Which of the following correctly describes Ohm's Law? A Current is dire…

01:36

Mang Pepe owned a fishpen in Laguna. This is his major source of income for …

01:30

two marbles with a total mass of 20kg has an initial momentum of 100 kgm/s.o…

00:54

What was your basis for identifying the locations of earthquakes, volcanoes,…

02:38

9. the force of 250 N is exerted to a 50 kg motorcycle with rider making it …

01:22

The Bureau of Fisheries investigated that fish kill incidents was due to lac…

00:53

5. Where are mountain ranges typically located? Are they located near volcan…