Download the App!

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

Question

Answered step-by-step

An astronaut of mass 210 $\mathrm{kg}$ including his suit and jet pack wants to acquire a velocity of 2.0 $\mathrm{m} / \mathrm{s}$ to move back toward his space shuttle. Assuming the jet pack can eject gas with a velocity of $35 \mathrm{m} / \mathrm{s},$ what mass of gas will need to be ejected?

Video Answer

Solved by verified expert

This problem has been solved!

Try Numerade free for 7 days

Like

Report

Official textbook answer

Video by Bruce Edelman

Numerade Educator

This textbook answer is only visible when subscribed! Please subscribe to view the answer

Physics 101 Mechanics

Chapter 9

Linear Momentum

Motion Along a Straight Line

Kinetic Energy

Potential Energy

Energy Conservation

Moment, Impulse, and Collisions

Simon Fraser University

University of Winnipeg

McMaster University

Lectures

04:05

In physics, a conservative force is a force that is path-independent, meaning that the total work done along any path in the field is the same. In other words, the work is independent of the path taken. The only force considered in classical physics to be conservative is gravitation.

03:47

In physics, the kinetic energy of an object is the energy which it possesses due to its motion. It is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity. Having gained this energy during its acceleration, the body maintains this kinetic energy unless its speed changes. The same amount of work is done by the body in decelerating from its current speed to a state of rest. The kinetic energy of a rotating object is the sum of the kinetic energies of the object's parts.

02:21

An astronaut at rest in sp…

01:04

04:17

A 70-kg astronaut floating…

03:02

A 70 -kg astronaut floatin…

02:54

A 70 kg astronaut floating…

03:30

A rocket is fired in deep …

02:53

An astronaut in his space …

04:51

mmh An astronaut in his sp…

04:11

03:16

05:47

(II) A rocket of total mas…

04:08

(III) A rocket of total ma…

03:27

(II) A rocket traveling 18…

Okay, so does Chapter nine. Problem 1 11 So it's as Anne Ashman, out of a mass to 10 kilograms including a soup and jetpack, wants to require a velocity two years, percent it to move back towards space travel. Assuming the jet pack, can you just inject gas with Ava last year of 35 meters per second? What mass gas We need to be injected. Okay, but we know that we can take a use equation. 9 19 this equation. Cool. Then we can rearrange this now. It's so for our separate variables and see that you have TV over the relative velocity because tm over and since the relative velocity of gap the gas here, these are the same and that's a constant cannot integrate both sides. And we see that the final over the relative calls the natural log of final over initial mass. You can rewrite this as a queen is Ah, equation for mass were in final cool seat in the shoulder, times the exponential of the overview gas. Okay, so now we can figure out what the master of the objective is. Mass of the ejected is in minus and final or in missile. That was initial times in the file. More speed over G. Do this to your killer grandsons. One minus you. Final C was two meters per second over. The gas was 35 feet is exponential of that, we get roughly 12 kilograms. That's how much gas we need to sit down. Cool.

View More Answers From This Book

Find Another Textbook