Solution-Show the value of k for which energy is a maximum

Show the value of k for which energy is a maximum

Assignment Help Physics

Reference no: EM13963283

Initially a total mass of a rocket is M, of which kM is the mass of the fuel. Starting from rest, the rocket gives itself a constant vertical acceleration of magnitude g by ejecting fuel with constant speed u relative to itself.

a) If m denotes its remaining mass at time t, show that the rate of decrease of m with respect to t is 2mg/u and deduce that m=Me^(-2gt/u).

b) Show that the kinetic energy of the rocket when the fuel is exhausted is (1/8)Mu^2(1-k)[ln(1-k)]^2

c) Show the value of k for which energy is a maximum is 1-e^-2

Reference no: EM13963283

Questions Cloud

Drawbacks to a mexican economy when cemex invests : What benefits does Cemex's bring to the countries that it enters? Are there any drawbacks to a Mexican economy when Cemex's invests outward?

Display a report of overall averages for each student : Your job is to display a report of the above information that includes overall averages for each student for exams 1 through 4, and class averages

What is the exhaustion doctrine : What is the exhaustion doctrine and how was that doctrine at issue in the Woodford v. Ngo case? According to the Supreme Court, what two public policy purposes are served by the exhaustion doctrine? Explain fully (don't just list the two purposes)

Define the decision variable : Provide a mathematical formulation for the problem. Clearly define the decision variable(s) and any parameters you use, and specify/explain any intermediate expressions and the final function that needs to be optimized.

Show the value of k for which energy is a maximum : Initially a total mass of a rocket is M, of which kM is the mass of the fuel. Starting from rest, the rocket gives itself a constant vertical acceleration of magnitude g by ejecting fuel with constant speed u relative to itself. If m denotes its r..

Find the electric field in all four regions as a function : Consider a spherically symmetric configuration: A spherical charge distribution has radius R_A and *nonuniform* charge density rho(r) = rho_zero R_A / r.

Application - competence to stand trial : Application: Competence to Stand Trial and the Insanity Defense, Forensic psychologists deal with two particularly controversial issues: judging whether a defendant is competent to stand trial and whether a defendant was legally insane at the time ..

Calculate the electric work performed by the electric power : Calculate the capacity of a conductor that, when you charge it with 0.004C acquires a potential of 220V.

Create project proposal document stating the basic elements : Create a Project Proposal document stating the basic elements that you will include in your website. Include a cover sheet with your name, course, and week number.

User Account

All Pages

Show the value of k for which energy is a maximum

Reference no: EM13963283

Reference no: EM13963283

Questions Cloud

Reviews

Write a Review

Physics Questions & Answers

Find the magnitude of the resulting magnetic field

Find the equivalent resistance

What is the electric field at the location

What is the maximum displacement of the bridge deck

What is the magnitude of the current in the wire

Blackbody

Gravity conveyor

Calculate the dc voltage

Quadrupole moments in the shell model

Determine the tension in each string

Introductory mechanics: dynamics

Evaluate maximum altitude

Assured A++ Grade

Academics

Major Subjects

Majors

Get In Touch

TERMS & POLICIES

HELP & SUPPORT