Purchase Solution

Gravitation: A rocket is accelerated to speed v = 2 sq. root gRe near Earth's surface

Not what you're looking for?

Ask Custom Question

A rocket is accelerated to speed v = 2 sq. root gRe near Earth's surface (where Earth's radius is Re), and it then coasts upward.

a) Show that it will escape from Earth.
b) Show that very far from Earth its speed will be v = sq. root 2gRe.

Purchase this Solution
Solution Summary

The acceleration of a rocket near the earth's surface is determined. The escape from the Earth's atmosphere is given. The solution to the problem is explained and solved showing all the calculations.

Solution Preview

See attached file.

Problem
A rocket is accelerated to speed v = 2 sq. root gRe near Earth's surface (where Earth's radius is Re), and it then coasts upward. a) Show that it will escape from Earth. b) Show that very far from Earth its speed will be v = sq. ...

Purchase this Solution
Free BrainMass Quizzes
Classical Mechanics

This quiz is designed to test and improve your knowledge on Classical Mechanics.

Introduction to Nanotechnology/Nanomaterials

This quiz is for any area of science. Test yourself to see what knowledge of nanotechnology you have. This content will also make you familiar with basic concepts of nanotechnology.

Intro to the Physics Waves

Some short-answer questions involving the basic vocabulary of string, sound, and water waves.

Basic Physics

This quiz will test your knowledge about basic Physics.

The Moon

Test your knowledge of moon phases and movement.

View More Free Quizzes
Related BrainMass Solutions

  • Escape Speed

    28828 Escape Speed using a Square Root Show that escape speed is the square root of 2 times as large as the orbital speed of an object in orbit just above the earth's surface. Let Vo be the orbital speed and Ve be the Escape speed.

  • Equations of motion of a rocket

    159596 Equations of motion of a rocket At time t, the mass of a rocket is M(1-kt), where M and k are constants. At time t, the rocket is moving with speed v vertically upwards near the Earth's surface against constant gravity.

  • Velocity Required to Put an Object in Orbit

    If we say this energy is given by imprinting some kinetic energy to an object on the earth's surface, some speed to it, GMe M/Re = 1/2 M v^2 which you can solve for v.

  • Gravitation: Weightlessness

    speed =(g/R)^1/2 (As angular speed = v/R) The expert examines the weightlessness of gravitation.

  • Physics - Classical Mechanics

    How much will a person weigh on the surface of Mars if his/her weight on the Earth's surface is 180 lb?

  • Conservation of energy

    8. 40 A rocket is projected upward from the earth's surface (r=Re) WITH AN INITIAL SPEED Vo that carries it to a distance r=1.5Re from the center of the earth. What is the launch speed Vo?

  • The Velocity of a Rocket at Parigee of an Elleptic Orbit

    To make the rocket move on a circular orbit of radius 9*106 m the speed v should be such that the gravitational force due to earth is equal to the centripetal force and hence Or m/s Hence the sudden decrease in the speed must be v =

  • A Rocket's Kinetic Energy and Maximum Height

    when the rocket is 1000 km above Earth's surface. b) What maximum height above the surface is reached by the rocket?

  • Harmonic oscillator, conservation of momentum, gravity

    KE=PE= 1/2 {1/2 K (Xm)^2} =1/2 K (Xm/square root of 2)^2 Displacement= Xm/square root of 2 2.A 5.00g bullet moving with an initial speed of 400m/s is fired into and passes through a 1.00kg block.

View More Related Solutions