1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Akimi4 [234]
2 years ago
15

The escape velocity is defined to be the minimum speed with which an object of mass m must move to escape from the gravitational

attraction of a much larger body, such as a planet of total mass M. The escape velocity is a function of the distance of the object from the center of the planetR, but unless otherwise specified this distance is taken to be the radius of the planet because it addresses the question "How fast does my rocket have to go to escape from the surface of the planet?" What is the total mechanical energy Etotal of the object at a very large (i.e., infinite) distance from the planet? Find the escape velocity ve for an object of mass m that is initially at a distance R from the center of a planet of mass M. Assume that R≥Rplanet, the radius of the planet, and ignore air resistance. Express the escape velocity in terms of R, M, m, andG, the universal gravitational constant.
Physics
1 answer:
s344n2d4d5 [400]2 years ago
6 0

Answer:

v = √2G M_{earth} / R

Explanation:

For this problem we use energy conservation, the energy initiated is potential and kinetic and the final energy is only potential (infinite r)

        Eo = K + U = ½ m1 v² - G m1 m2 / r1

        Ef = - G m1 m2 / r2

When the body is at a distance R> Re, for the furthest point (r2) let's call it Rinf

       Eo = Ef

       ½ m1v² - G m1 M_{earth} / R = - G m1 M_{earth} / R

      v² = 2G M_{earth} (1 / R - 1 / Rinf)

If we do Rinf = infinity     1 / Rinf = 0

       v = √2G M_{earth} / R

      Ef = = - G m1 m2 / R

The mechanical energy is conserved  

 

      Em = -G m1  M_{earth} / R

      Em = - G m1  M_{earth} / R

     R = int        ⇒  Em = 0

You might be interested in
What is a concentration?​
Tresset [83]

Answer/Explanation:

In chemistry, concentration is the abundance of a constituent divided by the total volume of a mixture. Several types of mathematical description can be distinguished: mass concentration, molar concentration, number concentration, and volume concentration.

A concentration refers to a subject or study within a specific major. As part of the degree coursework, concentration classes count toward your major requirements as well.

8 0
2 years ago
Read 2 more answers
~choices below~
mart [117]
A is the correct answer
5 0
3 years ago
Read 2 more answers
14. The resistance of dry human skin is about 500,000 ohms and wet,
Taya2010 [7]

Answer:

current is equal to V/R

Explanation:

I = 9/1000A

9 \times 10 ^{ - 3}

4 0
2 years ago
Apakah yang dimaksud dengan gaya
tangare [24]
Nah gaya seperti titik fashion seperti apa yang Anda mana dan hal-hal seperti itu. (tell me if you cant understand)
8 0
3 years ago
Read 2 more answers
Hi, please just say the Letter (A,B,C,D,E)
bija089 [108]
The letter that answers this question correctly is E .
4 0
2 years ago
Other questions:
  • What is the purpose of the overrunning clutch in the starter drive?
    12·1 answer
  • Kirchhoff's loop rule for circuit analysis is an expression of which of the following? Conservation of charge Conservation of en
    6·1 answer
  • A handle or knob is fixed at free end of door.why?
    8·1 answer
  • Which of these is an example of electromagnetic induction? A current passing through a resistor uses power IR2. A current throug
    11·1 answer
  • What is thermal energy defined as
    6·2 answers
  • If a car starts from a stop, and hits 27 meters per second in 8 seconds, what is its acceleration?​
    8·1 answer
  • The table lists the values of the electrical force and the gravitational force between two protons.
    14·2 answers
  • What is the momentum of a compact car that is 750 kg and is travelling 30 m/s?
    6·1 answer
  • 1. Why did Asteroid 2019 OK cause concern among scientists? * The asteroid was not detected until it was extremely close to Eart
    15·1 answer
  • 11 An unstretched spring is 12,0 cm long. A load of 5.0N stretches it to 15.0cm. How long will it be under a load
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!