Question

In: Physics

What is the value of escape velocity for a body to escape from.earth gravitational field

Explain escape velocity details. What is the value of escape velocity for a body to escape from earth gravitational field 

Solutions

Expert Solution

Concept of Escape and orbital velocity : 

escape and orbital velocities in simple words then we can say that orbital velocity is the speed required by an object to orbit around another object. Whereas, escape velocity is the minimum speed required by an object to break free from the gravitational pull of another mass.  

Escape velocity definition:.  

We have studied in kinematics that the range of a projectile depends upon the initial velocity as : 

Rmax= U^2/2g 

 

which implies that for a certain initial velocity provided to the particle, the particle flies away from the gravitational influence of the earth.

 

This minimum amount of velocity for which the particle escapes the gravitational sphere of influence of a planet is known as escape velocity (ve). When escape velocity is provided to a body it goes to infinity theoretically. 

Ve=√2Gm/R 

formula, it is clear that escape velocity does not depend upon the test mass (m).

 

If the source mass is earth then the escape velocity has a value of 11.2 km/s.  

If V=Ve the body escapes the planets gravitational sphere of influence,   

   V


Escape velocity:  escape velocity is the minimum speed required by an object to break free from the gravitational pull of another mass. 

Related Solutions

A metal loop is being pushed at a constant velocity into a uniform magnetic field, as...
A metal loop is being pushed at a constant velocity into a uniform magnetic field, as shown in the figure, but is only partway into the field. As a result of this motion: a) End a of the resistor R is at a higher potential than end b. b) End b of the resistor R is at a higher potential than end a. c) Ends a and b are at the same potential.
In the Bainbridge mass spectrometer, the magnetic field magnitude in the velocity selector is 0.650 T, and ions having speed of 1.82 x 106 m/s pass through undeflected. (A) What is the electric field magnitude in the velocity selector; and (B) If the sepa
In the Bainbridge mass spectrometer, the magnetic field magnitude in the velocity selector is 0.650 T, and ions having speed of 1.82 x 106 m/s pass through undeflected.(A) What is the electric field magnitude in the velocity selector; and(B) If the separation of the plates is 5.20 mm, what is the potential difference between plates P and Px?
What is the weight of the body?
A spring balance has a scale that reads from 0 to 50 kg. The length of the scale is 20 cm. A body suspended from this balance, when displaced and released, oscillates with a period of 0.6 s. What is the weight of the body?
What is the velocity of all electromagnetic waves in a vacuum? 1- The velocity of electromagnetic...
What is the velocity of all electromagnetic waves in a vacuum? 1- The velocity of electromagnetic waves depends upon their amplitude. 2- The velocity of electromagnetic waves depends upon their wavelength. 3- The velocity of electromagnetic waves depends upon their frequency. 4- Electromagnetic waves do not propagate forward; hence, their velocity is zero. 5- The velocity of electromagnetic waves is nearly equal to 3
Compared to normal blood flow velocity, v0, what is the velocity of blood as it passes through this blockage?
Arteriosclerotic plaques forming on the inner walls of arteries can decrease the effective cross-sectional area of an artery. Even small changes in the effective area of an artery can lead to very large changes in the blood pressure in the artery and possibly to the collapse of the blood vessel. Imagine a healthy artery, with blood flow velocity of v0=0.14m/s and mass per unit volume of ρ=1050kg/m3. The kinetic energy per unit volume of blood is given by K0=12ρv20. Imagine that plaque...
If the magnitude of the magnetic field is B what must the magnitude of this field...
If the magnitude of the magnetic field is B what must the magnitude of this field be to cancel out the gravitational force on the wire?
What is the magnitude of the bacterium's average velocity for the entire trip?
The bacterium Escherichia coli (or E. coli) is a single-celled organism that lives in the gut of healthy humans and animals. When grown in a uniform medium rich in salts and amino acids, these bacteria swim along zig-zag paths at a constant speed of 20 um/s. The figure shows the trajectory of an E. coli as it moves from point A to point E. Each segment of the motion can be identified by two letters, such as segment BC. What is...
What are the magnitude and direction of the electric field?
A small object of mass 3.96 g and charge -17.1 µC is suspended motionless above the ground when immersed in a uniform electric field perpendicular to the ground. What are the magnitude and direction of the electric field?What is the magnitude _________ N/CWhat is the direction (upward East West downward)
What is the magnitude of the electric field at the dot in the figure?
Part AWhat is the magnitude of the electric field at the dot in the figure?Express your answer using two significant figures.E = _________V/mPart B What is the direction of the electric field at the dot in the figure? Choose best answer.(a) the negative x-axis.(b) the positive x-axis.(c) 45 below -x-axis(d) 45 below +x-axis
Differentiate between particle velocity and wave velocity and compare their directions for longitudinal as well as...
Differentiate between particle velocity and wave velocity and compare their directions for longitudinal as well as transverse waves.