0

Guest

Courses New

The escape velocity from earth is v e .A body is projected with a velocity of 2v e . With what constant vellocity will it move in the inter plan etary space. OPTIONS;- 1 :- V e 2 :- 3^ 1/2 V e 3 :- 2^ 1/2 V e 4.;- 5 1/2 V e

The escape velocity from earth is ve.A body is projected with a velocity of 2ve. With what constant vellocity will it move in the inter planetary space.
OPTIONS;-
1  :-  Ve
2  :-  3^1/2Ve
3  :-  2^1/2Ve
4.;-   51/2Ve

Grade:12th pass

2 Answers

Neeti
571 Points
8 years ago
Apply conservation of energy. Initially when body is on earth, Total energy = kinetic plus potential. And finally when it starts moving in interplanetary space, assuming potential energy at that point to be zero. it becomes kinetic energy only.
 
So initially,
 
 – GMm/R2 + 1/2m(2ve)2 
 
And finally:
 
0 + 1/2m(v1)2 
 
Equate the two and use ve = (2GM/R)1/2
 
You’ll get the answer :) Please approve the answer if you think it’s useful and feel free to ask any follow up question :)
Neeti
571 Points
8 years ago
Oh and btw the answer is 31/2 ve :) 
And a correction, the potential energy will be GMm/R not GMm/R2.
 
Use ve in place of GMm/R when you equate the two equations and the entire equation shall be in terms of Ve and V1 which you are supposed to calculate and then you’ll get your answer :)

Think You Can Provide A Better Answer ?

Other Related Questions on General Physics

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More