KE+PE when a rocket's speed is less than escape velocity?

AI Thread Summary
When a rocket's speed is less than escape velocity, the total mechanical energy (KE + PE) is discussed in terms of its potential and kinetic energy. The consensus leans towards the idea that KE + PE < 0, as the rocket lacks the energy to reach infinity, leading to a negative total mechanical energy. There is confusion regarding the terminology used, as the original question mistakenly referenced force instead of energy. Participants emphasize the importance of following homework guidelines and providing hints rather than complete solutions. Overall, the discussion highlights the relationship between kinetic and potential energy in the context of escape velocity.
GrimReaper
Hey people, I just want to ask that what will happen to the total mechanical force of the rocket if its speed is less than escape velocity?
a. KE+PE=0
b. KE+PE>0
c. KE+PE<0
d. Depends upon initial speed of the rocket
Pick one. And Why??
 
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I guess C because at infinity we will have PE=0 and KE> 0 or equal to zero. As the rocket has not the tendency to move to infinity we conclude that
PE+KE <0
 
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Gabriele Pinna said:
I guess C because at infinity we will have PE=0 and KE> 0 or equal to zero. As the rocket has not the tendency to move to infinity we conclude that
PE+KE <0
I appreciate that it was a bit tricky with this one, but the rule on homework forums is to give hints and point out errors, not provide complete solutions.
Correspondingly, @GrimReaper should have used the homework template and shown some attempt before meriting any help.
 
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haruspex said:
I appreciate that it was a bit tricky with this one, but the rule on homework forums is to give hints and point out errors, not provide complete solutions.
Correspondingly, @GrimReaper should have used the homework template and shown some attempt before meriting any help.
haruspex said:
I appreciate that it was a bit tricky with this one, but the rule on homework forums is to give hints and point out errors, not provide complete solutions.
Correspondingly, @GrimReaper should have used the homework template and shown some attempt before meriting any help.
I'm sorry if it was a mistake. And I'm totally new to this so I actually don't know how to use this. Thank you for the directions @haruspex.
 
Why is there no answer to this question? (Apart from the obvious fact that the question asks about force and gives answers in energy...)
 
mjc123 said:
Why is there no answer to this question? (Apart from the obvious fact that the question asks about force and gives answers in energy...)
The reference to force in the question statement is clearly an error. It should have said energy.
The answer is given in post #2.
 
haruspex said:
The reference to force in the question statement is clearly an error. It should have said energy.
The answer is given in post #2.
oh sorry, actually its energy. I mistakenly typed force.
 
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