Force analysis of a spring-bob system

  • #1
tellmesomething
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Homework Statement
A small bob of charge +Q and mass 5kg is suspended from a spring of force constant k=10^4N/m and is held at rest 50cm above an isolated point charge -Q fixed on the ground. The spring just stretched initially. When the bob is released, the naximun elongation of the spring is 10cm. Then Q=(25n)uc where n=?
Relevant Equations
None
I dont need anyone to do the sum directly please. I just need some hints, please dont give me the solution.

Im unable to understand how the bob will hit a maximum elongation, there are two forces accelerating the bob:
Gravitational force and electrostatic force.
There is one force deaccelerating it :
Spring Force

A max elongation means a point where the forces are balanced and the velocity of the bob equals 0

Would there be a point in time where the spring force becomes more than the downward force?

because I believe thats whats needed to make the velocity equal to 0 and then eventually the velocity vector would point in the upward direction
 
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  • #2
tellmesomething said:
Im unable to understand how the bob will hit a maximum elongation, there are two forces accelerating the bob:
Gravitational force and electrostatic force.
There is one force deaccelerating it :
Spring Force
Yes
tellmesomething said:
A max elongation means a point where the forces are balanced and the velocity of the bob equals 0
No. Think about the simple case of a ball thrown straight up in the air. At the highest point, v = 0. But, is the net force on the ball zero at this instant?

tellmesomething said:
Would there be a point in time where the spring force becomes more than the downward force?

because I believe thats whats needed to make the velocity equal to 0 and then eventually the velocity vector would point in the upward direction
Yes. That's right.

Hint: Energy rather than force is your friend here.
 
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  • #3
TSny said:
Yes

No. Think about the simple case of a ball thrown straight up in the air. At the highest point, v = 0. But, is the net force on the ball zero at this instant?


Yes. That's right.

Hint: Energy rather than force is your friend here.
Okay got it. Thankyou :-)
 
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