Newton's Laws, bungee jump problem

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SUMMARY

The discussion focuses on calculating the force exerted by a bungee cord on a 55-kg jumper experiencing a downward acceleration of 7.6 m/s². The net force equation used is Fnet = Fb - mg = ma, leading to the conclusion that the force exerted by the bungee cord (Fb) is 121 N directed upward. The calculations confirm that the jumper's downward acceleration and the gravitational force are correctly accounted for, resulting in a valid answer. The methodology aligns with Newton's second law of motion.

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jehan4141
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Please help me with this problem. many thanks :)

A 55-kg bungee jumper has fallen far enough that her bungee cord is beginning to stretch and resist her downward motion. Find the force (magnitude and direction) exerted on her by the bungee cord at an instant when her downward acceleration has a magnitude of 7.6 m/s^2. Ignore the effects of air resistance.

This is my work and answer. Other students are getting all sorts of different answers than me. Am I doing something wrong? Or is my work correct? Thank you so much!

The forces acting upon her are gravity downward, and the force of the bungee cord (Fb) which pulls her back in the upward direction.

Fnet = Fb - mg = ma

We know that she is experiencing an acceleration of 7.6 m/2^s in the downward direction. Thus:

Fb - mg = m(-a)
Fb = m(-a) + mg
Fb = (55)(-7.6) + 55(9.8)
Fb = 121 N upward

Thank you again for looking!
 
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Your result looks fine.
 

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