Newton's Laws, bungee jump problem

The only thing that could potentially cause different answers is if other students are using a different value for the mass or acceleration. But as long as you have used the correct values and followed the correct steps, your solution should be correct.
  • #1
jehan4141
91
0
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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  • #2
Your result looks fine.
 

Related to Newton's Laws, bungee jump problem

1. What are Newton's Laws of Motion?

Newton's Laws of Motion are three fundamental principles that describe the behavior of objects in motion. The first law states that an object at rest will remain at rest and an object in motion will remain in motion at a constant velocity unless acted upon by an external force. The second law states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. The third law states that for every action, there is an equal and opposite reaction.

2. How do Newton's Laws apply to bungee jumping?

In bungee jumping, Newton's Laws apply to the forces acting on the jumper. The first law explains why the jumper remains stationary until the bungee cord is stretched and the second law explains the acceleration of the jumper as they fall towards the ground. The third law explains the force exerted by the bungee cord on the jumper, which prevents them from hitting the ground.

3. What is the bungee jump problem in relation to Newton's Laws?

The bungee jump problem refers to the calculation of the maximum safe height for a bungee jump based on the length and elasticity of the bungee cord and the mass of the jumper. This problem involves applying Newton's Laws to determine the force and acceleration experienced by the jumper during the jump.

4. How does the length of the bungee cord affect the bungee jump problem?

The length of the bungee cord directly affects the maximum safe height for a bungee jump. A longer cord will stretch more during the jump, providing a lower acceleration for the jumper and a smoother landing. A shorter cord will stretch less, leading to a higher acceleration and a potentially more dangerous landing. The length of the cord must be carefully chosen to ensure a safe and enjoyable bungee jump experience.

5. What safety measures are taken in bungee jumping to prevent accidents related to Newton's Laws?

In bungee jumping, safety measures are taken to prevent accidents related to Newton's Laws. These include carefully calculating the maximum safe height for a jump based on the length and elasticity of the bungee cord and the mass of the jumper, as well as regular inspection of the equipment. Additionally, trained professionals are present during the jump to ensure proper setup and to assist the jumper if needed. Safety harnesses and backup bungee cords are also used as extra precautions.

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