# Bungie jumper jumps of cliff. (Energy)

• bfusco
In summary, a bungee jumper with a bungee cord of 11m unstretched length falls a total of 31m from a bridge. Using Hooke's law, the spring constant is calculated to be 84 N/m. The maximum acceleration experienced by the jumper is not 9.8 m/s^2 as expected, but rather much greater due to the deceleration upon reaching the bottom of the cliff.
bfusco

## Homework Statement

A 55 bungee jumper leaps from a bridge. She is tied to a bungee cord that is 11 long when unstretched, and falls a total of 31 .
a)Calculate the spring constant of the bungee cord assuming Hooke's law applies.
b)Calculate the maximum acceleration she experiences.

## The Attempt at a Solution

first i drew out the problem in 3 sections. the first (A) the jumper on a cliff 31 m above h=0, then i drew (B) the jumper 11 m below the cliff because that is the length of the rope, and the third (C) the jumper at h=0, all the way at the bottom.

a)= 84 N/m
-to get this i solved for velocity at B by setting the energy at A = energy at B. mgh(at A)=1/2mv^2+mgh(at B) and got v=14.7 m/s. then i used Energy at B=Energy at C, mgh(at B)+1/2mv^2=1/2kx^2 and got k=83.5 N/m.

b)i know the point of greatest acceleration can't be at A, at B its simply acceleration due to gravity, and at C the jumper is at h=0 and has a moment of no movement, so no acceleration. however the answer isn't 9.8.

For part B), don't forget that DECELERATION is also acceleration, simply in the opposite direction of velocity. The acceleration required when she is stopped at the bottom of the cliff is much greater than 9.8.

tal444 said:
For part B), don't forget that DECELERATION is also acceleration, simply in the opposite direction of velocity. The acceleration required when she is stopped at the bottom of the cliff is much greater than 9.8.

true. ima give that idea a try

## What is a bungee jumper jump?

A bungee jumper jump is an extreme sport where a person jumps off a high platform, typically a cliff or bridge, while attached to a bungee cord. The cord is designed to stretch and then recoil, providing a thrilling free fall experience.

## How does the energy of a bungee jumper change during the jump?

During the jump, the energy of the bungee jumper goes through various changes. Initially, the jumper has potential energy, which is the energy stored in the bungee cord. As the jumper falls, this potential energy is converted into kinetic energy, which is the energy of motion. As the cord recoils, the kinetic energy is converted back into potential energy, slowing the jumper down and bringing them to a stop.

## What factors affect the energy of a bungee jumper jump?

The energy of a bungee jumper jump is affected by several factors, including the height of the jump, the elasticity of the bungee cord, and the weight of the jumper. A higher jump will result in more potential energy, and a more elastic cord will result in a longer and more intense free fall. The weight of the jumper also plays a role, as a heavier person will have more potential energy and will experience a faster fall.

## Is bungee jumping safe in terms of energy?

When done properly with appropriate equipment, bungee jumping is considered a safe activity in terms of energy. The bungee cord and harness are designed to withstand the forces of the jump and to bring the jumper to a safe stop. However, it is important to follow all safety guidelines and to only participate in bungee jumping with a reputable company.

## Can bungee jumping lead to injuries related to energy?

While bungee jumping is generally safe, there is always a risk of injury, particularly if the equipment is not properly maintained or if safety protocols are not followed. Injuries related to energy, such as whiplash or bruising, can occur if the bungee cord is too long or too short, or if the jumper is not properly secured. It is important to carefully follow all safety guidelines and to only participate in bungee jumping with a reputable company to minimize the risk of injury.

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