Solve Energy Stored Problem: 70kg Man, 85m Fall, 50m Bungee

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SUMMARY

The discussion focuses on calculating the energy stored in a bungee rope when a 70 kg man comes to rest after an 85 m fall. The gravitational field strength is specified as 9.8 N/kg. The correct approach involves calculating the gravitational potential energy lost, which is determined using the formula for gravitational potential energy (PE = mgh). The user initially miscalculated the work done, indicating a misunderstanding of displacement in the context of the bungee jump.

PREREQUISITES
  • Understanding of gravitational potential energy (PE = mgh)
  • Familiarity with Newton's second law (Force = mass x acceleration)
  • Basic knowledge of work-energy principles
  • Ability to perform unit conversions and calculations involving joules
NEXT STEPS
  • Learn how to calculate gravitational potential energy using the formula PE = mgh
  • Study the principles of energy conservation in mechanical systems
  • Explore the dynamics of bungee jumping and the physics of elastic potential energy
  • Review the concept of work done by a force over a distance
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Physics students, educators, and anyone interested in understanding the mechanics of bungee jumping and energy calculations in gravitational fields.

Rampage
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Im really stuck with this question, hoping someone could give me a hand :cry:

A bungee rope of unstretched length 50M is designed to allow a 70Kg man to come to rest 85m below the platform from which he jumps.

Calculate the energy stored in the rope when the man has come to rest. Ignore the weight of the rope.
(Gravitational field strength 9.8)


Calculate the gravitational potential energy lost by the man when he comes to rest.


Am i right to do
70 x 9.8 = 686N
Work Done = Force x Displacement
=24.1Kj?

Im not sure if I am using the correct formula, and I am totally stuck on the 2nd part :frown:
 
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Rampage said:
Am i right to do
70 x 9.8 = 686N

Yes, that's right so far

Work Done = Force x Displacement
=24.1Kj?

The displacement is wrong

Im not sure if I am using the correct formula, and I am totally stuck on the 2nd part :frown:

The second part is the key to the problem.

Try reading

http://id.mind.net/~zona/mstm/physics/mechanics/energy/gravitationalPotentialEnergy/gravitationalPotentialEnergy.html
 
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