How Do You Calculate Speed Without Time in a Bungee Jump Scenario?

[johnjohnson]

If a man who weighs 1000Newtons(N) makes a bungee jump off a bridge with a 6m bungee rope, this rope has a elastic constant of 2000N/m

A) what is the fastest speed he reaches
B)what is his maximuum kinectic energy
C)how far will bungee rope extend until energy is transformed to elastic potential energy



2. Homework Equations
F=ma, F=kx E=1/2*k*x^2 these are all i know



3. G= 9.81m^2 Gravity*weight/2000 sorry IDK guys please help GCSE Science

 

[mishek]

Are you familiar with potential and kinetic energy?

 

[johnjohnson]

Are you familiar with potential and kinetic energy?

yes i m thanks for replying

 

[mishek]

Could you divide this jump in phases? What energy do you have at the bridge, what energy do you have before the "rope" starts stretching?

 

[AJ Bentley]

Check your question values. That bungee rope looks rather stiff. You might have picked up an extra zero.

 

[johnjohnson]

Thanks for trying to help me guys appreciate i ve got the answer now
first 1/2*m*v^2 = mgh
then pug in the values

 

[mishek]

Hello, John.

Your equation above would work for a situation before rope starts stretching.

You have a 3 key situations: before jump (potential energy is max), before stretching of the rope (kinetic energy is max) and after stretching ("spring" energy).

Please look into photos I attached.