What Is the Minimum Spring Constant Needed for George's Safe Bungee Jump?

AI Thread Summary
To determine the minimum spring constant needed for George's bungee jump, the bungee cord must safely stop him at least 2.00 m above the river after falling from a height of 40.5 m. The unstretched length of the bungee cord is 27.5 m, meaning it will stretch to a maximum length of 38.5 m during the jump. With George's mass of 75.0 kg, calculations must factor in gravitational force and the required stopping distance. The spring constant can be derived using the formula Fx = -kx, where k is the spring constant. A diagram can aid in visualizing the problem and understanding the necessary calculations.
killa0587
Messages
12
Reaction score
0
1. George is going to bungee jump from a bridge that is 40.5 m over the river below. The bungee cord has an unstretched length of 27.5 m. To be safe, the bungee cord should stop George's fall when he is at least 2.00 m above the river. Ignoring air resistance, if George has a mass of 75.0 kg, what is the minimum spring constant of the bungee cord?
_______N/m

Homework Equations



Fx=-kx

The Attempt at a Solution


134
 
Last edited:
Physics news on Phys.org
Your attempt at a solution should include more than yoru final answer.

Anyways, try drawing a diagram to see what the numbers in the question mean.
 

Thread 'Errors and significant figures'

I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
View full post »
Thread 'A cylinder connected to a hanging mass'

Thread 'A cylinder connected to a hanging mass'

Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
View full post »

Similar threads

Understanding the Bungee Jumper Problem: Energy Transformation and Calculations
Replies
44
Views
6K
Derivation of the oscillation period for a vertical mass-spring system
Replies
9
Views
4K
Calculating Bungee Cord Length and Spring Constant: Realistic or Unrealistic?
Replies
8
Views
2K
What is the total length of the bungee cord in this bungee jumping problem?
Replies
26
Views
3K
What is the spring constant for the bungee cord used in the given scenario?
Replies
4
Views
2K
Spring Constant - Bungee Jumping
Replies
5
Views
10K
Bungee Jumping Spring Constat/Work-Energy
Replies
9
Views
3K
How Does a Bungee Jumper's Energy Change During a Jump?
Replies
14
Views
6K
What Is the Spring Constant for Kate's Bungee Jump?
Replies
3
Views
5K
Final amplitude with damping of bungee cord
Replies
8
Views
3K

Hot Threads

Recent Insights

Back
Top