An adventurous bungee jumper is in the process of dropping into a gorge from a bridge....
An adventurous bungee jumper is in the process of dropping into a gorge from a bridge. He has thought ahead to wear a helment and other safety gear. At this moment in time, he has reached the equilibrium position of his bungee , is L meters below the bridge and h meters above the river below. He has a mass M.
a) What is his total potential energy as a function of his distance x from equilibrium?
b) What is his total kinetic energy as a function of his velocity?
c)Find his EOM (equation of motion) using Lagrange's method. Leave your solution in symbolic form.
d)If L=80 m, h=25 m, k=280 N/m, M=70 kg, and at this moment in time his velocity is 40 m/s downward, what will his position x(t) be as a function of time from this moment?
e) Will he survive the jump? Or will he suffer an unfortunate fate in the river below? justify your answer. Assume the bungee does not break.
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An adventurous bungee jumper is in the process of dropping into
a gorge from a bridge....
An 80.0 kg bungee jumper drops from rest off a bridge that is 200.0 m above...
An 80.0 kg bungee jumper drops from rest off a bridge that is 200.0 m above a river. As he falls, air resistance is negligible, and the unstretched bungee cord attached to him uncoils. The mass of the bungee cord is negligible. When the jumper is 50.0 m below the bridge, the bungee cord is completely uncoiled and forms a straight line. Below that point, the bungee cord acts as a spring, obeying Hooke's law as it is stretched beyond...
Consider a bungee jumper dropping vertically in freefall from a bridge 80 m above the ground....
Consider a bungee jumper dropping vertically in freefall from a bridge 80 m above the ground. After three seconds, the elastic cord connecting the jumper to the bridge starts to stretch, which changes the jumper's acceleration to 15 m/s2 upwards. a) Sketch (without doing any math) the position vs time, velocity vs. time, and acceleration vs. time graphs for the bungee jumper from the moment they start to fall to the moment they reach the closest to the ground. b)...
EXAMPLE 6.3 Bungee Jumper A bungee jumper locates a suitable bridge that is 75.0 m above...
EXAMPLE 6.3 Bungee Jumper A bungee jumper locates a suitable bridge that is 75.0 m above the river below, as shown in Figure 6.14. The jumper has a mass of m-80.0 kg and a height of Ljumper 1.85 m, we can think of a bungee cord as a spring. The spring constant of the bungee cord is k-50.0 N/m. Assume that the mass of the bungee cord is negligible compared with the jumper's mass Lo PROBLENM The jumper wants to...
4./Your adventurous friend Lola goes bungee jumping. She leaps from a bridge that is 100 m...
4./Your adventurous friend Lola goes bungee jumping. She leaps from a bridge that is 100 m above a river. Her bungee cord has an un-stretched length of 50 m and a spring constant k - 600 N/m. Lola has a mass of 48 kg. How fast is she falling when she just starts to stretch the cord? How long does it take for Lola to reach this point? a) Lola stretches the bungee cord and it brings her to a...
A bungee jumper of mass 70 kg, ties one end of an elastic rope of length 65 m and stiffness 1.75 ...
A bungee jumper of mass 70 kg, ties one end of an elastic rope of length 65 m and stiffness 1.75 kN/m to a bridge and the other end to himself and jumps from the bridge, as shown in the figure below. Assuming the bridge to be rigid, determine the vibratory motion of the jumper about his static equilibrium positiorn. Un-stretched length of 65 m
A bungee jumper of mass 70 kg, ties one end of an elastic rope of...
You and a friend decide to go bungee jumping off a nearby bridge. Tests of the...
You and a friend decide to go bungee jumping off a nearby bridge. Tests of the bungee demonstrate that it behaves like an ideal spring. When your friend (mass=75kg) jumps you are on a rock 40.0m below the bridge and observe him to pass you at 25m/s. The bungee hangs 20.0m below the bridge when nothing is attached and 25.0m when a 75kg mass is attached but at rest (equilibrium). a) Use conservation of energy to write down a relation...
Problem 3. A bungee jumper of mass 72.0 kg jumps from a cliff. After reaching his...
Problem 3. A bungee jumper of mass 72.0 kg jumps from a cliff. After reaching his lowest point, he oscil- lates up and down. He is observed to reach his lowest point 9 times more in 45.0 s. Assume the bungee cord obeys Hooke's law. (a) What is the period of his motion? (b) What is the force constant of the bungee cord? (c) After oscillating for a while, the jumper finally comes to rest 30.0 m below his starting...
When bungee jumping from a high bridge over Victoria Falls, an operator first attaches an elastic...
When bungee jumping from a high bridge over Victoria Falls, an operator first attaches an elastic rope to the jumper. The jumper then jumps off the bridge, falling freely until they reach the unstretched length of the rope Then, the rope begins to stretch and slows the jumper to a stop. The rope pulls the jumper back up, and they oscillate up and down for a while until the operator pulls the jumper back up to the bridge. The rope...
Two men are standing on a bridge, getting ready to bungee jump off using the same...
Two men are standing on a bridge, getting ready to bungee jump
off using the same bungee at the same time. The masses of the men
are 100 kg and 70kg. The k of the cord is 3 kN/m.
What is the maximum L can be so that at full length, it will
just barely reach the water 100 meters below?
After the men reach the water, the heavier one legs go and stays
in the water, launching the lighter...
please label and circle the answers GREEN When bungee jumping from a high bridge over Victoria...
please label and circle the answers
GREEN When bungee jumping from a high bridge over Victoria Falls, an operator first attaches an elastic rope to the jumper. The jumper then jumps off the bridge, falling freely until they reach the unstretched length of the rope. Then, the rope begins to stretch and slows the jumper to a stop. The rope pulls the jumper back up and they osollte up and down for a while until the operator pulls the jumper...
An 80.0 kg bungee jumper drops from rest off a bridge that is 200.0 m above a river. As he falls, air resistance is negligible, and the unstretched bungee cord attached to him uncoils. The mass of the bungee cord is negligible. When the jumper is 50.0 m below the bridge, the bungee cord is completely uncoiled and forms a straight line. Below that point, the bungee cord acts as a spring, obeying Hooke's law as it is stretched beyond...
EXAMPLE 6.3 Bungee Jumper A bungee jumper locates a suitable bridge that is 75.0 m above the river below, as shown in Figure 6.14. The jumper has a mass of m-80.0 kg and a height of Ljumper 1.85 m, we can think of a bungee cord as a spring. The spring constant of the bungee cord is k-50.0 N/m. Assume that the mass of the bungee cord is negligible compared with the jumper's mass Lo PROBLENM The jumper wants to...
4./Your adventurous friend Lola goes bungee jumping. She leaps from a bridge that is 100 m above a river. Her bungee cord has an un-stretched length of 50 m and a spring constant k - 600 N/m. Lola has a mass of 48 kg. How fast is she falling when she just starts to stretch the cord? How long does it take for Lola to reach this point? a) Lola stretches the bungee cord and it brings her to a...
A bungee jumper of mass 70 kg, ties one end of an elastic rope of length 65 m and stiffness 1.75 kN/m to a bridge and the other end to himself and jumps from the bridge, as shown in the figure below. Assuming the bridge to be rigid, determine the vibratory motion of the jumper about his static equilibrium positiorn. Un-stretched length of 65 m
A bungee jumper of mass 70 kg, ties one end of an elastic rope of...
Problem 3. A bungee jumper of mass 72.0 kg jumps from a cliff. After reaching his lowest point, he oscil- lates up and down. He is observed to reach his lowest point 9 times more in 45.0 s. Assume the bungee cord obeys Hooke's law. (a) What is the period of his motion? (b) What is the force constant of the bungee cord? (c) After oscillating for a while, the jumper finally comes to rest 30.0 m below his starting...
When bungee jumping from a high bridge over Victoria Falls, an operator first attaches an elastic rope to the jumper. The jumper then jumps off the bridge, falling freely until they reach the unstretched length of the rope Then, the rope begins to stretch and slows the jumper to a stop. The rope pulls the jumper back up, and they oscillate up and down for a while until the operator pulls the jumper back up to the bridge. The rope...
Two men are standing on a bridge, getting ready to bungee jump
off using the same bungee at the same time. The masses of the men
are 100 kg and 70kg. The k of the cord is 3 kN/m.
What is the maximum L can be so that at full length, it will
just barely reach the water 100 meters below?
After the men reach the water, the heavier one legs go and stays
in the water, launching the lighter...
please label and circle the answers
GREEN When bungee jumping from a high bridge over Victoria Falls, an operator first attaches an elastic rope to the jumper. The jumper then jumps off the bridge, falling freely until they reach the unstretched length of the rope. Then, the rope begins to stretch and slows the jumper to a stop. The rope pulls the jumper back up and they osollte up and down for a while until the operator pulls the jumper...
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