A bungee jumper plans to bungee jump from a bridge 53.0 m above the ground. He plans to use a uniform elastic cord, tied to a harness around his body, to stop his fall at a point 12.0 m above the water. Model his body as a particle and the cord as having negligible mass and obeying Hooke's law. In a preliminary test he finds that when hanging at rest from a 5.00 m length of the cord, his body weight stretches it by 1.65 m. He will drop from rest at the point where the top end of a longer section of the cord is attached to the bridge. (a) What length of cord should he use? m (b) What maximum acceleration will he experience? m/s2
A bungee jumper plans to bungee jump from a bridge 53.0 m above the ground. He...
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...
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)...
A 68 kg bungee jumper is standing on a platform 46 m above the ground. The jumper falls from rest and it is assumed that the bungee cord, which is attached to the bungee jumper at one end and the platform at the other, has no effect for the first 9 m of the fall, i.e. the natural length of the cord is 9 m. When the bungee jumper is more than 9 m away from the platform the cord...
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...
A 70 kg person does a bungee jump from a bridge. The natural length of the bungee cord is 20m and it has a spring constant k of 80 N/m. When the bungee cord has a total length of 25m, what is the acceleration of the jumper (to 2 significant figures)?
You sign up for a bungee jump off a tall bridge. A thick rope with a fixed length of 16.0 m is tied to the bridge, and a bungee cord with an unstretched length of 8.00 m is then connected to the rope. The other end of the bungee cord is attached to your legs. You step off the bridge, falling from rest. The bungee cord does not start exerting any force on you until you have fallen a distance...
15. [lpt] A 59.6 kg bungee jumper jumps from a bridge. She is tied to a 12.4 m long bungee cord and falls a total of 34.2 m. Calculate the spring constant k of the bungee cord. Answer: Submit All Answers
7. A bungee jumper with mass m 50 kg leaps fron a bridge. The jumper is attached to the bridge by an elastic cord with axial stiffness k = 0.10 kN m-1. The cord unravels to its ful unstretched length 3.0s after the jumper has left the bridge. Starting from when the jumper leaves the bridge, determine the earliest time at which the elastic cord reaches its maximum extension. Neglect air resistance.[15
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...