A bungee jumper who has a mass of 85.0 kg leaps off a very high platform. A crowd excitedly watches as the jumper free-falls, reaches the end of the bungee cord, then gets "yanked" up by the elastic cord, again and again. One observer measures the time between the low points for the jumper to be 9.30 s. Another observer realizes that simple harmonic motion can be used to describe the process because several of the subsequent bounces for the jumper require 9.30 s also. Finally, the jumper comes to rest a distance of 40 m below the jump point. Calculate the following.
(a) the effective spring constant for the elastic bungee cord
N |
m |
(b) its unstretched length
m
A bungee jumper who has a mass of 85.0 kg leaps off a very high platform....
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
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...
Design a "bungee jump" apparatus for adults. A bungee jumper falls from a high platform with two elastic cords tied to the ankles. The jumper falls freely for a while, with the cords slack. Then the jumper falls an additional distance with the cords increasingly tense. Assume that you have cords that are 9 m long, and that the cords stretch in the jump an additional 25 m for a jumper whose mass is 80 kg, the heaviest adult you...
A 65.2-kg bungee jumper is standing on a tall platform (h_0 = 46.2 m), as indicated in the figure. The bungee cord has a natural length of L_0 = 8.40 m and, when stretched, behaves like an ideal spring with a spring constant of k = 48.3 N/m. The jumper falls from rest, and it is assumed that the only forces acting on him are his weight and, for the latter part of the descent, the elastic force of the...
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...