Question

You sign up for a bungee jump off a tall bridge. A thick rope with a fixed length of 18.0 m is tied to the bridge, and a bungee cord with an unstretched length of 11.0 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 of 29.0 m (the sum of the rope's length and the unstretched length of the bungee cord). After that, it exerts an upward force on you that eventually brings you to rest, for an instant. Assume the bungee cord, when stretched, acts like an ideal spring, and take g = 10 N/kg, to make the calculations easier. Your mass is 50.0 kg.

You fall a total distance of 54.0 m before coming instantaneously to rest. Determine the spring constant of the bungee cord.
_______ N/m

Part (b)

You sign up for a bungee jump off a tall bridge. A thick rope with a fixed length of 18.0 m is tied to the bridge, and a bungee cord with an unstretched length of 11.0 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 of 29.0 m (the sum of the rope's length and the unstretched length of the bungee cord). After that, it exerts an upward force on you that eventually brings you to rest, for an instant. Assume the bungee cord, when stretched, acts like an ideal spring, and take g = 10 N/kg, to make the calculations easier. Your mass is 50.0 kg.

You fall a total distance of 54.0 m before coming instantaneously to rest, but how far below the bridge are you when you reach maximum speed?
_______ m

Part (c)

You sign up for a bungee jump off a tall bridge. A thick rope with a fixed length of 18.0 m is tied to the bridge, and a bungee cord with an unstretched length of 11.0 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 of 29.0 m (the sum of the rope's length and the unstretched length of the bungee cord). After that, it exerts an upward force on you that eventually brings you to rest, for an instant. Assume the bungee cord, when stretched, acts like an ideal spring, and take g = 10 N/kg, to make the calculations easier. Your mass is 50.0 kg.

You fall a total distance of 54.0 m before coming instantaneously to rest. Calculate the maximum speed you reach during the fall.
_______ m/s

Answer 1

50 10 86.4 = 5.78 The distance below the bridge is, 29 5.78 34.78 m (c)From the work energy theorem 1 1 *(50) (2- 0) 2 *(86.4) (5.78)2 50 10 34.78 (25)21443.24 17390 (25)215946.76 15946.76 25 25.25 m/s