You sign up for a bungee jump off a tall bridge. A thick ropewith a fixed length of 18.0 m is tied to the bridge, and a bungeecord with an unstretched length of 11.0 m is then connected to therope. The other end of the bungee cord is attached to yourlegs.
You step off the bridge, falling from rest. The bungee cord doesnot start exerting any force on you until you have fallen adistance of 29.0 m (the sum of the rope's length and theunstretched length of the bungee cord). After that, it exerts anupward force on you that eventually brings you to rest, for aninstant. Assume the bungee cord, when stretched, acts like an idealspring, and take g = 10 N/kg, to make the calculations easier. Yourmass is 50.0 kg.
You fall a total distance of 54.0 m before cominginstantaneously to rest. Determine the spring constant of thebungee cord.
_______ N/m
Part (b)
You sign up for a bungee jump off a tall bridge. A thick ropewith a fixed length of 18.0 m is tied to the bridge, and a bungeecord with an unstretched length of 11.0 m is then connected to therope. The other end of the bungee cord is attached to yourlegs.
You step off the bridge, falling from rest. The bungee cord doesnot start exerting any force on you until you have fallen adistance of 29.0 m (the sum of the rope's length and theunstretched length of the bungee cord). After that, it exerts anupward force on you that eventually brings you to rest, for aninstant. Assume the bungee cord, when stretched, acts like an idealspring, and take g = 10 N/kg, to make the calculations easier. Yourmass is 50.0 kg.
You fall a total distance of 54.0 m before cominginstantaneously to rest, but how far below the bridge are you whenyou reach maximum speed?
_______ m
Part (c)
You sign up for a bungee jump off a tall bridge. A thick ropewith a fixed length of 18.0 m is tied to the bridge, and a bungeecord with an unstretched length of 11.0 m is then connected to therope. The other end of the bungee cord is attached to yourlegs.
You step off the bridge, falling from rest. The bungee cord doesnot start exerting any force on you until you have fallen adistance of 29.0 m (the sum of the rope's length and theunstretched length of the bungee cord). After that, it exerts anupward force on you that eventually brings you to rest, for aninstant. Assume the bungee cord, when stretched, acts like an idealspring, and take g = 10 N/kg, to make the calculations easier. Yourmass is 50.0 kg.
You fall a total distance of 54.0 m before cominginstantaneously to rest. Calculate the maximum speed you reachduring the fall.
_______ m/s