A70.0 kg stuntman is attached to a bungee cord with an unstretched length of 15.0 m. he jumps off a bridge spanning a river from a height of 50.0 m. when he finally stops, the cord has a stretched length of 44.0 m. treat the stuntman as a point mass, and disregard the weight of the bungee cord. assuming the spring constant of the bungee cord is 71.8 n/m, what is the total potential energy relative to the water when the man stops falling?

The total potential energy is 34.307 kJ

Solution:

As per the question:

Mass of the stuntman, m = 70.0 kg

Length of the unstretched cord, l = 15.0 m

Height of the cord, H = 50.0 m

The stretched length of the cord,

Spring constant of the cord, k = 71.8 N/m

Now,

The total potential energy is given as the sum of gravitational potential energy and elastic potential energy:

The height attained, h = H - = 50.0 - 44.0 = 6.0 m

PE_{G} = mgh =    

Now, the elastic potential energy:

x = l - = 44.0 - 15.0 = 29.0 m

The Total Potential Energy:

a solenoid is created by wrapping a l = 90 m long wire around a hollow tube of diameter d = 4.5 cm.   the wire diameter is d = 0.9 mm.   the solenoid wire is then connected to a power supply so that a current of i = 9 a flows through the wire.

randomized variablesl = 90 m

d = 4.5 cm

d = 0.9 mm

i = 9 a                                          

write an expression for the number of turns, n, in the solenoid. you do not need to take into account the diameter of the wire in this calculation.

calculate the number of turns, n, in the solenoid.

write an expression for the length of the solenoid (l2) in terms of the diameter of the hollow tube d.

calculate the length of the solenoid (l2)   in meters.

calculate the magnitude of the magnetic field at the center of the solenoid in teslas.

explanation: