A bungee jumper plans to bungee jump from a bridge 74.0 m above the ground. He...

A bungee jumper plans to bungee jump from a bridge 74.0 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 6.00 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 1.60 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

Solutions

Expert Solution

Solution in the uploaded images

genius_generous answered 1 year ago

Next > < Previous

Related Solutions

A 74.0-kg bungee jumper steps off a bridge with a light bungee cord tied to her...

A 74.0-kg bungee jumper steps off a bridge with a light bungee cord tied to her and to the bridge. The unstretched length of the cord is 14.0 m. The jumper reaches reaches the bottom of her motion 40.0 m below the bridge before bouncing back. We wish to find the time interval between her leaving the bridge and her arriving at the bottom of her motion. Her overall motion can be separated into an 14.0-m free-fall and a 26.0-m...

Design a "bungee jump" apparatus for adults . A bungee jumper falls from a high platform...

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 11 m long, and that the cords stretch in the jump an additional 23 m for a jumper whose mass is 140 kg, the heaviest adult...

Design a "bungee jump" apparatus for adults. A bungee jumper falls from a high platform with...

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 12 m long, and that the cords stretch in the jump an additional 19 m for a jumper whose mass is 120 kg, the heaviest adult you...

Design a "bungee jump" apparatus for adults. A bungee jumper falls from a high platform with...

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 11 m long, and that the cords stretch in the jump an additional 23 m for a jumper whose mass is 140 kg, the heaviest adult you...

You bungee jump from a point 50 [m] off the ground with a mass of 75...

You bungee jump from a point 50 [m] off the ground with a mass of 75 [kg] using a bungee cord with an unstretched length of 16 [m] and a spring constant of 55 [N/m]. Will you hit the ground and at what speed? If you will not hit the ground, how close to the ground do you come to a stop?

A ski jumper starts from rest 54.0 m above the ground on a frictionless track and...

A ski jumper starts from rest 54.0 m above the ground on a frictionless track and flies off the track at an angle of 45.0° above the horizontal and at a height of 19.0 m above the ground. Neglect air resistance. (a) What is her speed when she leaves the track? m/s (b) What is the maximum altitude she attains after leaving the track? m (c) Where does she land relative to the end of the track? m

A 61 kg bungee jumper jumps from a bridge. At the point when she is travelling...

A 61 kg bungee jumper jumps from a bridge. At the point when she is travelling 20 m/s, the cord starts to stretch. The cord stretches 25 m before causing her to stop completely for a moment. How fast is she travelling when the cord is stretched 12 m?

A 61 kg bungee jumper jumps from a bridge. At the point when she is travelling...

A 61 kg bungee jumper jumps from a bridge. At the point when she is travelling 22 m/s, the cord starts to stretch. The cord stretches 28 m before causing her to stop completely for a moment. How fast is she travelling when the cord is stretched 12 m? Please show all of your work.

A bungee jumper with mass 64.5 kg jumps from a high bridge. After arriving at his...

A bungee jumper with mass 64.5 kg jumps from a high bridge. After arriving at his lowest point, he oscillates up and down, reaching a low point seven more times in 44.0 s . He finally comes to rest 20.5 m below the level of the bridge. Part A Estimate the spring stiffness constant of the bungee cord assuming SHM. Part B Estimate the unstretched length of the bungee cord assuming SHM.

A bungee jumper with mass 58.5 kg jumps from a high bridge. After arriving at his...

A bungee jumper with mass 58.5 kg jumps from a high bridge. After arriving at his lowest point, he oscillates up and down, reaching a low point seven more times in 41.0 s . He finally comes to rest 20.0 m below the level of the bridge. Part A Estimate the spring stiffness constant of the bungee cord assuming SHM. Part B Estimate the unstretched length of the bungee cord assuming SHM.

Subjects