Answer to Question #127335 in Quantum Mechanics for melanie

A daredevil wishes to bungee-jump from a hot-air balloon 62.5 m above a carnival midway. He will use a piece of uniform elastic cord tied to a harness around his body to stop his fall at a point 13.0 m above the ground. Model his body as a particle and the cord as having negligible mass and a tension force described by Hooke’s force law. In a preliminary test, hanging at rest from a 5.00-m length of the cord, the jumper finds that his body weight stretches it by 1.45 m. He will drop from rest at the point where the top end of a longer section of the cord is attached to the stationary balloon.

(a) What length of cord should he use?
m

(b) What maximum acceleration will he experience?
m/s2

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The Relative Risks of Bungee Jumping, Skydiving and Ballooning

.

Skydiving, bungee jumping and ballooning are adventure sports, and all adventure sports contain some risk. Factors affecting the risk include equipment, landings, weather and prior medical conditions. Because the factors influencing the risk are numerous and variable, it is difficult, if not impossible, to calculate the risk involved.

Equipment Failure

A common concern in adventure sports is equipment. However, equipment failure is rarely a cause of skydiving fatalities. Certainly, there are times when parachutes don’t open, but reasonable skydivers use a reserve parachute. Having both parachutes fail to open is exceptionally rare.

According to the instructors at the Bungee Jumper website, critical injuries and bungee-related deaths usually result from poorly maintained equipment or miscalculations of cord length.

While hot air ballooning seems to be a safe alternative, there are certain risks associated with its equipment too. Overfilling the propane tank can cause fires when the balloon is in the air.

Landing Injuries

Skydivers run the risk of sprains, dislocations, broken hands or legs, and bumps and bruises during rough landings. While these injuries aren’t fatal, it pays to be especially careful during landings.

While miscalculations of cord length are a factor in bungee jump accidents, other fatalities occur when the foot slips out of the harness altogether.

Balloon accidents are usually the result of collisions with power lines or the ground. The impact can cause broken bones or muscle sprains.

Climate Influences

Sudden or shifting winds are the leading cause of skydiving fatalities. Strong winds can sweep you away and cause you to crash.

The wind is also a factor for bungee jumpers. If the wind is so strong that it could blow the cord into nearby rocks, bridges or trees, the jump operator will call off the jump.

Most hot air balloon accidents are related to the weather. Balloonists must get clearance from the airport before taking off, but sometimes winds and rains can blow in quickly and unexpectedly, blowing the balloon off course. The owners of Texas Air Adventures recommend not flying on days with “rain, fog, low cloud cover, or on the day after a very hard rainstorm, as the ground conditions may be too muddy for landing.”

Medical Complications

The instructors at Safe Skydiving note that skydiving is not a physically exhausting sport, but it does require a modicum of physical fitness. “People with heart diseases, fever, osteoporosis and similar diseases should think twice before skydiving and do it only after consultation with specialist. The first skydiving jumps can be quite stressful so you’d better be in good mental health as well.”

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Bungee jumping also presents a risk of medical complications. One risk of particular concern to women is uterine prolapse. The speed and pressure of bungee jumping can cause the uterus to tip and, in some cases, slide out of position and even out of the body itself. Eye trauma is another serious health risk of bungee jumping caused by the pressure of the jump. Dislocations, bumps and bruises are common superficial injuries caused by the bungee cord itself.

If you have any medical conditions, you should check with your physician before booking a ride in a hot air balloon. Since balloon rides can last more than four hours, you should carry any necessary medication on the ride. Pregnant women are advised by most ballooning companies not to ride in hot air balloons.

The Relative Risks of Bungee Jumping, Skydiving and Ballooning

.

Skydiving, bungee jumping and ballooning are adventure sports, and all adventure sports contain some risk. Factors affecting the risk include equipment, landings, weather and prior medical conditions. Because the factors influencing the risk are numerous and variable, it is difficult, if not impossible, to calculate the risk involved.

Equipment Failure

A common concern in adventure sports is equipment. However, equipment failure is rarely a cause of skydiving fatalities. Certainly, there are times when parachutes don’t open, but reasonable skydivers use a reserve parachute. Having both parachutes fail to open is exceptionally rare.

According to the instructors at the Bungee Jumper website, critical injuries and bungee-related deaths usually result from poorly maintained equipment or miscalculations of cord length.

While hot air ballooning seems to be a safe alternative, there are certain risks associated with its equipment too. Overfilling the propane tank can cause fires when the balloon is in the air.

Landing Injuries

Skydivers run the risk of sprains, dislocations, broken hands or legs, and bumps and bruises during rough landings. While these injuries aren’t fatal, it pays to be especially careful during landings.

While miscalculations of cord length are a factor in bungee jump accidents, other fatalities occur when the foot slips out of the harness altogether.

Balloon accidents are usually the result of collisions with power lines or the ground. The impact can cause broken bones or muscle sprains.

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Climate Influences

Sudden or shifting winds are the leading cause of skydiving fatalities. Strong winds can sweep you away and cause you to crash.

The wind is also a factor for bungee jumpers. If the wind is so strong that it could blow the cord into nearby rocks, bridges or trees, the jump operator will call off the jump.

Most hot air balloon accidents are related to the weather. Balloonists must get clearance from the airport before taking off, but sometimes winds and rains can blow in quickly and unexpectedly, blowing the balloon off course. The owners of Texas Air Adventures recommend not flying on days with “rain, fog, low cloud cover, or on the day after a very hard rainstorm, as the ground conditions may be too muddy for landing.”

Medical Complications

The instructors at Safe Skydiving note that skydiving is not a physically exhausting sport, but it does require a modicum of physical fitness. “People with heart diseases, fever, osteoporosis and similar diseases should think twice before skydiving and do it only after consultation with specialist. The first skydiving jumps can be quite stressful so you’d better be in good mental health as well.”

Bungee jumping also presents a risk of medical complications. One risk of particular concern to women is uterine prolapse. The speed and pressure of bungee jumping can cause the uterus to tip and, in some cases, slide out of position and even out of the body itself. Eye trauma is another serious health risk of bungee jumping caused by the pressure of the jump. Dislocations, bumps and bruises are common superficial injuries caused by the bungee cord itself.

If you have any medical conditions, you should check with your physician before booking a ride in a hot air balloon. Since balloon rides can last more than four hours, you should carry any necessary medication on the ride. Pregnant women are advised by most ballooning companies not to ride in hot air balloons.

Source https://www.assignmentexpert.com/homework-answers/physics/quantum-mechanics/question-127335

Source https://www.sportsrec.com/13672004/the-relative-risks-of-bungee-jumping-skydiving-and-ballooning

Source https://www.sportsrec.com/13672004/the-relative-risks-of-bungee-jumping-skydiving-and-ballooning

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