How Did a Ski Diver Survive a 360m Fall into Snow?

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In summary, an airplane pilot survived a fall of 360 m after his parachute failed to open. With a mass of 84 kg and a terminal velocity of 50 m/s, the pilot created a 1.1 m deep crater when he landed in a snowbank. The snow did work on him to bring him to rest, exerting an average force and causing him minor injuries. The work done by the snow can be calculated using the formula W = mgh, where m is the pilot's mass, g is the acceleration due to gravity, and h is the height of the fall. The average force exerted by the snow can be calculated using the formula F = ma, where m is the pilot's mass and a is the
  • #1
Sportsman4920
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An airplane pilot fell 360 m after jumping from an aircraft without his parachute opening. He landed in a snowbank, creating a crater 1.1 m deep, but survived with only minor injuries. Assuming the pilot's mass was 84 kg and his terminal velocity was 50 m/s, estimate the following.
(a) the work done by the snow in bringing him to the rest
J
(b) the average force exerted on him by the snow to stop him
N
(c) the work done on him by the air resistance as he fell
J
 
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  • #2
You need to show some work if you want help. I'll kick it off for you though... for solving part (c), what would his kinetic energy been without air resistance?
 
  • #3
W=(84*9.8)-1/2(50)squared*1.1

does the force exerted by the snow to bring him to rest have to be more than or equal to the force he exerts on the snow?
 
  • #4
Sportsman, was that your answer to Office_Shredder's question? I hope you don't answer your questions like that in tests and exams, it's not well presented. Please give it a proper go so we can see that you are putting effort in.
 

1. What is the impact of falling in snow while skiing?

The impact of falling in snow while skiing can vary depending on the height of the fall, the speed of the skier, and the density of the snow. Generally, the snow helps to cushion the impact and reduce the risk of injury compared to falling on a hard surface. However, falling in deep powder snow can increase the risk of suffocation.

2. How does the temperature of the snow affect a ski diver's fall?

The temperature of the snow can affect a ski diver's fall in various ways. Cold, compacted snow can be more unforgiving and increase the risk of injury. On the other hand, warm, soft snow can be more forgiving and reduce the impact of the fall. Additionally, very cold temperatures can increase the risk of hypothermia if the skier is not properly dressed.

3. What are the potential injuries from a ski diver's fall in snow?

The potential injuries from a ski diver's fall in snow can range from minor bruises and sprains to more serious injuries such as concussions, broken bones, and spinal injuries. The risk of injury can also increase if the skier is not wearing proper protective gear or if they fall onto hard or icy patches of snow.

4. How can a ski diver reduce the risk of injury when falling in snow?

To reduce the risk of injury when falling in snow, a ski diver should always wear proper protective gear such as a helmet, goggles, and padded clothing. They should also try to ski on well-groomed slopes and avoid areas with hard or icy snow. Proper skiing techniques and avoiding risky maneuvers can also help minimize the risk of falls and injuries.

5. Is it safe to ski in fresh snow after a storm?

Skiing in fresh snow after a storm can be exhilarating, but it can also pose some risks. The snow may not be fully compacted, making it more challenging to maintain control and balance while skiing. Additionally, there may be hidden obstacles such as rocks or tree branches under the fresh snow, increasing the risk of injury. It is important to ski with caution and assess the conditions before venturing onto fresh snow after a storm.

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