![]() ![]() An acceleration of just 16 g's for an extended time period can be deadly also. It seems that the duration of the acceleration is quite important. However, it also says that some people may have survived accelerations up to 100 g's. To recap, in this equation, g is the gravitational. You get this value from the Law of Universal Gravitation. This equation can be used to determine the acceleration of gravity for any planet given its mass and radius. Wikipedia's g-force tolerance page lists 50 g's as "likely death". The 9.8 m/s2 is the acceleration of an object due to gravity at sea level on earth. Then what kind of accelerations can a human body withstand? In a previous episode of Mythbusters - the jumping from a building with bubble wrap one, they state that stunt men aim for a maximum acceleration of 10 g's. But wouldn't that be cool? If there was some force field that could stop you (or shoot you off like a bullet) without causing damage? Yes. The only force that pulls on all parts of a body would be the gravitational force (since all the parts have mass). Earth and other planets attract objects towards itself with some force which depends on the mass and the distance between them. ![]() No inner spring compression means no body damage. What if there was some long range force to accelerate this two-ball model of a body? If this same force was on both balls in the model, you could get a super high acceleration without having to compress the inner spring. Now, since weight is a force, its SI unit. So, large accelerations can cause damage. Specifically, the weight force W is equal to the object's mass m multiplied by the acceleration due to gravity g. This is where the damage comes into play. If this spring is compressed too much, it could break. The greater the acceleration, the greater this spring force must be and the more compressed the inner spring will be. F avg s m a g h (5) The impact force can be expressed as. This means that the force the inner spring exerts on the top ball must be greater than the gravitational force. a g acceleration of gravity (9.81 m/s 2, 32.17405 ft/s 2) h falling height (m) If the dynamic energy from the fall is converted to impact work - equation 2 and 4 can be combined to. Since it has to accelerate up, it must have a net force pointing upwards. (Having it to 5 decimal places is silly since its unlikely that. If the body falls and collides with the ground, it must accelerate in the upward direction. So experiencing would be experiencing 9 times this acceleration, which is about 88.29 m/s2. In this model, there are two balls connected by a spring. ![]()
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