Finding the acceleration of a soldier dropeed into a snow bank

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In summary, during the second world war, Russian troops were dropped from airplanes without parachutes, resulting in soldiers sinking into deep snow banks. The magnitude of the acceleration of a soldier being dropped from an airplane traveling horizontally at 72 km/h and sinking 2.4 m into the snow was determined to be 83.33 m/s^2, taking into account the initial potential energy and distance traveled. The horizontal speed was not used in the calculation, but the acceleration is a vector quantity.
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leprofece
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During the second world war, the Russians left his troops on the banks of snow falling from airplanes
low speed and flight flush, without the use of parachutes. Suppose that a soldier is dropped from an airplane traveling horizontally at a speed of 72 km/h at an altitude of 20m above a deep snow Bank. The soldier sinks to a depth of 2, 40m in the snow before stopping. What is the magnitude of the acceleration of the soldier while holding his movement in the snow?
Biook Answer a = 117; 85 m/s.

A FRIEND ANSWER:
you have to take into account that the soldier is released from 20 meters, so just before reaching the ground we can calculate its speed using conservation of mechanical energy: initial potential energy while falling soldier, you are turning into kinetic energy. EP = Ec--> m * g * h = 1/2 * v 2 * m--> v 2 = 2 * g * h = 2.10 * 20 = 400--> v = 20 m/s
Now we know that it has traveled a distance vertically from 2.4 m, so Vf'2 - Vi ^ 2 = 2 * to * s--> 0 - 20 ^ 2 = 2 *(-10*2.4-> a = 83.33 m/s^2)
Note that extra information, the horizontal speed, that has no influence in what we know
To him the speed was not used in his solving

Who has the reason?
 
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Re: Who stands the reason?

leprofece said:
During the second world war, the Russians left his troops on the banks of snow falling from airplanes
low speed and flight flush, without the use of parachutes. Suppose that a soldier is dropped from an airplane traveling horizontally at a speed of 72 km/h at an altitude of 20m above a deep snow Bank. The soldier sinks to a depth of 2, 40m in the snow before stopping. What is the magnitude of the acceleration of the soldier while holding his movement in the snow?
Biook Answer a = 117; 85 m/s.

A FRIEND ANSWER:
you have to take into account that the soldier is released from 20 meters, so just before reaching the ground we can calculate its speed using conservation of mechanical energy: initial potential energy while falling soldier, you are turning into kinetic energy. EP = Ec--> m * g * h = 1/2 * v 2 * m--> v 2 = 2 * g * h = 2.10 * 20 = 400--> v = 20 m/s
Now we know that it has traveled a distance vertically from 2.4 m, so Vf'2 - Vi ^ 2 = 2 * to * s--> 0 - 20 ^ 2 = 2 *(-10*2.4-> a = 83.33 m/s^2)
Note that extra information, the horizontal speed, that has no influence in what we know
To him the speed was not used in his solving

Who has the reason?
You can use the given depth, 2.4 m, to determine the time it takes to stop. But the acceleration is a vector quantity. You can determine the horizontal component of acceleration from the time to come to a stop.
 

Related to Finding the acceleration of a soldier dropeed into a snow bank

1. How do you calculate the acceleration of a soldier dropped into a snow bank?

The acceleration of the soldier can be calculated using the formula a = (vf - vi) / t, where vf is the final velocity, vi is the initial velocity (in this case, 0), and t is the time it takes for the soldier to hit the snow bank.

2. What is the initial velocity of a soldier dropped into a snow bank?

The initial velocity of the soldier is 0, as the soldier is at rest before being dropped into the snow bank.

3. How long does it take for a soldier to hit the snow bank when dropped?

The time it takes for the soldier to hit the snow bank can be determined by using the formula t = √(2d/g), where d is the distance the soldier falls and g is the acceleration due to gravity (9.8 m/s²). This assumes the soldier is dropped from rest and air resistance is negligible.

4. How does the density of the snow affect the acceleration of the soldier?

The density of the snow can affect the acceleration of the soldier by creating a cushioning effect, reducing the impact force and therefore the acceleration. The denser the snow, the more cushioning and lower the acceleration will be.

5. What other factors may affect the acceleration of a soldier dropped into a snow bank?

Other factors that may affect the acceleration of the soldier include air resistance, the height from which the soldier is dropped, and the angle at which the soldier is dropped. Air resistance can slow down the soldier's fall, resulting in a lower acceleration. A higher drop height will result in a greater acceleration due to gravity acting over a longer distance. The angle of the drop can also affect the acceleration, as a steeper angle will result in a shorter distance for gravity to act over, leading to a higher acceleration.

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