During World War 2, there were some cases where the crew fell out of burning aircraft without a parachute and survived the fall. Assume that the crew member reached a constant terminal speed of 126.1 km/hr prior to hitting a stack of loose hay. If the crew member can survive an acceleration of 36.0 g, where g is the gravitational constant, and assuming uniform acceleration, how high a stack of hay is required for the crew member to survive the fall?

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Physics

Silvia

12 February, 05:19

During World War 2, there were some cases where the crew fell out of burning aircraft without a parachute and survived the fall. Assume that the crew member reached a constant terminal speed of 126.1 km/hr prior to hitting a stack of loose hay. If the crew member can survive an acceleration of 36.0 g, where g is the gravitational constant, and assuming uniform acceleration, how high a stack of hay is required for the crew member to survive the fall?

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Madden Stone · Answer 1

The crew member can decelerate at a maximum of 36 g. We must convert this into meters per second squared. Moreover, the terminal velocity of the crew member must be expressed in meters per second. These are:

acceleration = 36 * - 9.81 = - 353.2 m/s² (negative sign due to deceleration)

velocity = 126.1 km/hr = 35 m/s (this will be the initial velocity upon hitting the hay stack)

The final velocity of the crew member will be 0.

We use the formula:

2as = v² - u²

2 * s * - 353.2 = 0² - (35²)

s = 1.73 meters

The haystack must be 1.73 meters high