The acceleration of high-speed aircraft is sometimes expressed in g's (in multiples of the standard acceleration of gravity). Determine the upward force, in N, that a 78.03-kg person would experience in an aircraft whose acceleration is 5.05 g's. Assume the standard acceleration of gravity is 8.23 m/s^2.

Question

Physics

Amiyah Cross

3 July, 18:21

The acceleration of high-speed aircraft is sometimes expressed in g's (in multiples of the standard acceleration of gravity). Determine the upward force, in N, that a 78.03-kg person would experience in an aircraft whose acceleration is 5.05 g's. Assume the standard acceleration of gravity is 8.23 m/s^2.

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Gator · Answer 1

3888.23 N

Explanation:

m = mass of the person = 78.03 kg

g = standard acceleration due to gravity = 8.23 m/s²

a = acceleration of the aircraft = 5.05 g = 5.05 x 8.23 = 41.6 m/s²

F = upward force the person experience

Force equation for the motion of person is given as

F - mg = ma

Inserting the values

F - (78.03) (8.23) = (78.03) (41.6)

F = 3888.23 N