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A fighter pilot is exposed to an acceleration of [tex]3g[/tex] in the horizontal direction during takeoff. Knowing that [tex]1g = 9.8 \, \text{m/s}^2[/tex] and that the mass of the fighter pilot is [tex]51.7 \, \text{kg}[/tex], what force (in Newtons) does the fighter pilot experience in the horizontal direction? This is the force that she feels "pressing her into the back of the seat."

Answer :

1520 N Force she feels "pressing her into the back of the seat."

We have given in the statement :

In horizontal direction,

a = 3 g

a= 3×9.8 m/s^2

a= 29.4 m/s^2

Now using force formula to find the magnitude

F = m×a

F= 51.7 Kg × 29.4 m/s^2

F= 1520 N

  • A push or pull that an object experiences as a result of interacting with another item is known as a force. Every time two items interact, a force is exerted on each of the objects.
  • The force is no longer felt by the two objects after the interaction ends. Only when there is interaction do forces actually exist.
  • The standard metric unit known as the Newton is used to quantify force. "N" stands for Newton in abbreviation.

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The fighter pilot experiences a force of 1520.98 Newtons during takeoff, calculated by multiplying the pilot's mass with the acceleration of 3g, which is [tex]29.4 m/s^2[/tex].

The force experienced by a fighter pilot during takeoff can be calculated using Newton's second law of motion, which is expressed as [tex]Force\ (F) = mass\ (m) \times acceleration\ (a)[/tex]. Here, the pilot is exposed to an acceleration of 3g, which is three times the acceleration due to gravity.

Since 1g is [tex]9.8\ m/s^2[/tex], 3g will be [tex]3 \times 9.8\ m/s^2 = 29.4\ m/s^2[/tex]. By substituting the given mass of the pilot, 51.7 kg, into the formula, we get:

[tex]F = m \times a = 51.7\ kg \times 29.4\ m/s^2 = 1520.98\ N[/tex]

Therefore, the force that the pilot experiences is 1520.98 Newtons.

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