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A woman falls to the ground while wearing a parachute. The air resistance on the parachute of the parachute is 500N. If the woman falls at a constant rate of 5m/s, then the gravitational force on her is
A) 500N
B) less than 500N
C) more than 500N
D) There is not enough information to draw a conclusion about the gravitation forces.

Respuesta :

skyluke89

The gravitational force on the woman is A) 500 N

Explanation:

There are two forces acting on the woman during her fall:

  • The force of gravity, [tex]F_G[/tex], acting downward
  • The air resistance, [tex]F_D[/tex], acting upward

According to Newton's second law, the net force acting on the woman is equal to the product between the woman's mass and her acceleration:

[tex]\sum F=ma[/tex]

where m is the mass of the woman and a her acceleration.

The net force can be written as

[tex]\sum F = F_G - F_D[/tex]

Also, we know that the woman falls at a constant velocity (5 m/s), this means that her acceleration is zero:

[tex]a=0[/tex]

Combining the equations together, we get:

[tex]F_G-F_D = 0[/tex]

which means that the magnitude of the gravitational force is equal to the magnitude of the air resistance:

[tex]F_G=F_D=500 N[/tex]

Learn more about forces and Newton's second law:

brainly.com/question/3820012

#LearnwithBrainly

Answer: A) 500N

Explanation: To be in equilibrium the weight must be equal to 500N to balance out air resistance.

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