Respuesta :

m= 120 lb = 54.4 kg

weight = [tex] F_{n} [/tex]
[tex] F_{n} [/tex] = mg
= (54,4 kg)(9.8 m/s^2)
=  533.12 N

The weight of the woman in Newton is [tex]\boxed{532.73{\text{ N}}}.[/tex]

Further Explanation:

The formula for the force can be expressed as follows,

[tex]\boxed{F = m \times a}[/tex]

Here, F represents the force, m represents the mass and a represents the acceleration.

The formula for the weight can be expressed as follows,

[tex]\boxed{W = m \times g}[/tex]

Here, W is the weight, m is the mass and g is the acceleration due to gravity.

Given:

The weight of the woman is [tex]120{\text{lb}}.[/tex]

Explanation:

First convert the unit of mass in kilogram.

[tex]1{\text{lb}} = 0.453{\text{ kg}}[/tex]

Multiply 120 by 0.453 to obtain the mass in kilogram.

[tex]\begin{aligned}{\text{weight}}&= 120\times 0.453\\&= 54.36{\text{ kg}}\\\end{aligned}[/tex]

The weight of the woman in newton can be obtained as follows,

[tex]\begin{aligned}{\text{W}} &= 54.36 \times 9.8\\&= 532.73{\text{ N}}\\\end{aligned}[/tex]

The weight of the woman in Newton is [tex]\boxed{532.73{\text{ N}}}.[/tex]

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Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Gravity

Keywords: weight, mass, acceleration, acceleration due to gravity, gravity, force, Newton, weighs, woman 120 lb.