The weight of the woman in Newton is \(\boxed{532.73{\text{ N}}}.\)
Further Explanation:
The formula for the force can be expressed as follows,
\(\boxed{F = m \times a}\)
Here, F represents the force, m represents the mass and a represents the acceleration.
The formula for the weight can be expressed as follows,
\(\boxed{W = m \times g}\)
Here, W is the weight, m is the mass and g is the acceleration due to gravity.
Given:
The weight of the woman is \(120{\text{lb}}.\)
Explanation:
First convert the unit of mass in kilogram.
\(1{\text{lb}} = 0.453{\text{ kg}}\)
Multiply 120 by 0.453 to obtain the mass in kilogram.
\(\begin{aligned}{\text{weight}}&= 120\times 0.453\\&= 54.36{\text{ kg}}\\\end{aligned}\)
The weight of the woman in newton can be obtained as follows,
\(\begin{aligned}{\text{W}} &= 54.36 \times 9.8\\&= 532.73{\text{ N}}\\\end{aligned}\)
The weight of the woman in Newton is \(\boxed{532.73{\text{ N}}}.\)
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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.
