g a 80 kg woman on roller skates pushes a 30 kg girl, also on roller skates, with a force of 100 n. the magnitude of the force exerted by the girl on the woman is group of answer choices 200 n 100 n 50 n 40 n 38 n zero

Respuesta :

The magnitude of the force exerted by the girl on the woman is 100 N .

How is it calculated?

Given,

m₁ = 80 Kg

m₂ = 30 Kg

F1 = 100 N

F₂ = ?

By applying Newton's third law of motion, the force exerted by the girl is equal  in magnitude  to the force exerted by the boy but in opposite direction.

F₁ = F₂

F₁ = m₁ × a₁

F₂ = m₂ × a₂

∴ 100 = 80 × a₁

∴ a₁ = 100 / 80

∴ a₁ = 1.25 m/s

we know,

m₁ × a₁ = m₂ × a₂

∴ 80 × 1.25 = 30 × a₂

∴ 100 = 30 × a₂

∴ a₂ = 100 / 30

∴ a₂ = 3.33 m/s

Therefore,

F₂ = m₂ × a₂

∴ F₂ = 30 × 3.33

∴ F₂ = 100 N

Hence, the magnitude of the force exerted by the girl on the woman is 100 N .

What is magnitude of force?

  1. A force magnitude is a number that expresses the
  2. A force magnitude is a number that expresses the strength of a force.
  3. Example: Suppose the force is = 10 N towards the east. "East" represents the direction, and "10" represents the strength of the force.
  4. A quantity is therefore basically a "value" or "amount" of a physical quantity it is always a scalar quantity.

Can learn more about the magnitude of force from https://brainly.com/question/20719505

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