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Answered

How far from the front of the car will the CM be when two people sit in the front seat 2.80 m from the front of the car, and three people sit in the back seat 3.90 m from the front

Answer :

Onyebuchinnajigo

The center mass of the car from the front for the given passengers is 3.46 m.

The given parameters;

  • distance of 2 people from the front of the car, d₁ = 2.8 m
  • distance of 3  people from the front of the car, d₂ =3.9 m

Assuming the mass of the passengers is the same, let their mass = m

Keeping the front seat as the reference point, the center mass is calculated as;

[tex]X_{cm} = \frac{ \ 2M(2.8m) \ + \ 3M(3.9m) }{2M + 3M} \\\\X_{cm} = \frac{17.3 Mm}{5M} \\\\X_{cm} = 3.46\ m[/tex]

Thus, the center mass of the car from the front for the given passengers is 3.46 m.

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