A force is applied to a 2. 2 kg mass and pro- duces 2. 8 m/s² acceleration. 2 What acceleration would be produced by the same force applied to a 9. 1 kg mass? Answer in units of m/s². ​



Answer :

The acceleration would be produced by the same force applied to a 9. 1 kg mass is 0.68 m/s².

Newton's second law states, the acceleration of an object depends directly on the net force acting on the object, and inversely on the mass of the object. The formula F = ma

  • F = force (Newton)
  • m = mass of the object (kg)
  • a = acceleration (m/s²)

Perimeter

  • Mass of the first object = m₁ = 2.2 kg
  • Acceleration of the first object = a₁ = 2.8 m/s²
  • Mass of the second object = m₂ = 9.1 kg
  • The same force applied to both objects F₁ = F₂

F₁ = F₂

m₁ × a₁ = m₂ × a₂

2.2 × 2.8 = 9.1 × a₂

6.16 = 9.1 × a₂

[tex]a_2 = \frac{6.16}{9.1}[/tex]

a₂ = 0.68 m/s²

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