An object has an acceleration of 18.2 m/s/s. If the net force experienced by the object is
decreased by a factor of 3.9, then the new acceleration would be ___m/s/s. Enter a numerical
answer.

Respuesta :

Answer:

46.2m/s²

Explanation:

Given parameters:

Acceleration  = 18.2m/s²

Original force  = F

Decrease factor = 3.9

Unknown:

New acceleration = ?

Solution:

Let the original force  = F

            new force  = [tex]\frac{F}{0.39}[/tex]

        Original acceleration = 18.2m/s²

         new acceleration  = ?

According to newton's second law of motion;

       Force = mass x acceleration

  So,

        mass = [tex]\frac{Force}{Acceleration}[/tex]

   So; initial mass = final mass

                [tex]\frac{F }{18.2}[/tex]  = [tex]\frac{\frac{F}{0.39} }{acceleration}[/tex]

             [tex]\frac{F}{0.39}[/tex] x 18.2 = F x acceleration

            Acceleration = 46.2m/s²