pushpasubedi51 pushpasubedi51
  • 11-12-2019
  • Physics
contestada

If you double the mass of an object, how much do you need to change the force to achieve the same acceleration

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cryssatemp
cryssatemp cryssatemp
  • 16-12-2019

Answer: The force must be doubled as well

Explanation:

According to Newton's second law of motion, the force [tex]F[/tex] exerted on an object is directly proportional to its mass [tex]m[/tex] and acceleration [tex]a[/tex] :

[tex]F=m.a[/tex] (1)

Isolating [tex]a[/tex]:

[tex]a=\frac{F}{m}[/tex] (2)

Now if the mass is doubled it will be now [tex]2 m[/tex] and if we want to keep the same acceleration (2), the force also must be doubled, as follows:

[tex]a=\frac{2F}{2m}=\frac{F}{m}[/tex] (3)

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