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An object has an acceleration of 12.0 m/s/s. If the mass of
this object were reduced to one-third the original value (with
no change in its net force), then its new acceleration would be______m/s/s.

Respuesta :

Answer:

New acceleration would be [tex]36ms^{-2}[/tex]

Explanation:

Given ,

  • The initial acceleration [tex]a_{i}=12ms^{-2}[/tex]=

Let's assume the mass of the object to be '[tex]mKg[/tex],

Thus the net force [tex]F[/tex] acting on the object will be ,

[tex]F=ma_{i}\\F=m*12\\F=12mN[/tex]

  • Now if the mass reduces to one - third of the original value ,

           [tex]m_{new}=\frac{m}{3}Kg[/tex]

And since the same force [tex]F[/tex] acts on it ,

[tex]F=m_{new}a_{new}\\12m=\frac{m}{3} a_{new}\\a_{new}=12*3\\a_{new}=36ms^{-2}[/tex]

Thus,

[tex]a_{new}=36ms^{-2}[/tex]

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