contestada

An object has an acceleration of 6.0m/s/s. If the mass of this object were halved (i.e.,reduced to one-half the original value) ( with no change in its net force), then its new acceleration would be_____ m/s/s ?

Respuesta :

The new acceleration would be [tex]12.0 m/s^2[/tex]

Explanation:

The relationship between net force on an object, mass and acceleration is given by Newton's second law:

[tex]F=ma[/tex]

where

F is the force

m is the mass

a is the acceleration

The equation can also be rewritten as

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

Here we have an object of mass [tex]m[/tex] and initial acceleration

[tex]a=6.0 m/s^2[/tex]

If the mass is halved, then the new mass is

[tex]m'=\frac{m}{2}[/tex]

So the new acceleration would be, assuming the force to be constant,

[tex]a'=\frac{F}{m'}=\frac{F}{m/2}=2(\frac{F}{m})=2a=2(6)=12.0 m/s^2[/tex]

Learn more about Newton's second law:

brainly.com/question/3820012

#LearnwithBrainly

Q&A Education