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)

Question

3 years ago

13

( with no change in its net force), then its new acceleration would be_____ m/s/s ?

1 answer:

Rashid [163] · Answer 1 · 2022-08-06T18:05:39+03:00

The new acceleration would be $12.0 m/s^2$

Explanation:

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

$F=ma$

where

F is the force

m is the mass

a is the acceleration

The equation can also be rewritten as

$a=\frac{F}{m}$

Here we have an object of mass $m$ and initial acceleration

$a=6.0 m/s^2$

If the mass is halved, then the new mass is

$m'=\frac{m}{2}$

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

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

Learn more about Newton's second law:

#LearnwithBrainly