A force is needed to readjust the speed of an object, and also the adjust of rate is the acceleration. And mass can be thought of together a home of an object with which it resists acceleration (this is referred to as inertia, https://en.wikipedia.org/wiki/Inertia for further reading). The relationship between these quantities is then $vec F= m cdot vec a$.

You are watching: Acceleration is inversely proportional to mass

By convention we decide the mass is an crucial attribute of an object (since it steps the amount of "stuff" in the object), and then the equation

$displaystyle a = frac F m$

establishes the acceleration is proportional to used force but inversely proportional to mass. This renders intuitive feeling - the much more "stuff" over there is in one object, the more complicated it is to accelerate it.

But we could instead decide that the mutual of mass was the necessary attribute (in the same method as we occasionally talk about the electric conductance of things rather 보다 its resistance). Let"s speak to the mutual of mass "ssam", and denote it by "w". Climate we would have

$a = F w$

In various other words, acceleration is now straight proportional come both applied force and also "ssam".

share

cite

boost this prize

monitor

answered may 23 at 16:13

gandalf61gandalf61

29.9k66 gold badges4646 silver- badges8686 bronze badges

$endgroup$

include a comment |

1

$egingroup$

Force is price of adjust of momentum:

$$ vec F = fracdvec pdt$$

and $vec ns = mvec v$. So:

$$ vec F = mfracdvec vdt + dot m vec v$$

With $dot m= 0$ and also $vec aequiv dvec v/dt$:

$$ vec F=mvec a $$

re-superstructure

cite

enhance this answer

monitor

answered might 23 at 18:47

JEBJEB

22.5k33 yellow badges2727 silver badges4949 bronze badges

$endgroup$

add a comment |

0

$egingroup$

We recognize $F = m * a$ . Climate , you rearrange the equation.

a = $frac F m$.

Case 1: Considering F to be const :

Acceleration is inversely proportional to mass.

Case 2: Considering m to be constant:

Acceleration is straight proportional come Force.

It will certainly be a different question if friend ask why is F = m *a. Friend can check this price of mine if you perform have.https://sdrta.net/a/638836/287551

Hence proved. Perform let me understand if you have any kind of difficulty.

re-publishing

mention

enhance this prize

monitor

answered might 26 at 14:32

S.M.TS.M.T

25411 silver- badge1212 bronze badges

$endgroup$

include a comment |

## your Answer

Thanks for contributing response to sdrta.net stack Exchange!

Please be sure to*answer the question*. Administer details and also share your research!

But *avoid* …

Use MathJax to style equations. MathJax reference.

To find out more, watch our tips on writing great answers.

See more: How Did The Textile Industry Profit From The Agricultural Revolution

Draft saved

Draft discarded

### Sign increase or log in in

authorize up using Google

sign up utilizing Facebook

authorize up making use of Email and also Password

send

### Post as a guest

name

email Required, but never shown

### Post as a guest

surname

Required, but never shown

article Your answer Discard

By clicking “Post your Answer”, friend agree come our terms of service, privacy policy and cookie plan

## Not the prize you're feather for? Browse various other questions tagged newtonian-mechanics forces mass acceleration or asking your very own question.

Featured on Meta

Linked

-5

Newton's regulations of motion course 9

associated

1

can we determine the force things exerts through its mass and also acceleration?

2

force inversely proportional come the squared street

9

how did Newton find out pressure has something to carry out with acceleration?

2

Force and also center of massive acceleration

1

train station Proportionality in $F=ma$ equation

0

example for velocity gift inversely proportional to pressure

hot Network questions more hot questions

question feed

i ordered it to RSS

inquiry feed To i ordered it to this RSS feed, copy and paste this URL into your RSS reader.

sdrta.net

agency

ridge Exchange Network

site architecture / logo © 2021 ridge Exchange Inc; user contributions licensed under cc by-sa. Rev2021.11.17.40778

sdrta.net stack Exchange works finest with JavaScript enabled

her privacy

By click “Accept every cookies”, girlfriend agree ridge Exchange have the right to store cookie on your machine and disclose info in accordance with our Cookie Policy.