How fast will an object with a mass of #4 kg# accelerate if a force of #17 N# is constantly applied to it?

2 Answers
Mar 22, 2018

#4.25ms^-2#

Explanation:

Given,
Force = 17 N
Mass = 4 kg

we know that force is equal to the froduct of mass and acceleration of object .
#17 N = a *4# kg
a = 17N/4kg
#a = 4.25 ms^-2#

Mar 22, 2018

4.25 meters per second per second

Explanation:

To solve this, we use Newtons 2nd law of motion which states that #F# = #m*a#.
This means that a force #F# is required to make a body of mass #m# accelerate with an acceleration of #a#.

So if a body of #4 kg# is to be accelerated by a force #17 N# then its acceleration can be found by putting into the formula #F# = #m*a#.

Mass is #4 kg# so #m# = 4
Force is #17N# so #F# = 17
We get,

#17# = #4*a#
This gives us that #a#= #17/4# or #a# = #4.25#

Hence, the body accelerates with an acceleration of 4.25 meters per second per second