How fast will an object with a mass of 16 kg accelerate if a force of 4 N is constantly applied to it?

2 Answers
Mar 10, 2018

a=0.25m/s^2

Explanation:

We can use the equation:

Force = mass * acceleration

Or:

F=ma

Here, F=4N
Here, m=16kg

Thus, we can input the values:

4=16a

Solve for a:

16a=4

(16a)/16=4/16

a=4/16

a=0.25m/s^2

Thus, solved.

Mar 10, 2018

I get 0.25 \ "m/s"^2.

Explanation:

We use Newton's second law of motion, which states that

F=ma

where m is the mass of the object in kilograms, a is the acceleration in "m/s"^2.

We need to solve for acceleration, so we arrange the equation into:

a=F/m

Plugging in the values, we get

a=(4 \ "N")/(16 \ "kg")

Recall that 1 \ "N"=1 \ "kg"*"m/s"^2. So, we got

a=(4color(red)cancelcolor(black)"kg"*"m/s"^2)/(16color(red)cancelcolor(black)"kg")

=0.25 \ "m/s"^2

So, the object will accelerate at 0.25 \ "m/s"^2.