Respuesta :

[tex]Acceleration=4 ms^{-2}[/tex]

Explanation:

We have , A force of 64n is applied to a 16kg mass . We need to find the acceleration  . Let's find out:

We know that force applied by any body is equal to the product of it's mass and it's acceleration . S.I unit of force is Newton  , and expressed as N . Formula to calculate amount of force applied by a body when it's mass is m and acceleration if a is

⇒ [tex]Force = mass(acceleration)[/tex]

⇒ [tex]Force = m(a)[/tex]

Here , According to question :

[tex]Force = 64N\\mass = 16kg\\[/tex]

Putting these values in equation [tex]Force = m(a)[/tex] we get:

⇒  [tex]Force = mass(acceleration)[/tex]

⇒  [tex]64 =16(acceleration)[/tex]

⇒  [tex](acceleration) =\frac{64}{16}[/tex]

⇒  [tex]Acceleration= \frac{16(4)}{16}[/tex]

⇒  [tex]Acceleration=4 ms^{-2}[/tex]

Therefore, [tex]Acceleration=4 ms^{-2}[/tex] .