[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] .