Respuesta :
Answer:
Therefore the acceleration of the box is [tex]\frac{2}{3}[/tex] m/s²
Explanation:
Force: Force is defined as the product of mass the object and acceleration of the object.
F= m×a
F= force
m= mass
a = acceleration
Friction: Friction is one kind of force , against the moment of an object.
Here, two types of force are applied on the object.
Horizontally force which is along the displacement.
and the friction force is opposite direction of the displacement.
Total force [tex]F= F_h-F_f[/tex]
[tex]F_h= 230 N[/tex] and [tex]F_f= 210N[/tex] mass (m)= 30 kg
We know that
F= m×a
[tex]\Rightarrow a=\frac{F}{m}[/tex]
[tex]\Rightarrow a=\frac{F_h-F_f}{m}[/tex]
[tex]\Rightarrow a=\frac{230-210}{30}[/tex]
[tex]\Rightarrow a=\frac{2}{3}[/tex] m/s²
Therefore the acceleration of the box is [tex]\frac{2}{3}[/tex] m/s²
