Answer:
[tex]a=-3\ m/s^2[/tex]
Explanation:
Second Newton's Law
It allows to compute the acceleration of an object of mass m subject to a net force Fn. The relation is given by
[tex]F_n=m.a[/tex]
The net force is the sum of all vector forces applied to the object. The block has two horizontal forces applied (in absence of friction): The 30 N force acting to the right and the 60 N force to the left. The positive horizontal direction is assumed to the right, so the net force is
[tex]F_n=30\ N-60\ N=-30\ N[/tex]
Thus, the acceleration can be computed by
[tex]\displaystyle a=\frac{F_n}{m}=\frac{-30}{10}=-3\ m/s^2[/tex]
[tex]\boxed{\displaystyle a=-3\ m/s^2}[/tex]
The negative sign indicates the block is accelerated to the left
