Answer:
[tex]2.0\cdot 10^2 N[/tex]
Explanation:
The cabinet does not move: this means that the net force acting on it is zero.
Along the horizontal direction, we have two forces:
- The push exerted by Bob, F = 200 N, forward
- The frictional force, [tex]F_f[/tex], which acts in the opposite direction (backward)
Since the net force must be zero, we have:
[tex]F-F_f = 0[/tex]
So solving the equation we can find the magnitude of the friction force:
[tex]F_f = F = 200 N=2.0 \cdot 10^2 N[/tex]