Answer:
[tex]f_k = 310N[/tex]
the answer is A.
Explanation:
Using the laws of newton:
∑F = ma
where ∑F is the sumatory of forces acting in the system, m the mass and a the acelertion of the system.
Then, if the block is moving with constant velocity, its aceleration is equal to 0, so:
∑F = m(0)
∑F = 0
It means that:
F -[tex]f_k[/tex] = 0
where F is the force applied and [tex]f_k[/tex] is the friction force. Replacing the value of F, we get:
310N -[tex]f_k[/tex] = 0
Finally, solving for [tex]f_k[/tex]:
[tex]f_k = 310N[/tex]