A horizontal force of 5.0 N pushes a 0.50-kg block against a vertical wall. The block is initially at rest. If $\mu$_s = 0.60 and $\mu$_k = 0.80, the acceleration of the block in m/s² is: A) 0 B) 1.8 C) 6.0 D) 8.0 E) 9.8

Question

Quizplus · Accepted Answer

The first step is to find the force of friction on the block. Here, we only need to consider the horizontal forces, since the block is pressed against the wall and cannot move in that direction. Therefore, the force of friction is equal and opposite to the applied force of 5.0 N, and so is also 5.0 N.

Next, we must determine the net force acting on the block in the horizontal direction. This is equal to the applied force of 5.0 N minus the force of friction, which is also 5.0 N. Therefore, the net force is zero.

Finally, we can use the equation Fnet = ma to determine the acceleration of the block. Since the net force is zero, the acceleration is also zero. Therefore, the answer is (B) 0.

A Horizontal Force of 5 μ\muμ s = 0 μ\muμ k = 0

A Horizontal Force of 5 $\mu$ _s = 0 $\mu$ _k = 0