MATH SOLVE

8 months ago

Q:
# Pulled by an 8.0-N block, as shown in Figure 4-6a, a 20-N block slides to the right with constant velocity. Find c between the block and the table. Assume that the friction in the pulley is negligible.

Accepted Solution

A:

Unfortunately, without Figure 4-6a or any additional information, it is challenging to accurately determine the value of the coefficient of friction (c) between the block and the table. The coefficient of friction depends on various factors such as the nature of the surfaces in contact, the roughness of the surfaces, and the normal force acting on the block.
However, I can provide you with a general understanding of the coefficient of friction and how it relates to the scenario you described. The coefficient of friction (c) is a dimensionless value that represents the ratio of the frictional force between two surfaces to the normal force pressing the surfaces together. It is typically denoted as either static friction (c_s) or kinetic friction (c_k), depending on whether the surfaces are at rest or in motion relative to each other.
In your scenario, you mentioned that the 20-N block is being pulled by an 8.0-N force and sliding to the right with a constant velocity. This implies that the force of friction acting on the block is equal in magnitude but opposite in direction to the pulling force. Since the block is moving with a constant velocity, the force of friction must be equal to the applied force, balancing it out.
In this case, the coefficient of kinetic friction (c_k) between the block and the table can be calculated using the equation:
c_k = (force of kinetic friction) / (normal force)
Since the normal force acting on the block is equal to its weight (20 N) in this scenario, the coefficient of kinetic friction (c_k) would be equal to the ratio of the applied force (8.0 N) to the weight of the block (20 N):
c_k = 8.0 N / 20 N
c_k = 0.4
Therefore, based on this simplified analysis, the coefficient of kinetic friction (c) between the block and the table would be approximately 0.4. However, please note that this value is an estimation based on limited information and assumptions, and the actual coefficient of friction could vary depending on the specific conditions and materials involved.