A 2.0-N force acts horizontally on a 10-N block that is initially at rest on a horizontal surface. The coefficient of static friction between the block and the surface is 0.50. What is the magnitude of the frictional force that acts on the block
2 N
Well, well, well, looks like we have ourselves a friction question! If you're ready for some frictional fun, let's get into it.
The magnitude of the frictional force can be determined using the formula:
frictional force = coefficient of static friction * normal force
But before we dive deep into the formula, let's understand what's going on here. We have a 10-N block that is initially at rest, and a 2.0-N horizontal force is being applied. The coefficient of static friction is given as 0.50. The normal force is the force exerted by the surface on the block, and in this case, it is equal to the weight of the block, which is 10 N.
Now we can plug in the values:
frictional force = 0.50 * 10 N
Calculating that gives us:
frictional force = 5 N
So, the magnitude of the frictional force acting on the block is 5 Newtons. Hang tight, block, you've got some friction to tackle!
To find the magnitude of the frictional force that acts on the block, we need to consider the maximum static friction force.
Step 1: Find the maximum static friction force (F_max).
The formula for the maximum static friction force is given as:
F_max = μ_s * N
where μ_s is the coefficient of static friction and N is the normal force.
Step 2: Calculate the normal force (N).
The normal force is equal to the weight of the block, which is given as 10 N in this case.
Step 3: Substitute the values into the formula.
F_max = 0.50 * 10 N
Step 4: Calculate the maximum static friction force.
F_max = 5 N
Therefore, the magnitude of the frictional force that acts on the block is 5 N.
To find the magnitude of the frictional force that acts on the block, we need to consider the maximum static friction that can be exerted between the block and the surface. The formula to calculate the maximum static friction is given by:
Maximum static friction = coefficient of static friction * normal force
The normal force is the force exerted by the surface on the block in a direction perpendicular to the surface. In this case, since the block is at rest and not accelerating vertically, the normal force is equal to the weight of the block, which is 10 N (given).
So, the maximum static friction can be calculated as follows:
Maximum static friction = 0.50 * 10 N = 5 N
Since the applied force of 2.0 N is less than the maximum static friction of 5 N, the block will not move. Therefore, the magnitude of the frictional force that acts on the block is equal to the applied force, which is 2.0 N.
In summary, the magnitude of the frictional force that acts on the block is 2.0 N.