Friction Problem: Find Time to Rest w/ Force of 5.0 N

[Lobos Wolfen]

I have a question on a Friction problem I have received. The question is, If the force acting on the two bricks is 5.0 N, how much time will elapse before the bricks come to rest.

Infomation given- The two bricks are sliding together, the wieghts are 24.5 N and 36.8 N, they are moving at a speed of 1.77 m/sec.

 

[Doc Al]

Is 5.0 N the friction force? If so, figure out the acceleration of the bricks using Newton's 2nd law.

 

[ogb p]

To solve this problem, we need to use the equation for friction force: Ff = μN, where μ is the coefficient of friction and N is the normal force. In this case, the normal force is equal to the weight of the bricks, so we can rewrite the equation as Ff = μmg, where m is the mass of the bricks and g is the acceleration due to gravity.

We also know that the total force acting on the bricks is 5.0 N, which is equal to the friction force plus the force of gravity pulling the bricks down the incline. So, we can set up the following equation:

5.0 N = Ff + mg

To find the time it takes for the bricks to come to rest, we need to first find the acceleration of the bricks. Using Newton's second law, we can rearrange the above equation to solve for the acceleration:

a = (5.0 N - Ff) / m

Next, we can use the equation for constant acceleration to find the time it takes for the bricks to come to rest:

vf = vi + at

Where vf is the final velocity (which is 0 m/sec when the bricks come to rest), vi is the initial velocity (1.77 m/sec) and a is the acceleration we just calculated.

Plugging in the values, we get:

0 m/sec = 1.77 m/sec + [(5.0 N - μmg) / m]t

Solving for t, we get:

t = (1.77 m/sec) / [(5.0 N - μmg) / m]

Now, we need to find the coefficient of friction, μ. This can be done by using the weight of the bricks and the angle of the incline. However, since this information is not provided in the given problem, I cannot accurately solve for the coefficient of friction and therefore cannot provide a specific time for the bricks to come to rest.

In order to solve this problem accurately, we would need to know the angle of the incline and the coefficient of friction. These are essential pieces of information that cannot be overlooked when solving friction problems. I suggest going back to the original source of the problem and checking if any additional information is provided. Without these key pieces of information, it is not possible to accurately solve this problem.