A person applies an 80-N pulling force 25 degrees counterclockwise with respect to the right horizontal to a 100-N box. The coefficient of static friction between the box and the floor is 0.85. Will the box slide?
, what effect on Flim was produced by a) changing the nature of the surfaces, b) changing the normal force, and c) changing the area of contact between the surfaces? Be sure to cite specific results that support your responses to parts a-c.
To determine if the box will slide, we need to compare the force of friction with the maximum static friction that can be exerted between the box and the floor.
First, let's resolve the applied force into horizontal and vertical components. The horizontal component can be calculated using the cosine function and the vertical component using the sine function:
Horizontal component = Force x cos(angle) = 80 N x cos(25°)
Vertical component = Force x sin(angle) = 80 N x sin(25°)
Next, to calculate the maximum static friction force, we multiply the normal force (which is equal to the weight of the box) by the coefficient of static friction:
Maximum static friction force = Normal force x coefficient of static friction
Normal force = Weight of the box = Mass x gravitational acceleration
where gravitational acceleration is approximately 9.8 m/s^2.
So, Normal force = 100 N (mass of 100 kg x 9.8 m/s^2)
Finally, we compare the horizontal component of the applied force with the maximum static friction force.
If the horizontal component of the applied force is greater than the maximum static friction force, then the box will slide. Otherwise, it will not slide.
If the horizontal component of the applied force is less than or equal to the maximum static friction force, then the box will not slide.
Now, you can calculate the values and determine if the box will slide.