What is the greatest amount of friction between a 5kg box and the ground if the coefficient of friction between the box and the surface is 0.35?
The greatest amount of friction between the box and the ground can be determined using the formula:
Frictional force = coefficient of friction * normal force
In this case, the normal force is equal to the weight of the box, which can be calculated as:
Weight = mass * acceleration due to gravity
Weight = 5 kg * 9.8 m/s^2 = 49 N
Therefore, the normal force between the box and the ground is 49 N.
Using the coefficient of friction (0.35) and the normal force (49 N) in the formula for frictional force, we have:
Frictional force = 0.35 * 49 N = 17.15 N
Therefore, the greatest amount of friction between the box and the ground is 17.15 Newtons.
To find the greatest amount of friction between the box and the ground, we need to use the formula for calculating friction. The formula is:
Friction = coefficient of friction * Normal force
First, let's find the normal force acting on the box. The normal force is the force exerted by a surface to support the weight of an object resting on it. In this case, the normal force is equal to the weight of the box.
The weight of the box can be calculated using the formula:
Weight = mass * gravity
Considering the mass of the box is 5 kg and the acceleration due to gravity is approximately 9.8 m/s², the weight can be calculated as follows:
Weight = 5 kg * 9.8 m/s² = 49 N
Now, we can find the frictional force using the formula for friction:
Friction = coefficient of friction * Normal force
Considering the coefficient of friction is 0.35 and the normal force is 49 N, we can calculate the frictional force:
Friction = 0.35 * 49 N = 17.15 N
Therefore, the greatest amount of friction between the 5 kg box and the ground is approximately 17.15 N.