A force of 300N is sufficient to keep a 100_kg wooden crate moving at constant velocity across a wooden floor. what is the coefficient of kinetic friction?
300 = mu m g = mu * 100 * 9.81
That is it. Try yourself now.
M*g = 100 * 9.8 = 980 N. = Wt. of crate = Normal (Fn),
Fk = u*Fn = u * 100 = 100u = Force of kinetic friction,
F - Fk = M*a,
300 - 100u = 100*0 = 0,,
u = 3.
Well, let's see. If there's constant velocity, that means that the net force acting on the crate is zero. So, we can deduce that the force of friction acting against the crate is equal in magnitude to the force applied to it.
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Now, back to business. We know the force of friction is equal to the coefficient of kinetic friction multiplied by the normal force. In this case, the normal force is equal to the weight of the crate, which is given by the equation: weight = mass x gravity.
So, if the force of friction is 300N and the weight of the crate is 100 kg x 9.8 m/s² (approximating gravity as 9.8 m/s²), we can find the coefficient of kinetic friction by dividing the force of friction by the weight.
Math time: coefficient of kinetic friction = force of friction / weight
Plugging in the values: coefficient of kinetic friction = 300N / (100 kg x 9.8 m/s²)
Calculating that gives us the coefficient of kinetic friction. Remember, the answer is just a number, not a punchline.
To solve this problem, we can use the following equation:
Force of friction = coefficient of friction × normal force
In this case, the normal force is equal to the weight of the wooden crate, which is given by:
Weight = mass × acceleration due to gravity
Given that the mass of the wooden crate is 100 kg and the acceleration due to gravity is approximately 9.8 m/s², we can calculate the weight:
Weight = 100 kg × 9.8 m/s² = 980 N
Now, we can plug the values into the equation:
300 N = coefficient of friction × 980 N
To solve for the coefficient of friction, divide both sides of the equation by 980 N:
coefficient of friction = 300 N / 980 N
Simplifying the calculation:
coefficient of friction = 0.306
So, the coefficient of kinetic friction is approximately 0.306.
To find the coefficient of kinetic friction, we need to use the formula:
Coefficient of kinetic friction (μ) = (Force of friction) / (Normal force)
The normal force is the force exerted by the surface perpendicular to the contact point, and in this case, it is equal to the weight of the crate (mass x gravity). So, the normal force can be calculated as:
Normal force = Mass x Gravity
Given:
Force of friction = 300 N
Mass of the wooden crate = 100 kg
First, we need to find the normal force:
Normal force = Mass x Gravity = 100 kg x 9.8 m/s^2 ≈ 980 N
Now, we can calculate the coefficient of kinetic friction:
Coefficient of kinetic friction (μ) = (Force of friction) / (Normal force)
= 300 N / 980 N
≈ 0.306
Therefore, the coefficient of kinetic friction is approximately 0.306.