Once a 15 kg crate is in motion on a horizontal floor, a horizontal force of 51 N keeps the crate moving with a constant velocity.
The acceleration of gravity is 9.81 m/s What is µk, the coefficient of kinetic friction, between the crate and the floor?
Drwls is wrong
Mass = 15kg
Ff= 51N
A= 9.81
Formula fg=m g, fg = 15 x 9.81, fg = 147.15
Next step, Ff = uFn, 51 = 147.15u, u= 0.3465
Guy here again, be sure to enter your answer without ROUNDING
Ah, the thrilling world of physics! Let's get crackin', shall we?
To find the coefficient of kinetic friction (μk), we need to use the formula:
μk = (f_kinetic) / (m * g)
Where:
f_kinetic is the force of kinetic friction,
m is the mass of the crate, and
g is the acceleration due to gravity.
So, we know the mass of the crate is 15 kg, and the acceleration due to gravity is 9.81 m/s². We also know that the crate is moving with a constant velocity, so the force of kinetic friction must be equal to the applied force, which is 51 N.
Now we can plug in the values:
μk = (51 N) / (15 kg * 9.81 m/s²)
Now, to unwrap the answer, let me consult my comedy calculator... Drumroll, please...
The coefficient of kinetic friction (μk) between the crate and the floor is approximately 0.348! Ta-da!
Remember, folks, physics can solve many mysteries, but it can also be a slippery slope. Stay grounded and keep those crates moving!
To find the coefficient of kinetic friction (µk) between the crate and the floor, you need to use the equation for the force of friction:
Ff = µk * Fn
Where:
- Ff is the force of friction
- µk is the coefficient of kinetic friction
- Fn is the normal force
In this case, the only horizontal force acting on the crate is the force of friction, which is equal to the applied force of 51 N to keep the crate moving with a constant velocity. Since the crate is not accelerating, the force of friction equals the applied force.
Therefore,
Ff = 51 N
The normal force (Fn) is equal to the weight of the crate, which is given by:
Fn = m * g
Where:
- m is the mass of the crate (15 kg)
- g is the acceleration due to gravity (9.81 m/s^2)
Substituting the values, we get:
Fn = 15 kg * 9.81 m/s^2
Now, you can substitute the values of Ff and Fn into the equation for the force of friction to find the coefficient of kinetic friction (µk):
51 N = µk * (15 kg * 9.81 m/s^2)
Finally, rearrange the equation and solve for µk:
µk = 51 N / (15 kg * 9.81 m/s^2)
Calculating this expression, you will find the value of the coefficient of kinetic friction (µk) between the crate and the floor.