What is the coefficient of friction on a 221.9 gram block of wood with 150 grit sandpaper on the bottom being pulled by .392 newtons. NEED HELP IMMEDIATELY!!!!!! Please and thank you
If .392 Newtons is pulling it at constant speed then the friction is equal and opposite to the pull
.392 = mu m g = mu (.2219)(9.81)
To determine the coefficient of friction for the given scenario, we can follow these steps:
Step 1: Calculate the force of gravity acting on the block.
The force of gravity can be calculated using the equation: F = m * g, where F is the force, m is the mass, and g is the acceleration due to gravity (approximately 9.8 m/s^2).
In this case, the mass of the block is given as 221.9 grams, which can be converted to kilograms by dividing by 1000. So the mass, m, is 0.2219 kg.
Now we can calculate the force of gravity: F_gravity = 0.2219 kg * 9.8 m/s^2.
Step 2: Calculate the net force.
The net force can be calculated by subtracting the force of gravity from the applied force. In this case, the applied force is given as 0.392 newtons.
So the net force, F_net, is: F_net = 0.392 N - F_gravity.
Step 3: Calculate the coefficient of friction.
The coefficient of friction, denoted as μ (mu), is calculated by dividing the frictional force (opposing motion) by the normal force (force perpendicular to the contact surface).
Frictional force, F_friction, can be calculated using the equation: F_friction = μ * F_normal.
In this scenario, the normal force is equal to the force of gravity acting on the block (since the block is on a horizontal surface).
So F_normal = F_gravity.
Now, substituting the values into the equation:
F_friction = μ * F_normal
F_friction = μ * F_gravity
Since we already have the net force (F_net) calculated, and this is equal to the frictional force, we can rewrite the equation:
F_net = μ * F_gravity
Step 4: Rearrange the equation to solve for the coefficient of friction (μ).
μ = F_net / F_gravity
Now we have all the necessary values to calculate the coefficient of friction.
Note: The coefficient of friction is a dimensionless quantity and does not have any units.
Please provide the value of F_gravity calculated in Step 1, and we can proceed with the calculation.