A butcher pulls on a freshly cleaned 40kg side of beef with a horizontal force of 220N and it slide across the bonding table at constant speed.Calculate the coefficient of friction?

To calculate the coefficient of friction, we can use the formula:

Coefficient of friction = Force of friction / Normal force

First, we need to calculate the force of friction. The force of friction is equal to the force the butcher is pulling with, which is 220N.

Next, we need to calculate the normal force. The normal force is equal to the weight of the side of beef, which is 40kg * 9.8m/s^2 = 392N.

Now we can calculate the coefficient of friction:

Coefficient of friction = 220N / 392N = 0.56

Therefore, the coefficient of friction between the side of beef and the bonding table is 0.56.

Given:

Mass of the beef, m = 40 kg
Horizontal force applied, F = 220 N
Constant speed implies that the net force acting on the beef is zero.

Therefore, the force of friction acting on the beef must be equal and opposite to the horizontal force applied by the butcher.

Force of friction, Ff = F = 220 N

Coefficient of friction, μ = Ff / N

To find the normal force (N) acting on the beef, we need to consider the vertical forces acting on it.

The weight of the beef acts downwards: W = mg = 40 kg × 9.81 m/s² = 392.4 N

The normal force acts upwards and balances the weight of the beef: N = W = 392.4 N

Now we can calculate the coefficient of friction:

μ = Ff / N
μ = 220 N / 392.4 N
μ = 0.561

Therefore, the coefficient of friction between the beef and the bonding table is 0.561.