The static frictional between a 500 kilogram box of bricks and the floor is 500 Newton’s. The kinetic frictional force in only 220 Newton’s. How many Newton’s of force must a worker exert to get the moving?
you need 500 N to overcome the static friction
as is frequently the case; once something starts, it is easier to keep it moving
To get the box of bricks moving, the worker must overcome the static frictional force.
The static frictional force can be calculated using the formula:
Fs = μs * N
where
Fs is the static frictional force,
μs is the coefficient of static friction,
N is the normal force.
Given that the static frictional force is 500 Newton’s, we need to find the coefficient of static friction.
Since the coefficient of static friction is not provided, we need to rearrange the formula:
μs = Fs / N
The normal force can be calculated using the formula:
N = m * g
where
m is the mass of the box (500 kg),
g is the acceleration due to gravity (approximately 9.8 m/s^2).
Substituting the values:
N = 500 kg * 9.8 m/s^2 = 4900 N
Now we can calculate the coefficient of static friction:
μs = 500 N / 4900 N ≈ 0.102
Finally, we can calculate the force the worker must exert to get the box moving. Since the kinetic frictional force (Fk) is given as 220 Newton’s, we can directly use this value:
Fk = 220 Newton’s
Therefore, the worker must exert a force of 220 Newton’s to get the box moving.
To determine the amount of force a worker must exert to get the box of bricks moving, we need to consider the concept of static friction and kinetic friction.
Static friction is the force that must be overcome to initiate motion between two surfaces that are in contact. Once motion is initiated, the frictional force decreases to the kinetic friction. In this case, the static friction force is given as 500 Newtons, and the kinetic friction force is given as 220 Newtons.
To get the box moving, the worker needs to apply a force greater than the maximum static friction force. Therefore, the worker must exert a force greater than 500 Newtons.
It's important to note that the exact amount of force required to get the box moving depends on various factors, including the specific attributes of the surfaces in contact and any other forces acting on the box. In practice, it's often a good idea to apply a slightly larger force than the calculated value to ensure the box starts moving smoothly.