A 55 kg ice skater, initially at rest on a flat skating rink, requires a 198 N horizontal force to be set in motion. However, after the skater is in motion, a horizontal force of 175 N keeps her moving at a constant velocity. Find the coefficients of static and kinetic friction between the skates and the ice.
When motion is started, the applied force = (static friction coeff.) x (weight)
Use that relationship to get the static friction coefficient, and remember then weight = m g
When the skater is moving at constant speed, a similar relation applies
force = (kinetic friction coeff.) x (weight)
sorry i really hate physics now since i cant solve this question
Sincerely,
urmama, idontknow
the skaters crash into each other and blow up and die
boy dinner is ready stop skating and come home!!!
Loser
To find the coefficients of static and kinetic friction, we can use the given information and the equations provided.
1. Finding the coefficient of static friction:
When the ice skater is initially at rest, the applied force required to set her in motion is 198 N. This applied force is equal to the force of static friction acting in the opposite direction.
The equation for the force of static friction is:
Force of static friction = (static friction coefficient) × (weight)
Since the skater is at rest, the weight is equal to the mass multiplied by the acceleration due to gravity (g):
Weight = mass × g
Substituting this into the equation for static friction:
Force of static friction = (static friction coefficient) × (mass × g)
Given that the applied force is 198 N and the mass of the skater is 55 kg, we can solve for the coefficient of static friction:
198 N = (static friction coefficient) × (55 kg × g)
To find the coefficient of static friction, we need the value of acceleration due to gravity, which is approximately 9.8 m/s^2.
Coefficient of static friction = 198 N / (55 kg × 9.8 m/s^2)
2. Finding the coefficient of kinetic friction:
When the skater is moving at a constant velocity, a force of 175 N is needed to keep her in motion. This force is equal to the force of kinetic friction acting in the opposite direction.
The equation for the force of kinetic friction is:
Force of kinetic friction = (kinetic friction coefficient) × (weight)
Again, substituting the weight value:
Force of kinetic friction = (kinetic friction coefficient) × (mass × g)
Given that the force of kinetic friction is 175 N and the mass of the skater is 55 kg:
175 N = (kinetic friction coefficient) × (55 kg × 9.8 m/s^2)
To find the coefficient of kinetic friction, we can solve for it:
Coefficient of kinetic friction = 175 N / (55 kg × 9.8 m/s^2)
Calculating these values will give you the coefficients of static and kinetic friction between the skates and the ice.