To find the coefficient of static friction between the chair and the floor, we need to use the equation:
static friction = coefficient of static friction * normal force
where the normal force is equal to the weight of the chair.
The weight of the chair can be calculated using the formula:
weight = mass * gravity
where the mass of the chair is 25 kg and the acceleration due to gravity is approximately 9.8 m/s^2. Therefore:
weight = 25 kg * 9.8 m/s^2
weight = 245 N
Now, we can use the given information to calculate the force required to set the chair in motion, and the force required to keep it moving at a constant velocity.
The force required to set the chair in motion is 165 N, and the force required to keep it moving at a constant velocity is 127 N.
The force required to set the chair in motion is equal to the sum of the force of static friction and the applied force:
165 N = static friction + 127 N
To find the coefficient of static friction, we rearrange the equation to solve for the frictional force:
static friction = 165 N - 127 N
static friction = 38 N
Now we can substitute the known values into the equation for static friction:
38 N = coefficient of static friction * 245 N
Solving for the coefficient of static friction:
coefficient of static friction = 38 N / 245 N
coefficient of static friction ≈ 0.155
Therefore, the coefficient of static friction between the chair and the floor is approximately 0.155.
A 25kg chair initially at rest on a horizontal floor requires a 165N horizontal force to set it in motion once the chair is in a 127n horizontal force keeps it moving a a constant velocity
Find the coefficient of static friction between the chair and floor
1 answer
1 answer