An object is resting on a flat surface with a coefficient of static friction of 0.65. If the mass os the object is 14Kg, what is the force necessary to start moving?
M*g*(coefficient of static friction)
= 14*9.8*0.65 = ___ N
To calculate the force necessary to start moving the object, we need to understand the concept of static friction. Static friction is the force that keeps an object at rest on a surface. It acts in the opposite direction of the applied force and limits the maximum force before the object starts moving.
The formula for static friction is given by:
F_friction = μ_s * N
Where:
- F_friction is the force of static friction
- μ_s is the coefficient of static friction
- N is the normal force (equal to the weight of the object when on a horizontal surface)
First, we need to calculate the normal force (N) acting on the object. The normal force is equal to the weight of the object (mass * acceleration due to gravity) when on a horizontal surface:
N = m * g
Where:
- m is the mass of the object (14 kg)
- g is the acceleration due to gravity (approximately 9.8 m/s^2)
N = 14 kg * 9.8 m/s^2
N = 137.2 N
Now, we can substitute the values into the formula for static friction:
F_friction = 0.65 * 137.2 N
F_friction = 89.18 N
Therefore, the force necessary to start moving the object is approximately 89.18 Newtons.