A 5kg mass on a horizontal platform accelerated at the rate of 0•m/s^2 when a horizontal force of 10n is applied to it calculate the coefficient of friction between it and the platform g[10m/s^2 surface is 8n
0 acceleration, so infinite friction.
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To calculate the coefficient of friction between the mass and the platform, we need to consider the forces acting on the mass.
The force applied to the mass is 10 N, and the gravitational force on the mass can be calculated using the formula:
Weight = mass * acceleration due to gravity
Weight = 5 kg * 10 m/s^2 = 50 N
Since the platform is not moving vertically, the normal force exerted by the platform on the mass is equal to the weight of the mass, which is 50 N.
The frictional force can be calculated using the formula:
Frictional force = coefficient of friction * normal force
Given that the normal force is 50 N and the frictional force is 8 N, we can rearrange the formula to find the coefficient of friction:
coefficient of friction = frictional force / normal force
coefficient of friction = 8 N / 50 N = 0.16
So, the coefficient of friction between the mass and the platform is 0.16.
To calculate the coefficient of friction between the 5kg mass and the platform, we can use the equation:
F_friction = μ * N
Where:
F_friction is the force of friction between the mass and the platform,
μ is the coefficient of friction,
N is the normal force (the force exerted by the platform on the mass).
In this case, we have a horizontal force of 10N accelerating the mass, and the acceleration is given as 0 m/s^2. This implies that the net force acting on the mass is zero, as the applied force is balanced by the force of friction.
The normal force (N) can be calculated using the formula:
N = m * g
Where:
m is the mass of the object (5kg),
g is the acceleration due to gravity (given as 10m/s^2).
N = 5kg * 10m/s^2
N = 50N
Since the net force is zero, the force of friction (F_friction) must be equal to the applied force of 10N.
F_friction = 10N
Therefore, we can solve for the coefficient of friction (μ):
10N = μ * 50N
Dividing both sides by 50N:
μ = 10N / 50N
μ = 0.2
So, the coefficient of friction between the 5kg mass and the platform is 0.2.