A 5kg mass on horizontal platform accelerated at the rate of 0.1m/s^2 when a horizontal force of 10newton is applied to it .Caculate the co-efficient between it and the platform(gravity=10m/s^2)
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To calculate the coefficient of friction between the mass and the platform, we can use the equation:
Coefficient of friction (μ) = Force of friction (Ff) / Normal force (Fn)
First, let's calculate the normal force (Fn) acting on the 5kg mass. The normal force is the force exerted by a surface in the opposite direction to support the weight of an object. In this case, the normal force is equal to the weight of the mass.
Weight (W) = mass (m) * acceleration due to gravity (g)
W = 5kg * 10m/s^2
W = 50N
So, the normal force acting on the mass is 50N.
Now, let's calculate the force of friction (Ff) between the mass and the platform. The force of friction can be calculated using the equation:
Force of friction (Ff) = coefficient of friction (μ) * Normal force (Fn)
In this case, we have the force of friction (Ff) given as 10 Newtons. Therefore:
10N = μ * 50N
Now, we can solve this equation for the coefficient of friction (μ):
μ = 10N / 50N
μ = 0.2
Therefore, the coefficient of friction between the mass and the platform is 0.2.