How much minimum force is required to slide an 85 kg mass with a coefficient of static friction of 0.65?

To determine the minimum force required to slide an 85 kg mass with a coefficient of static friction of 0.65, we need to calculate the static frictional force acting on the mass. The formula for static friction is given by:

[ f_s = \mu_s \times N ]

where ( \mu_s ) is the coefficient of static friction and ( N ) is the normal force.

The normal force for an object resting on a horizontal surface is equal to the weight of the object, which can be calculated using the formula:

[ N = m \times g ]

where ( m ) is the mass (85 kg) and ( g ) is the acceleration due to gravity (approximately 9.81 m/s²).

First, we calculate the normal force:

[ N = 85 , \text{kg} \times 9.81 , \text{m/s²} = 833.85 , \text{N} ]

Next, we calculate the maximum static frictional force:

[ f_s = \mu_s \times N = 0.65 \times 833.85 , \text{N} \approx 541.0025 \