Question

A block of mass 27.00 kg sits on a horizontal surface with, coefficient of kinetic

friction 0.50 and a coefficient of static friction 0.65. How much force is required to
get the block moving?

Answer 1

The force is
`F = 172 \ N`

Step-by-step explanation:

From the question we are told that

The mass of the block is
`m_b = 27.0 \ kg`

The coefficient of static friction is
`\mu_s = 0.65`

The coefficient of kinetic friction is
`\mu_k = 0.50`

The normal force acting on the block is

`N = m * g`

substituting values

`N = 27 * 9.8`

`N = 294.6 \ N`

Given that the force we are to find is the force required to get the block to start moving then the force acting against this force is the static frictional force which is mathematically evaluated as

`F_f = \mu_s * N`

substituting values

`F_f = 0.65 * 264.6`

`F_f = 172 \ N`

Now for this block to move the force require is equal to
`F_f` i.e

`F= F_f`

=>
`F = 172 \ N`