Question

A force P is applied to the block as shown in the figure. The acceleration to the block is 2 m/s when the force is applied. The coefficient of kinetic friction between the block and plane is u = 0.25. Calculate the magnitude of force P if the mass of the block is 100 kg. =

Consider the block initially at rest on a horizontal plane.​

Answer 1

Given:

acceleration to the block a = 2 m/s

coefficient of kinetic friction between the block and plane μ = 0.25

mass of the block m = 100 kg

To find:

the magnitude of force F =?

Step-by-step explanation:

• Given that, the acceleration to the block is 2 m/s when the coefficient of kinetic friction between the block and plane is 0.25.
• We have to calculate the magnitude of force P if the mass of the block is 100 kg is attached to it.
• The magnitude of friction force between the block and plane is given by

       f = μN

       where

       f = magnitude of friction force

       μ = coefficient of kinetic friction

       N = normal force

• But this normal force is the product of the mass of the object & acceleration due to gravity.
• Let's consider the value of acceleration due to gravity is 10 m/s²

        N = mg

• Put this formula in the above equation

        f =  μmg

          = 0.25 × 100 × 10

        f = 250 N

Hence the magnitude of a force when the mass of the block 100 kg is attached to it is 250N.