Can a 10N Force Overcome Friction to Move a 10kg Block?

[Benjamin_harsh]

Homework Statement

How to solve this block problem?

Relevant Equations

How to solve this block problem?

A block of mass $10kg$ rests on a horizontal floor. The acceleration due to gravity
is $9.81 m/s^{2}$. The coefficient of static friction between the floor and the block is $0.2$.
A horizontal force of $10N$ is applied on the block as shown in the figure.
The magnitude force of friction (in N) on the block:

I can able to find $F_{s}^{max} = 98 * 0.2 = 19.6$ ($F_{n} = 9.8 * 10kg = 98$)

After this how to proceed.

 

[haruspex]

After this how to proceed.

Consider whether the block will move.

By the way, you are not using the template properly. The description of the problem ("a block of mass ...") should appear under "problem statement " and relevant equations are such as "$F_s\leq\mu_sN$".

 

[kuruman]

It's also a good idea to put the appropriate units next to any numbers that you write down unless they are dimensionless.