Question

a horizontal force f acts on block of mass m and block remains stationary, value of frictional force​

Answer 1

Answer:

if the block is not moving eventhough a force is applied on the block, it means that the force applied is not enough such that it is greater than friction.

therefore, the frictional force acting in a block when it is not moving is static friction and it is equal to the force applied.

therefore, frictional force=applied force,F

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Answer 2

Value of frictional force here is $f$.

Explanation:

From the figure below:

• A force $f$ is acting on the body in right direction.
• For the block to remain stationary and show no change in its state of motion, it should be in equilibrium.
• For state of equilibrium, the body has to experience balanced force.
• A balanced force is when the net result of force acting in a system becomes zero.
• Here frictional will act opposite to the force applied.

Net force will be: $F_{net} =f+friction$

For balanced force system, $F_{net}$$=0$

So, here

$F_{net} =f+friction\\0=f+friction\\friction=-f$

The magnitude of friction force is $f$ and minus sign denotes that it is working in opposite direction to force applied i.e. $f$ .