Question

A 5 kg box is sitting on a rough wooden surface. The coefficient of static friction between the box and surface is 0.6. If the normal force on the box is 50 N, calculate the force of friction which must be overcome to move the box. Round your answer to the nearest whole number.

Answer 1

The force of friction needed to overcome to move the box is 29.4N

According to Newton's second law;

$\sum F_x = ma_x$

Taking the sum of force along the plane;

$F_m -F_f = ma\\F_m -F_f = 0\\F_m=F_f = \mu R$

This shows that the moving force is equal to the frictional force

Given that

$\mu = 0.6\\R = mg = 49N$

Get the frictional force;

Since

$F_f = \mu R\\F_f = 0.6 \times 49\\F_f = 29.4N$

Hence the force of friction needed to overcome to move the box is 29.4N

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