Question

A 3.5 kg wooden block is pulled with 12.5 N of force across a rough surface. If the force of friction is 4.8 N, find the net force and the acceleration of the block. (Start by drawing a force diagram.)

Answer 1

Answer:

F = 7.7 [N]

a = 2.2 [m/s²]

Explanation:

In the attached picture we see the forces on the wooden block, the total force is obtained by means of the sum of the pushforce and the friction force.

$F_{total}=12.5-4.8\\F_{total}=7.7[N]$

Now we must apply Newton's second law, which tells us that the total force on the body must be equal to the product of mass by acceleration.

$F=m*a$

$7.7=3.5*a\\a=2.2[m/s^{2} ]$