Question

A 5kg block is pulled across a table by a horizontal force of 40 N with a frictional 8N opposing the motion. Calculate the acceleration of the object

Answer 1

`\huge\boxed{\sf a = 6.4 \ m/s^2}`

Step-by-step explanation:

Given Data:

Horizontal Force = 40 N

Frictional Force = 8 N

Mass = m = 5 kg

Required:

Acceleration = a = ?

Formula:

`\displaystyle a =(F)/(m)`

Solution:

Since frictional force is opposing force, the resultant force will be horizontal force minus frictional force.

So,

Force = Horizontal force - Frictional force

Force = 40 - 8

Force = 32 N

So,

`\displaystyle a = (F)/(m) \\\\a =(32)/(5) \\\\a = 6.4 \ m/s^2\\\\\rule[225]{225}{2}`