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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

Respuesta :

Answer:

[tex]\huge\boxed{\sf a = 6.4 \ m/s^2}[/tex]

Explanation:

Given Data:

Horizontal Force = 40 N

Frictional Force = 8 N

Mass = m = 5 kg

Required:

Acceleration = a = ?

Formula:

[tex]\displaystyle a =\frac{F}{m}[/tex]

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,

[tex]\displaystyle a = \frac{F}{m} \\\\a =\frac{32}{5} \\\\a = 6.4 \ m/s^2\\\\\rule[225]{225}{2}[/tex]

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