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Elle is pushing a box of mass 7.0 kilograms with the force of 25 newtons. If the force of friction is 2.6 newtons, what is the value of acceleration of the box? 0.7 meters/second 2.6 meters/second 3.2 meters/second 3.6 meters/second

Respuesta :

F=mxa
(25-2.6)=7 X a
22.4\7=a
a =3.2 metres per second squared

Answer:

Acceleration, [tex]a=3.2\ m/s^2[/tex]

Explanation:

It is given that,

Mass of the box, m = 7 kg

Force acting on the box, F = 25 N

Frictional force, f = 2.6 N

We need to find the acceleration of the box. The net force acting on the box is ( F - f ) = (25 - 2.6) = 22.4 N

Using second law of motion as :

[tex]a=\dfrac{F}{m}[/tex]

[tex]a=\dfrac{22.4\ N}{7\ kg}[/tex]

[tex]a=3.2\ m/s^2[/tex]

So, the acceleration of the box is [tex]3.2\ m/s^2[/tex]. Hence, this is the required solution.                              

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