Two forces act on a 8.50-kg object. One of the forces is 14.0 N. If the object accelerates at 3.50 m/s2 , what is the greatest possible magnitude of the other force

Respuesta :

Answer:

The magnitude of the other force is 43.75 N.

Explanation:

Given that,

Mass of the object, m = 8.5 kg

Force 1, [tex]F_1=14\ N[/tex]

Acceleration of the object, [tex]a=3.5\ m/s^2[/tex]

To find,

The greatest possible magnitude of the other force.

Solution,

Let [tex]F_2[/tex] is the magnitude of other force that is acting on the object. For the greatest force, the two forces must be act in opposite direction such that :

[tex]F_2-F_1=ma[/tex]

[tex]F_2=ma+F_1[/tex]

[tex]F_2=14+8.5\times 3.5[/tex]

[tex]F_2=43.75\ N[/tex]

So, the magnitude of the other force is 43.75 N.