Respuesta :
Answer:
Fx = 22N
Explanation:
There are 2 possible scenarios for this problem:
1.- The 10N force is in the same direction of the acceleration. In this case the other force would be:
[tex]F1 - Fx = m*a[/tex] where F1 = 10N, m=6kg, a = 2m/s2
[tex]Fx = F1 - m*a = -2N[/tex] The negative result tells us that this is not possible.
2.- The 10N force is in the opposite direction of the acceleration. In this case the other force would be:
[tex]Fx - F1 = m*a[/tex] [tex]Fx = m*a + F1 = 22N[/tex]
The greatest magnitude of the other force, by which the object accelerates under the application of two forces is 22 N.
What is Newton’s second law of motion?
Newton’s second law of motion shows the relation between the force mass and acceleration of a body. It says, that the force applied on the body is equal to the product of mass of the body and the acceleration of it.
It can be given as,
[tex]\sum F=ma[/tex]
Here, (m) is the mass of the body and (a) is the acceleration.
One of the forces is 10.0N. . Let suppose the magnitude of the other force is [tex]F_x[/tex],
The maximum force we get when both the forces acting on the opposite direction. For this system the summation of force will be,
[tex]\sum F=F_x+(-10)\\\sum F=F_x-10[/tex]
The mass of the object is 6 kg. As the body is accelerating in at 2 m/s. Thus, plug in the values in the above formula as,
[tex]F_x-10=2\times6\\F_x=22\rm N[/tex]
Thus the greatest magnitude of the other force, by which the object accelerates under the application of two forces is 22 N.
Learn more about the Newton’s second law of motion here;
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