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The forces in (Figure 1) are acting on a 2.5 kg object. What is *a**x*, the *x*-component of the object’s acceleration?

Revelant knowledge

Newton’s Second Law of Motion gives us a crucial relationship between motion and force. It describes the force that acts on an object to be equal to the product of the object’s mass and its acceleration. Because acceleration and force are both vectors This Law is applicable to vectors as well as their constituents.

The formula is: F = ma

Answer:You are asked to calculate the acceleration in the direction of x. We are interested only in the acceleration in the direction of x. Therefore, we also want to know the forces in the direction of x.

F = maF( F_{x}= ma_{x}_{x}= Forces in the x direction, m = mass, a_{x}= Acceleration in the x direction)The figure shows that there are only two forces acting in the x direction. The first force, the x component force force 4.0 N, is to the right. It is denoted by +4.0 N. The other force, the 2.0 N force to the left is denoted with -2.0 N.

F_{x}= ma_{x}⇔ 4.0 N – 2.0 N = (2.5)*a

_{x}⇔ 2.0 N = (2.5)*a

_{x }⇔ a

_{x}= 0.8m/s^{2}