The forces in (Figure 1) are acting on a 3.0kg object.

Part A
What is ax, the x-component of the object's acceleration?
Express your answer to two significant figures and include the appropriate units
| ax = |
The required concepts to solve the given problem are Newton’s second law of motion, and the vectors.
First, calculate the
component of force acting on the object from the diagram. Then use Newton’s second law of motion to find the acceleration of the object along the
direction.
Force may be defined as the sudden push or pull which is capable of changing the direction of the object.
Newton’s second law states that the acceleration of an object produced by a net force is directly proportional to the magnitude of net force and inversely proportional to the mass of the object.
Expression for force acting on an object is,

Here,
is the force acting on the object,
is the mass and
is its acceleration.
A vector is a quantity that has both magnitude and direction. Force is a vector quantity. It has both magnitude and direction. Direction of force is same as that of the direction of acceleration.
Acceleration of the object is,

The
component of acceleration is,

Here,
is the mass of the object,
is the
component of acceleration and
is the
component of force.
(A)
Consider the given diagram. Here, force is acting along the positive and negative
directions. Let
represents the positive side of the
axis and
represents the negative side of the
axis.

From the diagram,
component of force acting on the object is,

Here,
is the force acting along the positive
axis and
is the force acting along the negative
axis.
Substitute
for
and
for
.

The
component of acceleration is,

Substitute
for
and
for
.

The
component of acceleration is
.
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Express your answer to two significant figures and include the
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Express your answer to two significant figures and include the
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