Question

The forces in (Figure 1) are acting on a 1.0 kg object.What is ax , the x -component of the object's acceleration

Answer 1

The x -component of the object's acceleration is 2 m/s².

What's the resultant force along x- direction?

• Forces along x axis direction are as follows

1. 4N along +x axis, so it's taken as +4 N
2. 2N along -x axis , so it's taken as -2N.

• Resultant force along x direction = 4N - 2N = 2 N which is along + ve x direction.

What's the acceleration along x axis direction?

• As per Newton's second law, Force = mass × acceleration of the object
• Force along x axis= mass × acceleration along x axis= 2N
• Acceleration = 2/ mass = 2/1 = 2 m/s²

Thus, we can conclude that the acceleration along x axis is 2 m/s².

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Question: The forces in (Figure 1) are acting on a 1.0 kg object. What is ax, the x-component of the object's acceleration?

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