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2 answers:
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The x -component of the object's acceleration is 2 m/s².
<h3>What's the resultant force along x- direction?</h3>- Forces along x axis direction are as follows
- 4N along +x axis, so it's taken as +4 N
- 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.
- 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.
Disclaimer: The question was given incomplete on the portal. Here is the complete question.
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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Answer:
6.88 m/s
Explanation:
The Conservation of Energy states that:
Initial Kinetic Energy + Initial Potential Energy = Final Kinetic Energy + Final Potential Energy
So we can write
We can cancel the common factor of which leaves us with
Lets solve for
Subtract from both sides of the equation.
Multiply both sides of the equation by 2.
Simplify the left side.
Apply the distributive property.
Cancel the common factor of 2.
Take the square root of both sides of the equation to eliminate the exponent on the right side.
We are given .
We can now solve for the final velocity.
Anything multiplied by 0 is 0.