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For a moving object the force acting on the object varies directly.with the object's acceleration. When a force of 72 N acts on a certain object the acceleratior of the object is 8m/s^2 . If the acceleration of the object becomes 7m/s^2 what is the force? square N

Question

For a moving object the force acting on the object varies directly.with the object's acceleration. When a force of 72 N acts on a certain object the acceleratior
of the object is 8m/s^2
. If the acceleration of the object becomes 7m/s^2 what is the force?
square 
N

For a moving object the force acting on the object varies directly.with the object's acceleration. When a force of 72 N acts on a certain object the acceleratior of the object is 8m/s^2 . If the acceleration of the object becomes 7m/s^2 what is the force? square N

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OscarElite · Tutor for 8 years

Answer

<p> 63 N</p>

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<p> This problem can be understood through Newton's Second Law of Motion, which states that force is equal to the mass times acceleration (F=ma). We are given the relationship where the force exerted on an object is proportionate to acceleration. When the force is 72N, the corresponding acceleration is 8 m/s^2. <br />Therefore 72N = m(8 m/s^2) &#8594; m = 72N/8 m/s^2 = 9kg (this is the object's mass).<br />Now, the problem asks about the force when the acceleration has been changed to 7 m/s^2. <br />By using the equation for force again, F = m(a), we substitute 9kg for mass and the new acceleration value into the equation.</p>
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