For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 6 N acts on a certain object, the acceleration of the object is 2 /ms2. If the force is changed to 9 N, what will be the acceleration of the object?
Question
For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 6 N acts on a certain object, the acceleration of the object is 2 /ms2. If the force is changed to 9 N, what will be the acceleration of the object?
Solution
The relationship between force (F) and acceleration (a) is given by Newton's second law of motion, which states that F = ma, where m is the mass of the object.
From the problem, we know that a force of 6 N causes an acceleration of 2 m/s². We can use this information to find the mass of the object.
Step 1: Rearrange the formula to solve for m: m = F/a Step 2: Substitute the given values into the formula: m = 6 N / 2 m/s² = 3 kg
Now that we know the mass of the object, we can find the acceleration when the force is changed to 9 N.
Step 3: Rearrange the formula to solve for a: a = F/m Step 4: Substitute the given values into the formula: a = 9 N / 3 kg = 3 m/s²
So, if the force is changed to 9 N, the acceleration of the object will be 3 m/s².
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