For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 42 N acts on a certain object, the acceleration of the object is 6 /ms2. If the force is changed to 49 N, what will be the acceleration of the object?/ms2
Question
For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 42 N acts on a certain object, the acceleration of the object is 6 /ms2. If the force is changed to 49 N, what will be the acceleration of the object?/ms2
Solution
The problem is based on the principle of Newton's second law of motion, which states that the force acting on an object is equal to the mass of the object multiplied by its acceleration (F = ma).
From the problem, we know that a force of 42 N causes an acceleration of 6 m/s². We can use this information to find the mass of the object.
Step 1: Find the mass of the object We rearrange the formula to solve for mass (m = F/a). Substituting the given values, we get m = 42 N / 6 m/s² = 7 kg.
Step 2: Find the new acceleration The problem also tells us that the force is changed to 49 N. We can use the mass we just found and this new force to find the new acceleration (a = F/m). Substituting the given values, we get a = 49 N / 7 kg = 7 m/s².
So, if the force is changed to 49 N, the acceleration of the object will be 7 m/s².
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