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A 5.31 kg object is being pulled directly to the right by a 47.05 N force. It it also experiencing a 29.36 N frictional force. What is the magnitude of the object’s acceleration? (Round to 2 decimal places)

User Iznogood
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Final answer:

To calculate the object’s acceleration, the net force is determined by subtracting the frictional force from the pulling force and then divided by the object's mass, resulting in an acceleration of approximately 3.33 m/s².

Step-by-step explanation:

To find the magnitude of the object’s acceleration, we need to use Newton’s second law of motion, which states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration (F = ma). In this scenario, we have two forces acting on the object, a pulling force to the right and a frictional force opposing its motion. First, we calculate the net force by subtracting the frictional force from the pulling force: 47.05 N (pulling force) − 29.36 N (frictional force) = 17.69 N (net force). Next, we use Newton's second law to find the acceleration by dividing the net force by the object’s mass: Acceleration = Net Force / Mass = 17.69 N / 5.31 kg ≈ 3.33 m/s² (rounded to two decimal places).

User Klark
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