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To find the mass of the ball, we can use Newton's second law of motion, which states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass.
The formula is given as:
F = m * a
Where:
F = Force (in Newtons)
m = Mass (in kilograms)
a = Acceleration (in meters per second squared)
In this case, we need to rearrange the formula to solve for mass.
m = F / a
Given:
Force (F) = 14.8 N
Acceleration (a) = 6 m/s^2
Now, substituting the given values into the formula:
m = 14.8 N / 6 m/s^2
m ≈ 2.4667 kg
Therefore, the mass of the soccer ball is approximately 2.4667 kilograms.