Question
Paulina kicks a football . It accelerates towards the goal at 10m/s^2 The ball has a mass of 430 g . With what force did Paulina kick the ball?
Answer
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Arthur
Professional · Tutor for 6 years
Answer
By curing through our steps, taking values and plug them into Newton's law
, it ends to F =
So, Paulina kicked the ball with a force of
, this being verified to the smallest detail.
Explanation
## Step1: First, we need to establish the appropriate formula that can be applied to this problem. In this case, since we are dealing with force, mass and acceleration, we can use Newton's second law of motion which is represented mathematically as F = m * a, where: - F represents force,- m denotes the mass, - a refers to the acceleration.## Step2: Additionally, noting that in the problem the mass of the ball is given in grammes(g), we need to convert it to base SI unit, the kilogram(kg). We do this since the force is measured in Newtons, a derived SI unit which is based on the kilogram, not gramme. For mass m,
. ## Step3: Once we have asserted the formula to use and put the mass in the right unit, we can substitute the given values into the equation. The mass m of the ball is
and the acceleration a is
.