Question

background (continued):
newtons second law of motion states that the acceleration of an object depends on the mass of the object and the net force that is applied to that object. this relationship can be further explored by the equation below.
force = mass x acceleration
check for understanding:
a regulation soccer ball has a mass of 0.45 kg. in order to accelerate the ball at a rate of 8 m/s², how much force would you need to apply when you kick the ball?
force = mass x acceleration
kg x m/s² = newtons

Explanation:

Step1: Identify the values

Given \(m = 0.45\) kg (mass) and \(a=8\) \(m/s^{2}\) (acceleration).

Step2: Apply the formula \(F = m\times a\)

Substitute the values into the formula: \(F=0.45\times8\).

Step3: Calculate the result

\(0.45\times8=(0.4 + 0.05)\times8=0.4\times8+0.05\times8=3.2 + 0.4=3.6\).

Answer:

\(0.45\) kg \(\times8\) \(m/s^{2}=3.6\) Newtons