Question

a soccer ball kicked with a force of 13.3 n accelerates at 7.3 m/s² to the right. what is the mass of the ball? answer in units of kg.

Explanation:

Step1: Recall Newton's second law

Newton's second law is \(F = ma\), where \(F\) is the force, \(m\) is the mass, and \(a\) is the acceleration. We need to solve for \(m\), so we can rewrite the formula as \(m=\frac{F}{a}\).

Step2: Substitute the given values

We are given \(F = 13.3\space N\) and \(a=7.3\space m/s^{2}\). Substituting these values into the formula \(m=\frac{F}{a}\), we get \(m=\frac{13.3}{7.3}\).

Step3: Calculate the mass

\(m=\frac{13.3}{7.3}\approx1.82\space kg\)

Answer:

\(1.82\space kg\)