Question

1. an average net force of 16.0 n acts on an object for 2.00 x 10^{-1} s causing it to accelerate from rest to 3.50 m/s. what is the mass of the object?

Explanation:

Step1: Find the acceleration

Use the formula \(a=\frac{v - u}{t}\), where \(u = 0\space m/s\) (starts from rest), \(v=3.50\space m/s\), and \(t = 2.00\times10^{-1}\space s\).
\(a=\frac{3.50 - 0}{2.00\times10^{-1}}=\frac{3.50}{0.2}=17.5\space m/s^{2}\)

Step2: Find the mass

Use Newton's second law \(F = ma\), where \(F = 16.0\space N\) and \(a=17.5\space m/s^{2}\). Rearranging for \(m\) gives \(m=\frac{F}{a}\).
\(m=\frac{16.0}{17.5}=\frac{160}{175}=\frac{32}{35}\approx0.914\space kg\)

Answer:

\(0.914\space kg\)