Question

a boats motor pushes with 25 n of force and viscous friction resists with 5 n. if the boat is 100 kg, find its acceleration.

Explanation:

Step1: Calculate net force

Net force \(F_{net}=F_{motor}-F_{friction}\). Given \(F_{motor} = 25\ N\) and \(F_{friction}=5\ N\), so \(F_{net}=25 - 5=20\ N\).

Step2: Use Newton's second law \(F = ma\) to find acceleration

Newton's second law is \(a=\frac{F_{net}}{m}\). Given \(m = 100\ kg\) and \(F_{net}=20\ N\), then \(a=\frac{20}{100}\).

Answer:

\(0.2\ m/s^{2}\)