Question

1. an object of unknown mass has a 100 newton net force applied to it and accelerates at 0.5 m/s². what must be the mass of the object? show your work.
2. an object has a mass of 450 kg and has a net force of 1,000 newtons applied to it. what is the magnitude of the object’s acceleration? show your work.

Explanation:

Step1: Recall Newton's second law

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

Step2: Substitute the given values

Given \(F = 1000\space N\) and \(m=450\space kg\). Substitute these values into the formula \(a=\frac{F}{m}\), so \(a=\frac{1000}{450}\space m/s^{2}\).

Step3: Calculate the value of \(a\)

\(a=\frac{1000}{450}=\frac{20}{9}\approx2.22\space m/s^{2}\)

Answer:

The magnitude of the object’s acceleration is \(\frac{20}{9}\space m/s^{2}\) or approximately \(2.22\space m/s^{2}\)