Question

a 500 n force is applied to an object, causing it to accelerate 25 m/s2. the mass of the object is
12,500 n
20 m/s
12,500 kg
20 kg

Explanation:

Step1: Recall Newton's second law

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

Step2: Substitute the given values

Given \(F = 500\space N\) and \(a=25\space m/s^{2}\). Substitute these into the formula: \(m=\frac{500}{25}\).

Step3: Calculate the mass

\(\frac{500}{25}=20\).

Answer:

\(20\space kg\) (the fourth option)