Question

2 samuel is pushing a loaded shopping cart out to his car. he pushes with a force of 48.8 n, causing the cart to accelerate at a rate of 1.15 m/s². what is the mass of the loaded shopping cart?
56.1 kg
42.4 kg
50.0 kg
47.7 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

Given \(F = 48.8\space N\) and \(a=1.15\space m/s^{2}\). Substitute these values into the formula \(m=\frac{48.8}{1.15}\).

Step3: Calculate the mass

\(m=\frac{48.8}{1.15}=42.43478\approx42.4\space kg\)

Answer:

42.4 kg