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3. what would be the mass of a truck if it is accelerating at a rate of…

Question

  1. what would be the mass of a truck if it is accelerating at a rate of 5.0 m/s² and hits a parked car with a force of 14.000 n?

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

We are given that \(F = 14000\space N\) and \(a=5.0\space m/s^{2}\). Substituting these values into the formula \(m=\frac{F}{a}\), we get \(m=\frac{14000}{5.0}\).

Step3: Calculate the mass

\(m=\frac{14000}{5.0}=2800\space kg\)

Answer:

The mass of the truck is \(2800\space kg\)