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2. a car undergoes a uniform acceleration of 7.5 m/s². if the force cau…

Question

  1. a car undergoes a uniform acceleration of 7.5 m/s². if the force causing the acceleration is 5560 n, what is the mass of the car?

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

We are given that \(F = 5560\space N\) and \(a=7.5\space m/s^{2}\). Substituting these values into the formula \(m=\frac{F}{a}\), we get \(m=\frac{5560}{7.5}\).

Step3: Calculate the mass

\(m=\frac{5560}{7.5}\approx741.33\space kg\)

Answer:

The mass of the car is approximately \(741.33\space kg\)