Question

select the correct answer
a carmaker has designed a car that can reach a maximum acceleration of 12 meters/second². the cars mass is 1,515 kilograms. assuming the same engine is used, what should the cars mass be if the carmaker wants to reach an acceleration of 15 meters/second²? use f = ma
○ a. 1,212 kg
○ b. 1,335 kg
○ c. 1,466 kg
○ d. 1,515 kg
○ e. 1,894 kg

Explanation:

Step1: Calculate the force of the first - case

Since \(F = ma\), when \(a_1=12\ m/s^{2}\) and \(m_1 = 1515\ kg\), the force \(F=m_1a_1=1515\times12\ N\).

Step2: Calculate the new mass

The force remains the same when the engine is the same. Let the new mass be \(m_2\) and the new acceleration \(a_2 = 15\ m/s^{2}\). Since \(F=m_2a_2\), and \(F = 1515\times12\ N\), then \(m_2=\frac{F}{a_2}=\frac{1515\times12}{15}\ kg\).
\[m_2=\frac{1515\times12}{15}=\frac{18180}{15}=1212\ kg\]

Answer:

A. 1,212 kg