Question

a sports car accelerates from rest to 27 m/s in 6.3 seconds. the car exerts a force of 4106 n. what is the mass of the car?

Explanation:

Step1: Calculate acceleration

Use the formula \(a=\frac{v - u}{t}\), where \(u = 0\ m/s\) (starts from rest), \(v=27\ m/s\), \(t = 6.3\ s\).
\(a=\frac{27- 0}{6.3}=\frac{27}{6.3}\approx4.286\ m/s^{2}\)

Step2: Calculate mass

Use Newton's second law \(F = ma\), so \(m=\frac{F}{a}\). Given \(F = 4106\ N\), \(a\approx4.286\ m/s^{2}\)
\(m=\frac{4106}{4.286}\approx958\ kg\)

Answer:

\(958\ kg\)